Mathematical modeling the rigid-plastic yielding behavior of fibrous flatly-reinforced composites of anisotropic materials at 2D stress state

Abstract

Structural model of multi-directed flatly-reinforced hybrid composites allowing one to determine the yield loci for the composition with account plane stress state in all components is developed. The fiber and matrix materials are homogeneous and anisotropic. Their mechanical behavior is described by associated flow law for rigid-perfectly plastic body with quadratic Mises – Hill yield criterion. As examples, two variants of symmetrical reinforcement for compositions consisting of orthotropic materials are considered under condition of equal reinforcement consumption. The influence of anisotropy characteristics of components and reinforcement parameters on shape and dimensions of the yield loci of the compositions is investigated.

Keywords:

• Structural model of composite
• fibrous reinforcement
• multi-directed reinforcement
• hybrid composites
• rigid-perfectly plastic material
• anisotropic material
• 2D stress state
• Hill’s yield criterion

Additional information

Funding

This work was supported by Ministry of Science and Higher Education of the Russian Federation under Project No. 121030900260-6.