Investigation of the elastoplastic deformation and the fracture criterion of a transversally isotropic material subject to uniaxial compression in a direction parallel to the isotropy plane

2000 ◽  
Vol 36 (3) ◽  
pp. 343-347
Author(s):  
R. G. Terekhov ◽  
N. N. Tormakhov ◽  
Yu. N. Shevchenko
Keyword(s):  
Uniaxial Compression ◽  
Isotropic Material ◽  
Elastoplastic Deformation ◽  
Fracture Criterion ◽  
Direction Parallel ◽  
Isotropy Plane ◽  
Transversally Isotropic

Thin elastic inclusions in a transversally isotropic material

1992 ◽  
Vol 27 (2) ◽  
pp. 174-178
Author(s):  
M. M. Stadnik ◽  
V. P. Silovanyuk ◽  
M. O. Sen'
Keyword(s):  
Isotropic Material ◽  
Transversally Isotropic ◽  
Elastic Inclusions

Shear Failure of Anistropic Rocks

1960 ◽  
Vol 97 (1) ◽  
pp. 65-72 ◽  
Author(s):  
J. C. Jaeger
Keyword(s):  
Shear Strength ◽  
Internal Friction ◽  
Uniaxial Compression ◽  
Isotropic Material ◽  
Reasonable Agreement ◽  
Shear Failure ◽  
Layered Material ◽  
Two Dimensional ◽  
Dimensional Theory ◽  
Single Plane

AbstractThe two-dimensional theory of two simple generalizations of the Coulomb-Navier criterion for shear failure is developed. The first of these refers to a material with a single plane of weakness which has a different shear strength and coefficient of internal friction from the remainder of the material. In this case it is shown that failure may take place, according to circumstances, either in the plane of weakness or in planes cutting across it. The second criterion refers to a layered material whose shear strength varies continuously from a maximum in one direction to a minimum in the perpendicular direction. In this case it appears that, instead of the two directions of failure possible for an isotropic material, there is only one possible plane of failure which lies between the plane of minimum shear strength and the nearest to it of the two Coulomb-Navier planes. Numerical results are given for the case of uniaxial compression and experimental results are shown to be in reasonable agreement with them.

Bifurcation in Elastic-Plastic Plates

1978 ◽  
Vol 5 (2) ◽  
pp. 79-88
Author(s):  
R.N. Dubey
Keyword(s):  
Plastic Deformation ◽  
Uniaxial Compression ◽  
Plastic Flow ◽  
Isotropic Material ◽  
Flow Rule ◽  
Material Behaviour ◽  
Incremental Theory ◽  
Elastic Plastic ◽  
Conventional Analysis ◽  
Plastic Flow Rule

It is shown that the isotropic material behaviour assumed in the classical incremental theory has two distinct implications, one for elastic deformation and another one for plastic deformation. This inconsistency has been removed by modifying the plastic-flow rule. The modified constitutive relation is used to calculate bifurcation stress in elastic-plastic plates under uniaxial compression. The bifurcation model used in the analysis is a generalized version of Shanley’s model – here restriction is placed on the amplitude of perturbation as opposed to restriction on the increase or rate of traction imposed in conventional analysis. The bifurcation stress thus obtained is significantly lower than the corresponding stress obtained from the classical incremental theory.

Effective Characteristics of the Multi-Modular Composites under Transverse Stretching

2019 ◽  
Vol 968 ◽  
pp. 511-518 ◽  
Author(s):  
S. Grebenyuk ◽  
M. Klymenko ◽  
Tatiana Smoliankova ◽  
R. Koval
Keyword(s):  
Isotropic Material ◽  
Volume Fraction ◽  
Matrix Material ◽  
Fiber Material ◽  
Cell Deformation ◽  
Effective Characteristics ◽  
Transverse Compression ◽  
Calculated Ratio ◽  
Transversally Isotropic ◽  
Elastic Characteristics

In this article is determined the ratio between effective elastic characteristics of the fibrous transversally isotropic material. Fibrous uniaxial material, which consists of the isotropic elastic matrix and fiber, is in the focus of attention. It is assumed that mechanical properties of components under stretching and compression are different, notably matrix material and fiber material are multi-modular. Transverse stretching and transverse compression of composite cell are considered. Two problems for each type of strain are solved. In the first problem stresses and displacements of matrix and fiber under conditions of their common axisymmetrical deformation are determined. Subsequently similar characteristics for the cell deformation of the homogeneous transversally isotropic material as a composite are determined. Ratio between effective composite’s characteristics is solved from the conditions of equality of the axial displacements of the composite’s cell and radial displacements on its surface. The relation of the calculated ratio from volume fraction of fiber in a composite is analyzed.

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