Constitutive Equations for Engineering Materials

Constitutive Equations for Engineering Materials

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Constitutive Equations for Engineering Materials, Volume 1: Elasticity and Modeling, Revised Edition focuses on theories on elasticity and plasticity of engineering materials. The book first discusses vectors and tensors. Coordinate systems, vector algebra, scalar products, vector products, transformation of coordinates, indicial notation and summation convention, and triple products are then discussed. The text also ponders on analysis of stress and strain and presents numerical analysis. The book then discusses elastic stress-strain relations. Basic assumptions; need for elastic models; isotropic linear stress-strain relations; principle of virtual work; strain energy and complementary energy density in elastic solids; and incremental relations grounded on secant moduli are described. The text also explains linear elasticity and failure criteria for concrete and non-linear elasticity and hypoelastic models for concrete. The selection further tackles soil elasticity and failure criteria. Mechanical behavior of soils; failure criteria of soils; and incremental stress-strain models based on modification of the isotropic linear elastic formulation are considered. The text is a good source of data for readers interested in studying the elasticity and plasticity of engineering materials.... Chen gave for a number of years to graduate students in civil engineering at Lehigh University and Purdue University. ... the theories for metals and their generalization for concrete and soil have resulted in a broader scope and new objectives ... Throughout the book, there are many illustrative examples. Some show numerical work leading to results illustrating the physical content of the formulations.

Title:Constitutive Equations for Engineering Materials
Author: Wai-Fah Chen, Atef F. Saleeb
Publisher:Elsevier - 2013-10-22

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