WO2010084840A1 - 押込試験方法および押込試験装置 - Google Patents
押込試験方法および押込試験装置 Download PDFInfo
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- WO2010084840A1 WO2010084840A1 PCT/JP2010/050499 JP2010050499W WO2010084840A1 WO 2010084840 A1 WO2010084840 A1 WO 2010084840A1 JP 2010050499 W JP2010050499 W JP 2010050499W WO 2010084840 A1 WO2010084840 A1 WO 2010084840A1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/40—Investigating hardness or rebound hardness
- G01N3/42—Investigating hardness or rebound hardness by performing impressions under a steady load by indentors, e.g. sphere, pyramid
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0058—Kind of property studied
- G01N2203/0069—Fatigue, creep, strain-stress relations or elastic constants
- G01N2203/0075—Strain-stress relations or elastic constants
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0058—Kind of property studied
- G01N2203/0076—Hardness, compressibility or resistance to crushing
- G01N2203/0078—Hardness, compressibility or resistance to crushing using indentation
- G01N2203/0082—Indentation characteristics measured during load
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0058—Kind of property studied
- G01N2203/0089—Biorheological properties
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/02—Details not specific for a particular testing method
- G01N2203/06—Indicating or recording means; Sensing means
- G01N2203/067—Parameter measured for estimating the property
- G01N2203/0682—Spatial dimension, e.g. length, area, angle
Definitions
- the present invention relates to a novel indentation test method.
- the present invention also relates to a novel indentation test apparatus using the above indentation test method.
- the indentation test that is generally used for measuring the hardness of materials similarly enables minimally invasive measurement because it is not necessary to cut out a test piece.
- Hertz's elastic contact theory has high reliability for metal materials (for example, see Non-Patent Document 1).
- the inventor has disclosed the technical contents related to the present invention (see, for example, Non-Patent Documents 6 to 9).
- the present invention has been made in view of such problems, and an object thereof is to provide a novel indentation test method. Another object of the present invention is to provide a novel indentation test apparatus using the above indentation test method.
- the indentation test method of the present invention calculates the equivalent indentation strain of the sample using the sample thickness in the indentation test method of indenting the sample into the sample, The Young's modulus of the sample is calculated using the equivalent indentation strain.
- the indenter is preferably a ball indenter.
- the diameter of the ball indenter is preferably in the range of 1 ⁇ 10 ⁇ 8 to 1 m.
- the indentation test apparatus of the present invention is an indentation test apparatus that indents a sample into a sample, an equivalent indentation strain calculation unit that calculates an equivalent indentation strain of the sample using the sample thickness, and a Young's sample of the sample using the equivalent indentation strain. It has the Young's modulus calculation part which calculates a rate, It is characterized by the above-mentioned.
- the indenter is preferably a ball indenter.
- the diameter of the ball indenter is preferably in the range of 1 ⁇ 10 ⁇ 8 to 1 m.
- the present invention has the following effects.
- the indentation test method of the present invention calculates the equivalent indentation strain of the sample using the sample thickness and calculates the Young's modulus of the sample using the equivalent indentation strain, a novel indentation test method can be provided. .
- the indentation test apparatus of the present invention has an equivalent indentation strain calculation unit that calculates the equivalent indentation strain of the sample using the sample thickness, and a Young's modulus calculation unit that calculates the Young's modulus of the sample using the equivalent indentation strain.
- a new indentation test apparatus can be provided.
- FIG. 5 is a diagram showing the relationship between an indentation amount ⁇ obtained from an indentation test and a load F together with a curve approximated by a least square method using an equation based on Hertz's elastic contact theory.
- FIG. 6 is a diagram showing the relationship between an indentation amount ⁇ obtained from an indentation test and a load F together with a curve approximated by a least square method using an equation that expresses the influence of an increase in load. It is a figure which shows the relationship between the 2nd derivative of a ball
- FIG. 4 is a graph showing the second-order derivative of the ball indenter indentation coefficient in logarithm and showing the relationship with the sample thickness.
- the indentation test method is an indentation test method in which a ball indenter is indented into a sample.
- the sample thickness is identified, the equivalent indentation strain of the sample is calculated using the sample thickness, and the Young's sample of the sample is calculated using the equivalent indentation strain. This is a method for calculating the rate.
- the indentation test apparatus includes a sample thickness identification unit for identifying a sample thickness and an equivalent indentation strain calculation unit for calculating an equivalent indentation strain of the sample using the sample thickness. And a Young's modulus calculator that calculates the Young's modulus of the sample using the equivalent indentation strain.
- the indentation test evaluation method will be described. First, contact deformation of a finite sample will be described. When a sufficiently hard ball indenter is pushed into a semi-infinite body sample and Hertz's elastic contact theory is used, the relationship between the pushing load F and the pushing amount ⁇ shown in FIG. 1 is expressed as follows.
- ⁇ , E, and ⁇ are the diameter of the ball indenter, the Young's modulus of the sample (hereinafter also referred to as “Young's modulus”), and the Poisson's ratio (hereinafter also referred to as “Poisson ratio”), respectively.
- Young's modulus the Young's modulus of the sample
- Poisson ratio the Poisson's ratio
- This ⁇ H overline is referred to as a Hertz strain.
- Equation (2) Hertz's elastic contact theory to the indentation test result of the finite body sample
- E hat obtained by application is higher than the original value E.
- the Young's modulus E hat obtained in this way is referred to as a spherical indentation modulus.
- the sample thickness hi can be deduced from the information at the start of contact.
- This ⁇ I overline is an attempt to express the three-dimensional strain distribution that occurs in the sample in the indentation process with an equivalent uniaxial strain, which is called the equivalent indentation strain. .
- a compression region V accompanied by deformation due to a particularly heavy load is considered in the sample.
- this region V as shown by the shaded portion in FIG. 4, an ellipsoid that is orthogonal to the surface of the indenter sphere on the intermittence line between the initial surface and the indenter surface and also orthogonal to the lower boundary surface of the sample is considered.
- the function of the ellipse expressed using the distance ⁇ from the load axis z to the intersection line at the lower boundary surface and the height ⁇ of the ellipsoid
- the volume V of the compression region can be expressed by the following equation.
- the strain generated in the compression region can be obtained from the region change dV.
- a method of simply expressing this region change dV by the amount of movement d ⁇ of the upper surface of the compression region will be examined.
- the region change dV can be expressed by the following equation using the movement amount d ⁇ .
- the change rate ⁇ V overline increment d ⁇ V overline of the compression region V can be defined by the following equation.
- strain ⁇ V overline generated in the compression region can be expressed by the following equation.
- the nominal strain is uniaxial.
- the thickness h is infinite
- Equation (3) is established by the relationship between the stress ⁇ and the load F hat at the contact portion, the Young's modulus E of the sample can be derived from the following equation using the equivalent indentation strain ⁇ I overline.
- This indentation tester has a form in which a load shaft 5 attached to an actuator 1 (NSK, XY-HRS400-RH202) having a maximum speed of 1.2 m / s is controlled by a PC.
- the load is obtained from the load cell 2 attached to the shaft (manufactured by Kyowa Denki Co., Ltd., LURA100NSA1). Measure by.
- the indentation test system 16 calculates the Young's modulus from the load value F sent from the load cell 2 of the indentation tester 15 and the indentation amount ⁇ sent from the potentiometer 3.
- the movement of the indentation tester 15 is also controlled by the indentation speed control unit 13.
- the sample thickness is identified from the indentation amount ⁇ sent and the calculated Young's modulus, and the strain considering the effect of the sample thickness based on the identified and calculated sample thickness. Is calculated, and the Young's modulus in consideration of the influence of the sample thickness is calculated. All of the data handled by the CPU unit 9 is recorded in the storage unit 14.
- polyurethane resin which is also used as a pseudo-biological sample, is selected as a soft material because it is easy to mold and has stable characteristics.
- Adopt mat sheet material The shape of the sheet material is 80 ⁇ 10 ⁇ 3 m in both vertical and horizontal dimensions, but the thickness is about 4 ⁇ 10 ⁇ 3 m, and the tensile test is performed together for verification.
- This sample is a square columnar sample cut out from one sheet, and in the indentation test, a sample having a plurality of thicknesses is created by bonding using the viscosity of the sample. Table 1 shows the actual measured values of the sample thickness.
- the indentation speed in order to reduce the influence of the viscosity of the polyurethane resin as much as possible, the indentation speed is carried out under the slowest conditions in the apparatus specifications.
- the Young's modulus by the tensile test will be described.
- the results of the tensile test will be shown.
- the tensile test conditions are shown in Table 2. Particularly, since the tensile speed was 1.0 ⁇ 10 ⁇ 4 m / s which is the slowest apparatus specification, the strain speed was 0.005 / s.
- FIG. 7 shows the result of the tensile test performed under these conditions.
- the curve indicated by the broken line in this result is slightly convex downward.
- the Young's modulus E obtained from this curve is shown by a solid line.
- hardening is observed as the strain ⁇ T increases due to tension.
- FIG. 8 shows the relationship between the indentation amount ⁇ and the load F obtained from the indentation test on the samples having the thicknesses shown in Table 1, and approximated them by the least square method using Equation (1) based on Hertz's elastic contact theory. It is shown together with the curve.
- FIG. 9 shows the result together with the approximated curve.
- the value of the coefficient B is as shown in Table 3.
- FIG. 10 shows the relationship between the second derivative E-hat and second-order derivative and the sample thickness hi. As the sample thickness hi decreases, the second derivative E-hat and second-order derivative are exponential. Showed an increase. The broken line in FIG. 10 shows this result as an exponential function
- FIG. 11 is a logarithmic representation of the axis of the second-order derivative E-hat / second-order differential coefficient as a result of approximation by.
- the coefficients H and G are the values shown in Table 4 IV.
- This method relates to a method in which the Young's modulus can be identified even if the thickness of the sample is different in consideration of the information after the sample thickness is clarified by the above and / or other methods.
- Equation (4) the Hertz strain ⁇ H overline in Equation (5) that is a monotonically increasing function with respect to indentation amount ⁇
- Equation (5) the Hertz strain ⁇ H overline obtained from Equation (5) from the indentation amount ⁇ and the measured load F.
- the value at strain 0 obtained from the relationship of formula (25) is the Young's modulus E 0 at the time of contact, but it is remarkably high in the sample with the smallest thickness hi. This indicates that it is difficult to identify the ball indenter indentation coefficient E hat by indentation when the sample thickness hi is extremely small.
- the ball indenter indentation coefficient E hat derived by the indentation progress indicated by each line is high as shown in Fig. 3 (a), but is almost constant when the thickness hi is 0.0178m or more. The result is obtained. This is because the influence of strain intensively generated under the indenter becomes more significant as the sample thickness hi is smaller.
- the Young's modulus E was determined using the relationship between the equivalent indentation strain ⁇ I overline in Equation (19) and Equation (23) that expresses the effect of concentrated strain occurring under the indenter.
- the results are shown in FIG. This is measured as the equivalent indentation strain ⁇ I overline obtained from equation (13) as the sum of the Hertz strain ⁇ H overline obtained from equation (5) and the deformation rate ⁇ V overline obtained from equation (5).
- the load F is obtained by the equation (4).
- the indentation test method is an indentation test method in which a ball indenter is indented into a sample.
- the sample thickness is identified, the equivalent indentation strain of the sample is calculated using the sample thickness, and the Young's sample of the sample is calculated using the equivalent indentation strain. This is a method for calculating the rate.
- the indentation test apparatus includes a sample thickness identification unit for identifying a sample thickness and an equivalent indentation strain calculation unit for calculating an equivalent indentation strain of the sample using the sample thickness. And a Young's modulus calculator that calculates the Young's modulus of the sample using the equivalent indentation strain.
- the Young's modulus measurement method by the ball indenter indentation test will be described.
- a method using Hertz's elastic contact theory will be described.
- Hertz's theory of elastic contact when a sufficiently hard ball indenter is pressed into a semi-infinite sample, the indentation load F and the push amount are calculated using the diameter ⁇ of the ball indenter, the Young's modulus E of the sample, and the Poisson ratio ⁇ .
- the relationship of ⁇ can be expressed by the following equation.
- This first term expresses the contact deformation due to the ball indenter and is given by the following equation from Hertz's elastic contact theory.
- the second term is expressed by the following equation as representing the compressive deformation that occurs between the ball indenter and the rigid body.
- G is a coefficient for making the second derivative of the Young's modulus dimensionless
- H is a coefficient for the sample thickness
- the sample thickness h is determined from the Young's modulus second derivative E hat and the second derivative at the time of contact by the equation (33), and the equivalent indentation strain ⁇ I overline of the equation (28) is also determined. Furthermore, from this and the indentation load F hat, the Young's modulus E of samples having various thicknesses can be obtained by the following equation.
- the Young's modulus obtained from this equation (34) has been confirmed to be independent of thickness from experimental verification on samples of various thicknesses [1]. Furthermore, if applicability to various hardnesses and shapes can be confirmed, it is possible to evaluate samples having complicated deformation characteristics and shapes such as biological soft tissue by this measurement method.
- the applicability evaluation of the measurement method by experiment will be described. First, the ball indenter indentation test will be described. In order to confirm the applicability of the Young's modulus measurement method using the ball indenter indentation test, an experiment is conducted in which the hardness of the sample and the indenter diameter are changed.
- a silicone rubber (a silicone rubber sheet manufactured by Kyowa Kogyo Co., Ltd.), which is commercially available and has stable characteristics and has a wide variety of hardness and can be easily molded, is used as a sample used for evaluation.
- This sheet is prepared in three types of hardness as shown in Table 5. Thicknesses of 1mm and 5mm and a square shape with a side of 100mm are bonded to each other according to their own viscosity to make a sample with multiple thicknesses. . Regarding this sample, it has been confirmed that a discontinuous surface due to delamination or the like does not occur at the bonded interface during and after the test.
- This indentation tester is a 2000 series aluminum table that can be regarded as a rigid body by controlling the load shaft 5 attached to the actuator 1 (NSK, Mechatronic Actuator XY-HRS400-RH202) with a maximum speed of 1.2 m / s with a PC.
- the sample placed above is pushed in by a ball indenter attached to the load shaft.
- the load is acquired from the load cell 2 (Kyowa Denki Co., Ltd., LUR-A100NSA1) attached to the shaft, and the amount of pushing is the amount of movement of the stage 4 of the actuator 1 with the indenter attached.
- RSA0N11S9002 Each resolution is load 6.15 ⁇ 10 ⁇ 3 N and displacement 1.53 ⁇ 10 ⁇ 6 m.
- the indentation test system 16 calculates the Young's modulus from the load value F sent from the load cell 2 of the indentation tester 15 and the indentation amount ⁇ sent from the potentiometer 3.
- the movement of the indentation tester 15 is also controlled by the indentation speed control unit 13.
- the sample thickness is identified from the indentation amount ⁇ sent and the calculated Young's modulus, and the strain considering the effect of the sample thickness based on the identified and calculated sample thickness. Is calculated, and the Young's modulus in consideration of the influence of the sample thickness is calculated. All of the data handled by the CPU unit 9 is recorded in the storage unit 14.
- the experiment is performed under the condition that the indenter diameter is 5 conditions shown in Table 6 and talc powder for reducing friction is applied to the contact surface between the sample and the ball indenter.
- the ball indenter a self-made acrylic ball and a phenol resin ball knob manufactured by Esco Co., Ltd. were used.
- the indentation speed condition is set to 1.0 ⁇ 10 ⁇ 4 m / s, which is the slowest in the equipment specifications.
- the applicability of the measurement method is evaluated by an experiment in which the hardness of the sample and the diameter of the ball indenter are changed for a sample having a thickness of 4 mm or more exceeding the correlation coefficient of 0.95.
- FIG. 21 shows the relationship between the actual sample thickness h and the Young's modulus second derivative E hat and second derivative at the time of contact obtained from the load curve as shown in FIG. ) Is the result obtained using a ball indenter with a diameter ⁇ of 20 mm, and FIG. (B) summarizes the results obtained for a sample with hardness A50. In addition, a straight line obtained by approximating the least squares by the equation (33) is also shown. Looking at this result, when the indenter diameter ⁇ is the same, as the sample hardness increases, the second derivative E-hat and the second derivative become larger. It was confirmed that the second derivative E-hat and the second derivative increased as the value increased.
- FIG. 22 shows the effects appearing in the variables H and G in the approximate straight line equation (33) shown in FIG.
- the Young's modulus E 0 at the time of contact obtained by the equation (31) is shown on the horizontal axis.
- the variable H shows a linear change depending on the diameter ⁇ of the ball indenter
- the variable G increases exponentially as the Young rate E 0 increases.
- Figure 22 (b) which summarizes the differences obtained by changes in the diameter ⁇ of the ball indenter for each hardness
- the variable H again shows a linear change depending on the hardness
- the variable G has a larger diameter ⁇ of the ball indenter. It grew exponentially as it became.
- the variables H and G are both affected by the Young's modulus E 0 at the time of contact and the diameter ⁇ of the ball indenter, but the variable H with a relatively small effect is a constant coefficient, and the variable G is the value at the time of sample contact.
- the coefficient H is called a sample thickness constant and the function G is called a Young's curvature function, which are defined as equations (35) and (36), respectively.
- the Young's modulus measurement method using the equivalent indentation strain by the ball indenter indentation test can be expanded to a method that takes into account the effects of the Young's modulus E of the sample and the diameter ⁇ of the ball indenter by the equation (36).
- the system used for the tensile test of the evaluation sample is almost the same as the indentation tester shown in FIG. 17, but the specification [2] used for soft materials such as biological soft tissue is used.
- the displacement between chucks used for strain calculation is measured by a laser displacement meter (LB-62, manufactured by KEYENCE), and the load is measured by a load cell (manufactured by Kyowa Denki Co., Ltd., micro load cell LST-1KA). This resolution is displacement 6.25 ⁇ 10 ⁇ 6 m and load 3.28 ⁇ 10 ⁇ 3 N. Samples were cut into 1 mm square strips, with a chuck distance of 20 mm and a tensile speed of 1.0 ⁇ 10 ⁇ 4 m / s.
- Fig. 24 shows the Young's modulus measured using the equation (33) considering the Young's modulus of the sample and the indenter diameter together with the Young's modulus obtained by the tensile test.
- the strain dependence of the Young's modulus obtained by this measurement method agrees with the increase / decrease tendency of the tensile results, and the softening phenomenon due to strain can be observed. Furthermore, in the case of hardness A50 shown in Fig. 24 (c), the inflection point at which strain begins to harden from around strain -0.15 is the result of being able to measure in the same way with this measurement method, although from around strain -0.11. ing.
- Samples to be subjected to the indentation test method and indentation test apparatus of the present invention include polyurethane, silicone rubber, polyolefin rubber, natural rubber, polymer materials including soft vinyl, biological tissue including skin and muscle, jelly and gelatin. Foods containing can be used.
- the Young's modulus E of the sample is preferably in the range of 100 Pa to 100 MPa.
- the Young's modulus E of the sample is 100 Pa or more, there is an advantage that the sample does not collapse or break with the pressing. If the Young's modulus E of the sample is 100 MPa or less, there is an advantage that a soft indenter can be used.
- a metal and / or a resin material can be employed as the material of the ball indenter.
- the diameter of the ball indenter is preferably in the range of 1 ⁇ 10 ⁇ 8 to 1 m. If the thickness of the sample is larger than the diameter of the spherical indenter, there is an advantage that a result equivalent to the theoretical solution of Hertz can be obtained. If the thickness of the sample is equal to or less than the diameter of the ball indenter, there is an advantage that the Young's modulus, which was difficult to obtain by Hertz's theory, can be identified.
- the indentation speed of the ball indenter is preferably in the range of 0.00001 to 10 mm / s. If the indentation speed of the ball indenter is 0.00001 m / s or more, there is an advantage that it does not take time for measurement. If the indentation speed of the ball indenter is 10 mm / s or less, there is an advantage that the device can be operated safely.
- the ratio of the indentation amount of the ball indenter to the ball indenter diameter is preferably 1 or less. If the ratio is 1 or less, there is an advantage that it is not necessary to consider the indentation.
- a method for reducing the adhesion at the contact surface between the ball indenter and the sample a method of applying talc powder to the sample contact surface, a method of applying oil, or the like can be employed.
- these treatments can be omitted.
- the spherical indenter was demonstrated as a shape of an indenter, it is not limited to this.
- shapes such as a column, a cylinder, and a cube can be adopted.
- the sample thickness is identified.
- the sample thickness in addition to being able to identify the Young's rate, which was difficult to find with Hertz's theory, the condition of skin, muscles, etc. while satisfying the non-invasiveness required in human medical care What can be measured.
- the sample thickness identification method is not limited to the above-described method.
- a method for identifying the sample thickness a method using ultrasonic waves, X-rays, or MRI can be employed.
- all methods commonly used for measuring the thickness of the sample such as a method of optically measuring the cross section of the sample, can be employed.
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Abstract
Description
また、本発明は、前記の押込試験方法を用いる、新規な押込試験装置を提供することを目的とする。
半無限体試料に対して十分に硬い球圧子を押込むとき、Hertz の弾性接触理論を用いると、図1に示す押込荷重Fと押込量δの関係が以下のように表現される。
これらのことから、式(19)で表される相当押込ひずみεIオーバーラインは接触変形と圧縮変形の両方を表現できる特性があることがわかる。
図8には、表1に示す厚さの試料に対する押込試験から得られた押込量δと荷重Fの関係について、これらをHertzの弾性接触理論に基づく式(1)で最小二乗法により近似した曲線と併せて示している。
まず、式(24)および(25)を用いて球圧子押込係数Eハットの2次導関数Eハット・2次微分係数を求めた結果を図10,11 に示す。試験から得られた押込荷重Fハットと押込量δの関係は式(24)を一例とする関数で近似する。この関数式(24)と式(1)、(2)の関係を用いると式(25)によって球圧子押込係数Eハットが定義できる。この式(25)によって求めたのがYoung率Eである。まず図10は、2 次導関数Eハット・2次微分係数と試料厚さhiの関係であるが、試料厚さhiが小さくなるに従って2 次導関数Eハット・2次微分係数は指数関数的な増加を示した。図10中の破線は、この結果を指数関数;
Hertzの弾性接触理論においては、半無限体試料に対して十分に硬い球圧子を押込むとき、球圧子の直径φと試料のYoung率E、Poisson比νを用いて、押込荷重Fと押込量δの関係を次式で表現できる。
球圧子押込試験によるYoung率計測法の適用性を確認するため、試料の硬さと圧子径を変えた実験を行う。
なお、圧子の形状としては球圧子について説明したが、これに限定されるものではない。このほか圧子の形状としては、円柱、円筒、および立方体などの形状を採用することができる。
[1] M. Tani and A. Sakuma, M. Shinomiya, Evaluation of Thickness and Young's Modulus of Soft Materials by using Spherical Indentation Testing, Transactions of the Japan Society of Mechanical Engineers, Series A, Vol.75, No.755, (2009),pp.901-908.(in Japanese)
[2] M. Ogasawara, A. Sakuma, T. Tadomi, E. Yanagisawa and M. Tani, Valuation Technique of Nonlinear Parameters in Three-Element Solid Model and Its Application to Biological Soft Tissue, Transactions of the Japan Society of Mechanical Engineers, Series A, Vol.75, No.750, (2009), pp.251-258. (in Japanese)
Claims (10)
- 試料に圧子を押込む、押込試験方法において、
試料厚さを用いて、試料の相当押込ひずみを算出し、
前記相当押込ひずみを用いて、試料のヤング率を算出する
ことを特徴とする押込試験方法。 - 試料厚さを同定する
ことを特徴とする請求項1記載の押込試験方法。 - 圧子は、球圧子である
ことを特徴とする請求項1記載の押込試験方法。 - 球圧子の直径は1×10-8 ~1 mの範囲内にある
ことを特徴とする請求項3記載の押込試験方法。 - 試料厚さの同定は、球圧子の直径、接触時のヤング率とヤング率2次導関数を用いて算出することを特徴とする請求項2記載の押込試験方法。
- 試料に圧子を押込む、押込試験装置において、
試料厚さを用いて、試料の相当押込ひずみを算出する相当押込ひずみ算出部と、
前記相当押込ひずみを用いて、試料のヤング率を算出するヤング率算出部を有する
ことを特徴とする押込試験装置。 - 試料厚さを同定する試料厚さ同定部を有する
ことを特徴とする請求項6記載の押込試験装置。 - 圧子は、球圧子である
ことを特徴とする請求項6記載の押込試験装置。 - 球圧子の直径は1×10-8 ~1 mの範囲内にある
ことを特徴とする請求項8記載の押込試験装置。 - 試料厚さの同定は、球圧子の直径、接触時のヤング率と接触時のヤング率2次導関数を用いて算出する
ことを特徴とする請求項7記載の押込試験装置。
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US13/138,235 US9297730B2 (en) | 2009-01-20 | 2010-01-18 | Indentation test method and indentation test apparatus |
CN2010800129402A CN102362166B (zh) | 2009-01-20 | 2010-01-18 | 压痕试验方法和压痕试验装置 |
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JP2013088212A (ja) * | 2011-10-16 | 2013-05-13 | Tokyo Univ Of Agriculture & Technology | 押込試験方法および押込試験装置 |
JP2013160662A (ja) * | 2012-02-07 | 2013-08-19 | Tokyo Univ Of Agriculture & Technology | 押込試験方法および押込試験装置 |
EP2687151A1 (en) | 2012-07-20 | 2014-01-22 | Tanita Corporation | Viscoelasticity measuring apparatus |
JP2014029277A (ja) * | 2012-07-31 | 2014-02-13 | Tokyo Univ Of Agriculture & Technology | 押込試験方法および押込試験装置 |
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JP2017129557A (ja) * | 2016-01-19 | 2017-07-27 | 国立大学法人京都工芸繊維大学 | 押込試験装置および押込試験方法 |
US11275007B1 (en) | 2021-01-28 | 2022-03-15 | The Florida International University Board Of Trustees | Systems and methods for testing mechanical properties of ultra-soft materials |
CN114279835A (zh) * | 2021-03-12 | 2022-04-05 | 江南大学 | 一种基于等效厚度体积模量对人舌进行变形表征的方法 |
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JP2013160662A (ja) * | 2012-02-07 | 2013-08-19 | Tokyo Univ Of Agriculture & Technology | 押込試験方法および押込試験装置 |
EP2687151A1 (en) | 2012-07-20 | 2014-01-22 | Tanita Corporation | Viscoelasticity measuring apparatus |
JP2014029277A (ja) * | 2012-07-31 | 2014-02-13 | Tokyo Univ Of Agriculture & Technology | 押込試験方法および押込試験装置 |
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US11275007B1 (en) | 2021-01-28 | 2022-03-15 | The Florida International University Board Of Trustees | Systems and methods for testing mechanical properties of ultra-soft materials |
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