Application of Inherent Stress Theory to Analysis of Non-Linear Deformation of Materials with Multimodulus Behaviour

A model of non-linear deformation of materials is suggested. The model is based on the decomposition of generalized stiffness on the stiffness defining connections between different deformation directions, and self-stiffness. New condition of plastic flow beginning is obtained for materials with different yield points under tension and compression loads. This condition defines in the space of principal stresses an ellipsoid of rotation with rotational center shifted from the beginning of coordinates. The suggested model allows to describe nonlinear behavior of materials working in elastic domain as conventional materials but having different yield stresses and deformation diagrams in non-elastic domain under tensile and compressing loads.

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