Affiliation:
1. Department of Mechanical and Aerospace Engineering, The State University of New York at Buffalo, Buffalo, NY 14260, USA
2. Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, DC 20052, USA
Abstract
In this work, the kinematics and basic laws of micromorphic theory are briefly introduced. Then, constitutive equations for micromorphic thermo-visco-elastoplastic solids are rigorously derived. Finite element equations for the displacement, micromotion and temperature fields are formulated based on the principle of virtual work. As examples, three-dimensional, dynamic, finite strain, mixed mode fracture mechanics problems have been solved by a general purpose in-house developed code. Numerical results, including temperature, [Formula: see text] norms of stresses, plastic strains and micromotions, are presented and the physical meanings are discussed. This paper provides theoretical fundamentals to study the thermo-visco-elastic-plastic behaviors of micromorphic solids and constructs a numerical framework to study fracture mechanics of edge-crack problems.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Polymers and Plastics,Mechanics of Materials,Atomic and Molecular Physics, and Optics,Ceramics and Composites