The Mechanics of Constitutive Modeling

The Mechanics of Constitutive Modeling

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Constitutive modelling is the mathematical description of how materials respond to various loadings. This is the most intensely researched field within solid mechanics because of its complexity and the importance of accurate constitutive models for practical engineering problems. Topics covered include: Elasticity - Plasticity theory - Creep theory - The nonlinear finite element method - Solution of nonlinear equilibrium equations - Integration of elastoplastic constitutive equations - The thermodynamic framework for constitutive modelling a€“ Thermoplasticity - Uniqueness and discontinuous bifurcations a€c More comprehensive in scope than competitive titles, with detailed discussion of thermodynamics and numerical methods. a€c Offers appropriate strategies for numerical solution, illustrated by discussion of specific models. a€c Demonstrates each topic in a complete and self-contained framework, with extensive referencing.Mechanics of Materials, 12, 255a€“265. ... Partitioned analysis of coupled systems, chapter 3. ... Stabilization of staggered solution procedures for fluid-structure interaction analysis. ... 6th edition. Perzyna, P. (1963). The constitutive equations for rate sensitive plastic materials. Quarterly of Applied Mathematics, 20, 321a€“ 332.

Title:The Mechanics of Constitutive Modeling
Author: Niels Saabye Ottosen, Matti Ristinmaa
Publisher:Elsevier - 2005-09-28

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