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Continuum Mechanics of Solids - Oxford Scholarship Online
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Continuum Mechanics of Solids

Lallit Anand and Sanjay Govindjee

Abstract

Continuum mechanics of Solids presents a unified treatment of the major concepts in Solid Mechanics for beginning graduate students in the many branches of engineering. The fundamental topics of kinematics in finite and infinitesimal deformation, mechanical and thermodynamic balances plus entropy imbalance in the small strain setting are covered as they apply to all solids. The major material models of Elasticity, Viscoelasticity, and Plasticity are detailed and models for Fracture and Fatigue are discussed. In addition to these topics in Solid Mechanics, because of the growing need for engi ... More

Keywords: Solid mechanics, Continuum mechanics, Elasticity, Viscoelasticity, Plasticity, Fracture, Fatigue, Thermoelasticity, Chemoelasticity, Poroelasticity, Piezoelectricity, Elastomeric Models, Finite elasticity, Thermodynamics of solids

Bibliographic Information

Print publication date: 2020 Print ISBN-13: 9780198864721
Published to Oxford Scholarship Online: September 2020 DOI:10.1093/oso/9780198864721.001.0001

Authors

Affiliations are at time of print publication.

Lallit Anand, author
Professor of Mechanical Engineering, Dept of Mechanical Engineering, MIT

Sanjay Govindjee, author
Professor in Engineering, Depf of Civil Engineering, University of California at Berkeley

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Contents

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Part I Vectors and tensors

Part II Kinematics

Part III Balance laws

Part IV Linear elasticity

Part V Variational formulations

Part VI Elastodynamics. Sinusoidal progressive waves

Part VII Coupled theories

Part VIII Limits to elastic response. Yielding and plasticity

Part IX Fracture and fatigue

Part X Linear viscoelasticity

Part XI Finite elasticity