RU2576542C2 - E. n. khrustalev(s method of producing uniform contact stress at interaction of material media - Google Patents

Abstract

FIELD: physics.

SUBSTANCE: invention relates to the possibility of achieving uniform stress-strain state in the zone of contact of two material media. Substance of invention consists in that is the contact surface of more strong material medium convex hemispherical shape with radii interaction $$R_{wed.sf}=\mathrm{0,5}\sqrt{b^2+l^2}/\sin {\phi }_{cl}^{о}$$

- for a rectangular area of contact, $$R_{wed.sf}=\mathrm{0,5}d/\sin {\phi }_{cl}^{о}$$

- for round contact area, $$R_n=\mathrm{0,5}b/\sin {\phi }_{cl}^{о}$$

- for semi-cylindrical shape contact width b, where $${\phi }_{cl}^{о}$$

- internal friction angle medium with a deformed or intact, weaker strength.

EFFECT: enabling determination of geometrical parameters of contacting material media with uniform distribution of stresses between them.

1 cl, 3 dwg

Description

The way Khrustaleva E.N. obtaining uniform contact stress during the interaction of material media.

The invention relates to the field of “Physics of Material Contact Interaction” and relates to the possibility of achieving a uniform stress-strain state in the contact zone of material media characterized by physical parameters - angle φ ^{0 of} internal friction and specific adhesion with (kg / cm ² ).

внутреннего трения и удельным сцеплением с_Г (кГ/см²) с абсолютно гибким или абсолютно жестким сферическим штампом, при этом угол сектора полуконтакта сферического гибкого или жесткого штампа с грунтовым основанием в фазе максимальной упругости грунтового основания составляет величину

,A known method of obtaining uniform contact stress in the zone of interaction of two material media - a weak soil base with physical parameters - angle

internal friction and specific adhesion with _Г (kg / cm ² ) with an absolutely flexible or absolutely rigid spherical stamp, while the angle of the sector of the half-contact of a spherical flexible or rigid stamp with a soil base in the phase of maximum elasticity of the soil base is

,

and with a peat deposit -

,

,

- краевая критическая нагрузка для торфяной залежи,

- давление потери структурной прочности среды при растяжении,Where

- edge critical load for peat deposits,

- pressure loss of structural strength of the medium in tension,

- критическое давление для среды под центром штампа [1, 2].

- critical pressure for the medium under the center of the stamp [1, 2].

максимального полуконтакта материальных сред по радиусу R сферы или цилиндра практически оказываются заниженными для структурированных грунтов с углом внутреннего трения

в 3,0…8 раз и для структурированных торфяных залежей с

- соответствующими углу

внутреннего трения торфа или заниженным в 3 раза.Design Angles

the maximum semi-contact of material media along the radius R of a sphere or cylinder is practically underestimated for structured soils with an angle of internal friction

3.0 ... 8 times for structured peat deposits with

- corresponding to the corner

internal friction of peat or underestimated by 3 times.

[2].It has been established to date that only in the limiting phase stress-strain state of a material medium when it is destroyed, the half-contact angle of two media should correspond to the angle of internal friction of the weakest medium in strength

[2].

и удельным сцеплением с_сл (кГ/см²), достигается тем, что полный контакт двух сред производят по полусферической или полуцилиндрической поверхности, выпуклой со стороны более слабой среды под углом, равным удвоенному углу (2φ⁰) внутреннего трения более слабой по прочности среды, с радиусами взаимодействия двух контактирующих полусферических поверхностей

- прямоугольных в плане со сторонами (b×l),

- круглых в плане с диаметром d и полуцилиндрических поверхностей

- прямоугольных в плане и шириной b, где угол внутреннего трения

для структурированной среды и

- для среды с нарушенной структурой.The technical result according to the method of obtaining uniform contact stress during the interaction of material media, which consists in determining and comparing the elastic strength parameters of the contacting media - angles φ ^{0 of} internal friction and specific adhesion with (kg / cm ² ), consider the deformable weakest material medium with angle of internal friction

and specific adhesion to _sl (kg / cm ² ), it is achieved by the fact that two media are in full contact on a hemispherical or semi-cylindrical surface, convex from the side of a weaker medium at an angle equal to twice the angle (2φ ⁰ ) of internal friction, which is weaker in strength of the medium , with the radii of interaction of two contacting hemispherical surfaces

- rectangular in plan with sides (b × l),

- round in plan with diameter d and semi-cylindrical surfaces

- rectangular in plan and width b, where the angle of internal friction

for a structured environment and

- for an environment with a disturbed structure.

ее внутреннего трения, что повышает несущую способность и устойчивость сооружений на грунтовых основаниях, износоустойчивость и надежность работы контактирующих деталей машин.The proposed method for the first time allows you to determine the geometric parameters of the contacting material media with a uniform distribution of stress between them through the physical parameter of the weakest in strength and the most deformable material medium - the angle

its internal friction, which increases the bearing capacity and stability of structures on soil bases, wear resistance and reliability of the contacting machine parts.

The invention is illustrated by graphic materials, where in FIG. 1 - a general view of the foundation plate buildings in an open trench with a convex contact surface for the sphere radius R _sph or radius cylindrical surface of a rectangular foundation length (1) and width (b) with the uniform contact stress σ Diagrams _to - const; in FIG. 2 is a view A of FIG. 1 foundation plate with a cylindrical surface; in FIG. 3 is a view A of FIG. 1 foundation plate with a spherical surface.

и удельным сцеплением с_стр=0,2 (кГ/см²). Вес нагруженной плиты 250 т, габариты плиты b×l=6 м × 8 м, площадь плиты F=48 м². Плита укладывается на дне котлована 2 глубиной Н=2 м. Определим форму и параметры поверхности плиты с равномерно распределенным контактным давлением σ_к - const по ее площади.An example implementation of the method. A monolithic foundation slab 1 (Fig. 1) with a rectangular building (b × l) (see) (Fig. 2) is designed on a soil base, folded with loam with a specific gravity of γ _p = 0.0022 (kg / cm ³ ), with angle of internal friction

and specific adhesion with _p = 0.2 (kg / cm ² ). The weight of the loaded plate is 250 tons, the dimensions of the plate are b × l = 6 m × 8 m, and the area of the plate is F = 48 m ² . The plate is laid at the bottom of the pit 2 with a depth of H = 2 m. We determine the shape and parameters of the surface of the plate with a uniformly distributed contact pressure σ _k - const over its area.

с ненарушенной структурой. Рабочее давление под плитой p_p=Р/F=250000/480000=0,52 (кГ/см²), что свидетельствует о том, что суглинок под плитой находится в нарушенном состоянии. Угол внутреннего трения суглинка в нарушенном состоянии

The elastic state of the loam under the plate is provided at a contact pressure p≤p _b , where gravitational (household) pressure in the soil

with undisturbed structure. The working pressure under the plate p _p = P / F = 250000/480000 = 0.52 (kg / cm ² ), which indicates that the loam under the plate is in an impaired state. Loam loam internal friction angle

Thus, to create a uniform contact stress between the loam and the loaded base plate, it is necessary to make a rectangular contact area of the plate with the soil convex hemispherical with a radius of the sphere

(фиг. 3) или выпуклой полуцилиндрической (фиг. 2) с радиусом полуцилиндрической воронки сжатия вдоль длинной стороны

.

(Fig. 3) or convex semicylindrical (Fig. 2) with the radius of the semicylindrical compression funnel along the long side

.

Information sources

1. Khrustalev E.N. Contact interaction in geomechanics. Part II: Stresses and deformations of the foundations of structures: Monograph. - Tver: “Scientific Book”, 2007. - P. 71 (Fig. 2.7), 72 (Fig. 2.8), 76 (Fig. 2.9), 78 (Fig. 2.12), 80 (Table 2.3), with 200- 203.

2. RF patent No. 2343448. The method of determining the bearing capacity and sediment of the soil base and peat deposits / Khrustalev E.N. B.I. No. 1 dated 01/10/2009 - Table 1.

Claims (1)

A method of obtaining uniform contact stress during the interaction of material media, which consists in determining and comparing the elastic strength parameters of contacting media - angles φ ^{0 of} internal friction and specific adhesion with (kg / cm ² ), consider the deformable weakest material with an angle of internal friction

and specific adhesion to the _slab (kgf / cm ^2), characterized in that the complete contact of the two media is carried over the hemispherical or semi-cylindrical surface convex toward weaker medium at an angle equal to twice the angle (2 φ ⁰⁾ of the inner friction weaker strength media with radii of interaction of two contacting hemispherical surfaces

- rectangular in plan with sides (b × l),

- round in plan with diameter d and semi-cylindrical surfaces

- rectangular in plan and width b, where the angle of internal friction

for a structured environment and

- for an environment with a disturbed structure.

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