Constitutive Modelling of Solid Continua

This second edition offers a comprehensive collection of state-of-the-art chapters on continuum mechanics, covering topics such as the constitutive theory of magnetoelastic solids, solids with evolving reference configurations, second-gradient solids, and biological tissues. Featuring both updated original chapters and new contributions from leading experts, it provides a rigorous theoretical treatment of constitutive laws for modeling the mechanical and coupled-field behavior of solid materials. The book explores a broad spectrum of material behavior, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites, and homogenization. By presenting a unified theoretical framework, it serves as a valuable resource for researchers studying the deformation of solid materials across various applications and is an essential reference for graduate students, senior academics, and industry professionals alike.

Brings together state-of-the-art research on continuum mechanics in a single volume Features chapters by leading experts, providing authoritative insights into fundamental theories Offers a unified theoretical framework for research across various fields in solid mechanics

Inhalt

Basic elements of continuum mechanics.- Constitutive theory of nonlinear elasticity.- Thermomechanics.- Viscoelastic solids.- A primer on plasticity.- Nonlinear constitutive modeling of electroelastic solids.- Nonlinear constitutive modeling of magnetoelastic solids.- A review of implicit constitutive theories to describe the response of elastic bodies.- Waves and material properties.- Continuum damage mechanics modelling and simulation.- Theories of growth.- Natural configurations.- Gradient elasticity/nonlocal elasticity.- Finite-strain homogenization models for anisotropic dielectric elastomer composites.- Multiscale homogenization for linear mechanics.- Porosity and diffusion in biological tissues Recent Advances and Further Perspectives.- Constitutive models of biological tissues.