Constitutive Modelling of Solid Continua

Description

This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry. Front Matter ....Pages i-xii Basic Equations of Continuum Mechanics (José Merodio, Raymond Ogden)....Pages 1-16 Finite Deformation Elasticity Theory (José Merodio, Raymond Ogden)....Pages 17-52 Thermomechanics (Manuel Doblaré, Mohamed H. Doweidar)....Pages 53-79 Viscoelastic Solids (Alan Wineman)....Pages 81-123 A Primer on Plasticity (David J. Steigmann)....Pages 125-153 Nonlinear Constitutive Modeling of Electroelastic Solids (Luis Dorfmann, Raymond Ogden)....Pages 155-186 A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies (Roger Bustamante, Kumbakonam Rajagopal)....Pages 187-230 Continuum Damage Mechanics—Modelling and Simulation (Andreas Menzel, Leon Sprave)....Pages 231-256 Theories of Growth (Marcelo Epstein)....Pages 257-284 Finite-Strain Homogenization Models for Anisotropic Dielectric Elastomer Composites (Morteza H. Siboni, P. Ponte Castañeda)....Pages 285-309 Porosity and Diffusion in Biological Tissues. Recent Advances and Further Perspectives (Raimondo Penta, Laura Miller, Alfio Grillo, Ariel Ramírez-Torres, Pietro Mascheroni, Reinaldo Rodríguez-Ramos)....Pages 311-356 Multiscale Homogenization for Linear Mechanics (Reinaldo Rodríguez-Ramos, Ariel Ramírez-Torres, Julián Bravo-Castillero, Raúl Guinovart-Díaz, David Guinovart-Sanjuán, Oscar L. Cruz-González et al.)....Pages 357-389