A theoretical and experimental assessment of 3D macroscopic failure criteria for predicting pure inter-fiber fracture of transversely isotropic UD composites

2021 ◽  
Vol 259 ◽  
pp. 113466
Author(s):  
Jiefei Gu ◽  
Puhui Chen ◽  
Lei Su ◽  
Ke Li
Keyword(s):  
Transversely Isotropic ◽  
Failure Criteria ◽  
Fiber Fracture ◽  
Experimental Assessment ◽  
Macroscopic Failure

Physicomechanical approaches to an analysis of macroscopic failure criteria. Report 3. Brittle failure

1989 ◽  
Vol 21 (7) ◽  
pp. 841-852 ◽  
Author(s):  
G. P. Karzov ◽  
B. Z. Margolin ◽  
V. A. Shvetsova
Keyword(s):  
Brittle Failure ◽  
Failure Criteria ◽  
Macroscopic Failure

Failure Criteria for Unidirectional Fiber Composites

1980 ◽  
Vol 47 (2) ◽  
pp. 329-334 ◽  
Author(s):  
Z. Hashin
Keyword(s):  
Stress State ◽  
Failure Modes ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
Failure Surface ◽  
Failure Criteria ◽  
Fiber Composites ◽  
Piecewise Smooth ◽  
Average Stress ◽  
Unidirectional Fiber

Three-dimensional failure criteria of unidirectional fiber composites are established in terms of quadratic stress polynomials which are expressed in terms of the transversely isotropic invariants of the applied average stress state. Four distinct failure modes—tensile and compressive fiber and matrix modes—are modeled separately, resulting in a piecewise smooth failure surface.

Fatigue Failure Criteria for Unidirectional Fiber Composites

1981 ◽  
Vol 48 (4) ◽  
pp. 846-852 ◽  
Author(s):  
Z. Hashin
Keyword(s):  
Fatigue Failure ◽  
Failure Modes ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
Failure Criteria ◽  
Fiber Composites ◽  
Cyclic Stress ◽  
Unidirectional Fiber ◽  
Single Stress ◽  
Material Information

Three-dimensional fatigue failure criteria for unidirectional fiber composites under states of cyclic stress are established in terms of quadratic stress polynomials which are expressed in terms of the transversely isotropic invariants of the cyclic stress. Two distinct fatigue failure modes, fiber mode, and matrix mode, are modeled separately. Material information needed for the failure criteria are the S-N curves for single stress components. A preliminary approach to incorporate scatter into the failure criteria is presented.

Experimental Study On The Effect Of Micro-Cracks On Brazilian Tensile Strength

2015 ◽  
Vol 60 (4) ◽  
pp. 985-996 ◽  
Author(s):  
Xiangyu Wang
Keyword(s):  
Tensile Strength ◽  
Failure Mode ◽  
Coal Mine ◽  
Transversely Isotropic ◽  
Failure Criteria ◽  
Ground Control ◽  
Brazilian Tensile Strength ◽  
Splitting Strength ◽  
Water Saturated ◽  
Brazilian Splitting

Abstract For coal mine ground control issues, it is necessary to propose a failure criteria accounting for the transversely isotropic behaviors of rocks. Hence, it is very helpful to provide experimental data for the validation of the failure criteria. In this paper, the method for preparing transversely isotropic specimens and the scheme of the Brazilian tensile strength test are presented. Results obtained from Brazilian split tests under dry and water-saturated conditions reflect the effect of the development direction β of the structural plane, such as the bedding fissure, on the tensile strength, ultimate displacement, failure mode, and the whole splitting process. The results show that the tensile strength decreases linearly with increasing β. The softening coefficient of the tensile strength shows a sinusoidal function. The values of the slope and inflection point for the curve vary at the different stages of the Brazilian test. The failure mode of the rock specimen presented in this paper generally coincides with the standard Brazilian splitting failure mode. Based on the test results, the major influencing factors for the Brazilian splitting strength are analyzed and a mathematical model for solving the Brazilian splitting strength is proposed. The findings in this paper would greatly benefit the coal mine ground control studies when the surrounding rocks of interest show severe transversely isotropic behaviors.

The Numbers of Elastic Properties and Failure Parameters for Fiber Composites

1998 ◽  
Vol 120 (2) ◽  
pp. 110-113 ◽  
Author(s):  
R. M. Christensen
Keyword(s):  
Elastic Property ◽  
Elastic Properties ◽  
Transversely Isotropic ◽  
Failure Criteria ◽  
Fiber Composites ◽  
Polymeric Matrix ◽  
Matrix Composites ◽  
Degree Of Anisotropy ◽  
High Degree ◽  
Polymeric Matrix Composites

It is shown that there is a coordination between the numbers of the elastic properties and the numbers of the failure criteria parameters for aligned fiber composites under certain realistic conditions. These conditions require a high degree of anisotropy appropriate to polymeric matrix composites such that failure decomposes into separate fiber dominated and matrix dominated modes. Failure criteria are given in both five parameter and four parameter forms. The five parameter failure form coordinates with the usual five elastic property form for transversely isotropic composites. The four parameter failure form coordinates with a reduced four elastic property form which is shown to be applicable as an approximation for the same typical fiber composites.

A Modified Drucker-Prager Criterion for Transversely Isotropic Geomaterials and its Numerical Implementation

2013 ◽  
Vol 850-851 ◽  
pp. 115-119
Author(s):  
Wei Yu Wu ◽  
Guo Hua Liu
Keyword(s):  
Strain Localization ◽  
Yield Criterion ◽  
Transversely Isotropic ◽  
Friction Angle ◽  
Failure Criteria ◽  
Inherent Anisotropy ◽  
Mapping Algorithm ◽  
Finite Element Software ◽  
Return Mapping ◽  
Return Mapping Algorithm

A failure criteria basing on Drucker-Prager yield criterion for geomaterials is modified in terms of the inherent anisotropy of the friction angle and the dilation angle. To implement the model in a numerical way, the corresponding consistent return mapping algorithm is formulated and by dividing the scalar product of the stress rate and the strain rate into the deviatoric and spherical parts, the consistent elastoplastic tangent modulus matrix is obtained. Then, the codes are introduced into finite element software ABAQUS via the UMAT. An example has been presented illustrating influence of the anisotropic degree on the bearing capacity and the pattern of strain localization.

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