CN113343465A - Method for calculating stress-strain data of EPS foam sample piece at high compression rate - Google Patents

Method for calculating stress-strain data of EPS foam sample piece at high compression rate Download PDF

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CN113343465A
CN113343465A CN202110641931.XA CN202110641931A CN113343465A CN 113343465 A CN113343465 A CN 113343465A CN 202110641931 A CN202110641931 A CN 202110641931A CN 113343465 A CN113343465 A CN 113343465A
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compression rate
eps foam
foam sample
stress
calculating
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CN113343465B (en
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李磊鑫
李越峰
董维
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Sichuan Changhong Air Conditioner Co Ltd
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Abstract

The invention relates to the field of EPS foam stress-strain testing, in particular to a method for calculating stress-strain data of an EPS foam sample piece at a high compression rate, which realizes the rapid calculation of the stress-strain data of the EPS foam sample piece at the high compression rate, greatly reduces the calculation time and improves the calculation efficiency. The technical scheme is summarized as that a compressed surface of an EPS foam sample piece is selected, and the area S of the compressed surface is calculated; then setting the compression rate to v1Then calculating the compression rate v according to the height h of the EPS foam sample piece1A corresponding strain rate; calculating the compression rate v1Corresponding stress data and strain data; adjusting compression rate to v2，v2Greater than v1Calculating a compression rate v2A corresponding strain rate; according to compression rate v1Corresponding strain rate, stress data, strain data and compression rate v2Corresponding strain rate calculation v2Corresponding stress, strain data. The method is suitable for testing and calculating the stress-strain data of the EPS foam sample.

Description

Method for calculating stress-strain data of EPS foam sample piece at high compression rate
Technical Field
The invention relates to the field of EPS foam stress-strain testing, in particular to a method for calculating stress-strain data of an EPS foam sample piece at a high compression rate.
Background
For household appliances, in order to ensure the reliability of the products from the factory to the home of the user, tests for simulating loading, unloading and transportation are required, so that the reliability of the products is ensured. Among them, drop test for simulating loading and unloading is the most problematic link, and drop simulation has been widely adopted as an important means for evaluating the impact strength of a product at the conceptual design stage. The drop height is determined by the specific weight of the product, which means that at different drop heights the drop rate of the product is different and the strain rate of the product packaging is also different, especially EPS foam (i.e. polystyrene foam). Stress-strain data of EPS foam under different strain rates are of great importance for impact strength simulation.
At present, the stress strain data of EPS foam under different strain rates can be determined by using high-speed compression equipment, but the high-speed compression equipment is expensive, needs to be retested again under different drop heights, is high in test repeatability and large in test data quantity, data needs to be converted into simulation demand parameters, and the high-speed compression equipment is large in workload and very time-consuming.
Disclosure of Invention
The invention aims to provide a method for calculating stress-strain data of an EPS foam sample piece at a high compression rate, which realizes the rapid calculation of the stress-strain data of the EPS foam sample piece at the high compression rate, greatly reduces the calculation time and improves the calculation efficiency.
The invention adopts the following technical scheme to realize the purpose, and the method for calculating the stress-strain data of the EPS foam sample piece under the high compression rate comprises the following steps:
step 1, selecting a compressed surface of an EPS foam sample piece, and calculating the area S of the compressed surface;
step 2, setting the compression rate as v1Then calculating the compression rate v according to the height h of the EPS foam sample piece1Corresponding strain rate ε1'，ε1'＝v1H is the height of the EPS foam sample piece before being compressed;
step 3, calculating the compression rate v1Corresponding stress data σ1，
Figure BDA0003108252550000011
F is the stress of the compressed surface;
step 4, calculating the compression rate v1Corresponding strain data ε1，
Figure BDA0003108252550000012
h' is the height of the EPS foam sample after being compressed;
step 5, adjusting the compression rate to be v2，v2＞v1Then calculating the compression rate v according to the height h of the EPS foam sample piece2Corresponding strain rate ε2'，ε2'＝v2/h；
Step 6, calculating the compression rate v2Corresponding stress data σ2，
Figure BDA0003108252550000021
Wherein A (ε)1)＝m-n*lnε1M and n are fitting coefficients;
step 7, calculating the compression rate v2Corresponding strain data ε2，ε2＝ε1。
Furthermore, in step 1, the EPS foam sample is in a cuboid shape, the length of the cuboid EPS foam sample is a, the width b, and the height of the cuboid EPS foam sample is c, and a is not less than b is not less than c, so that the area S of the compressed surface is a b. In step 2, h ═ c.
Further, in step 1, the EPS foam sample is cylindrical, the radius of the bottom surface of the cylindrical EPS foam sample is r, the height of the cylindrical EPS foam sample is h, and r is not less than c, so that the area S of the compressed surface is pi r2。
Further, in step 6, m is in the range of [0.05,0.1], and n is in the range of [0.05,0.1 ].
According to the invention, the stress-strain data under the high compression rate is obtained by calculating the stress-strain data of the EPS foam under the low compression rate, wherein the stress-strain data under the low compression rate can be obtained by testing through common compression equipment, so that the stress-strain data under the high compression rate is avoided being calculated through high-speed compression equipment, and the equipment purchase cost is reduced; and the stress-strain data under the high compression rate is calculated according to the stress-strain data under the low compression rate, so that the experimental test times and the workload of data processing are reduced, the calculation time is greatly reduced, and the efficiency is improved.
Drawings
FIG. 1 is a flow chart of the method of the present invention.
FIG. 2 is a graph comparing calculated and derived stress-strain data with measured stress-strain data according to the present invention.
Detailed Description
The invention discloses a method for calculating stress-strain data of an EPS foam sample under a high compression rate, wherein the method comprises the following steps of:
101, selecting a compressed surface of an EPS foam sample piece, and calculating the area S of the compressed surface;
step 102, setting compression rate v1Then calculating the compression rate v according to the height h of the EPS foam sample piece1A corresponding strain rate;
step 103, calculating the compression rate v1Corresponding stress data and strain data;
step 104, adjusting the compression rate to v2，v2Greater than v1Calculating a compression rate v2A corresponding strain rate;
step 105, according to the compression rate v1Corresponding strain rate, stress data, strain data and compression rate v2Corresponding strain rate calculation v2Corresponding stress, strain data.
In step 101, the EPS foam sample is in a cuboid shape, the length, width, b, and height of the cuboid EPS foam sample are set as a, b, and c, where a is greater than or equal to b and greater than or equal to c, and then the area S of the compressed surface is a b.
In step 102, h ═ c.
In step 101, the EPS foam sample is cylindrical, the radius of the bottom surface of the cylindrical EPS foam sample is set to be r, the height is h, r is larger than or equal to c, and the area S of the compressed surface is pi r2。
In step 102, the compression rate v1Corresponding strain rate ε1'，ε1'＝v1And h is the height of the EPS foam sample piece before being compressed.
In step 103, the compression rate v1Corresponding stress data is σ1，
Figure BDA0003108252550000031
F is the stress of the compressed surface; compression rate v1Corresponding strain data as ε1，
Figure BDA0003108252550000032
h' is the height of the EPS foam sample after compression.
In step 104, the compression rate v2Corresponding strain rate ε2'，ε2'＝v2/h。
In step 105, the compression rate v2Corresponding stress data σ2，
Figure BDA0003108252550000033
Wherein A (ε)1)＝m-n*lnε1M and n are fitting coefficients, and the value range of m is [0.05,0.1]]And n has a value range of [0.05,0.1]](ii) a Compression rate v2Corresponding strain data ε2，ε2＝ε1。
Example (b): the length, width and height of an EPS foam test sample piece are 50mm, and the strain rate is epsilon1'＝0.001s-1Calculating the compression rate v1Is 3 mm/min. Compression test results in strain rate ε1'＝0.001s-1The compression rate v is calculated according to the formula of step 1031Stress at σ1And strain epsilon1And (4) data.
The compression rate v is then calculated according to the formula of step 1052In this embodiment, m is 0.1, n is 0.05:
compression rate v2Corresponding strain data σ2，
Figure BDA0003108252550000034
A(ε1)＝0.1-0.05*lnε1；
Compression rate v2Corresponding stress data ε2，ε2＝ε1。
The comparison curve of the stress-strain data obtained by calculation and derivation and the actually measured stress-strain data is shown in fig. 2.
According to the invention, the stress-strain data of the EPS foam under different strain rates are not tested by using high-speed compression equipment, but the stress-strain data under high compression rate is calculated by using the stress-strain data of the EPS foam under low compression rate, so that the purchase and maintenance cost of expensive high-speed compression equipment is reduced; and the stress-strain data under the high compression rate is calculated according to the stress-strain data under the low compression rate, so that the experimental test times and the workload of data processing are reduced, the calculation time is greatly reduced, and the efficiency is improved.
In conclusion, the rapid calculation of the stress-strain data of the EPS foam sample piece at the high compression rate is realized, the calculation time is greatly reduced, and the calculation efficiency is improved.

Claims (5)

  1. The method for calculating the stress-strain data of the EPS foam sample piece at the high compression rate is characterized by comprising the following steps of:
    step 1, selecting a compressed surface of an EPS foam sample piece, and calculating the area S of the compressed surface;
    step 2, setting the compression rate as v1Then calculating the compression rate v according to the height h of the EPS foam sample piece1Corresponding strain rate ε1'，ε1'＝v1H is the height of the EPS foam sample piece before being compressed;
    step 3, calculating the compression rate v1Corresponding stress data σ1，
    Figure FDA0003108252540000011
    F is the stress of the compressed surface;
    step 4, calculating the compression rate v1Corresponding strain data ε1，
    Figure FDA0003108252540000012
    h' is the height of the EPS foam sample after being compressed;
    step 5, adjusting the compression rate to be v2，v2＞v1Then calculating the compression rate v according to the height h of the EPS foam sample piece2Corresponding strain rate ε2'，ε2'＝v2/h；
    Step 6, calculating the compression rate v2Corresponding stress data σ2，
    Figure FDA0003108252540000013
    Wherein A (ε)1)＝m-n*lnε1M and n are fitting coefficients;
    step 7, calculating the compression rate v2Corresponding strain data ε2，ε2＝ε1。
  2. 2. The method for calculating the stress-strain data of the EPS foam sample under the high compression rate according to claim 1, wherein in the step 1, the EPS foam sample is in a cuboid shape, the length of the cuboid EPS foam sample is a, the width of the cuboid foam sample is b, the height of the cuboid foam sample is c, and a is more than or equal to b is more than or equal to c, so that the area S of a compressed surface is more than or equal to a.
  3. 3. The method for calculating stress-strain data of an EPS foam sample at a high compression rate as recited in claim 2, wherein in step 2, h ═ c.
  4. 4. The method for calculating the stress-strain data of the EPS foam sample under the high compression rate as claimed in claim 1, wherein in the step 1, the EPS foam sample is in a cylindrical shape, the radius of the bottom surface of the cylindrical EPS foam sample is r, the height of the bottom surface of the cylindrical EPS foam sample is h, r is more than or equal to c, and the area S of the compressed surface is pi r2。
  5. 5. The method for calculating the stress-strain data of the EPS foam sample under the high compression rate according to claim 1, wherein in step 6, m is in the range of [0.05,0.1] and n is in the range of [0.05,0.1 ].
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