Abstract
The effective deformation properties and the stress–strain state of a material are determined on the basis of the stochastic equations of elastic theory, which allow for the random nature of microdamages. The problem on the stress-strain state of a porous transversally isotropic material under uniform loading with specified strains is solved using the model proposed. To this end, a numerical–analytical algorithm is proposed. This algorithm is based on the stochastic method of conditional moment functions and the combined iteration method, which is used to solve a transcendental equation. Using this approach, as an example, a nonlinear macrodeformation diagram is plotted and the behavior of a transversally isotropic porous material under biaxial tension is studied
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