Overview

The coupled response of solid materials to multiple fields, such as deformation, heat, electricity, and magnetism, plays a crucial role in modern engineering applications, from soft robotics to energy storage. Advancing theoretical models and numerical implementations for these coupled behaviours in solids is a challenging and exciting frontier in mechanics. This textbook introduces some foundational coupled theories in solid mechanics by starting from fundamental principles of mechanics, thermodynamics, and electrodynamics, and specializing to model particular 'smart materials'. Numerous representative simulations are provided, demonstrating key coupled behaviours and engineering applications for each theory. The large deformation coupled theories discussed in this book have been numerically implemented in the open-source finite element program FEniCS, and representative simulations which illustrate key coupled behaviors are presented for each theory. The FEniCS codes for the representative simulations shown in this book are available online on the book's companion website: .Ideal for graduate students, researchers, and practicing engineers, Introduction to Coupled Theories in Solid Mechanics serves as both an introduction to the field and a foundational resource for building the coupled theories and simulation tools of the future.

Full Product Details

Author:   Lallit Anand (Warren and Towneley Rohsenow Professor of Mechanical Engineering, Warren and Towneley Rohsenow Professor of Mechanical Engineering, Massachusetts Institute of Technology) ,  Eric M. Stewart (Assistant Professor of Mechanical Engineering, Assistant Professor of Mechanical Engineering, University of Cincinnati) ,  Shawn A. Chester (Associate Professor of Mechanical Engineering, Associate Professor of Mechanical Engineering, New Jersey Institute of Technology)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 19.40cm , Height: 3.60cm , Length: 25.30cm
Weight:   1.484kg
ISBN:  

9780198986218

ISBN 10:   0198986211
Pages:   624
Publication Date:   23 December 2025
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
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Table of Contents

Part I - Finite Elasticity of Elastomeric Materials 1: Finite elasticity of elastomeric materials 2: Numerical implementation of finite elasticity 3: Representative simulations Part II - Viscoelasticity of Elastomeric Materials 4: Viscoelasticity of elastomeric materials 5: Numerical implementation of the viscoelasticity theory 6: Representative simulations Part III - Thermoelasticity of Elastomeric Materials 7: Thermoelasticity of elastomeric materials 8: Numerical implementation of thermoelasticity of elastomeric materials 9: Representative simulations Part IV - Poroelasticity of Elastomeric Gels 10: Poroelasticity of elastomeric gels 11: Numerical implementation of poroelasticity of elastomeric gels 12: Representative simulations Part V - Thermally-Responsive Elastomeric Gels 13: Thermally responsive elastomeric gels 14: Numerical implementation of theory for thermally responsive gels 15: Representative simulations Part VI - Cahn-Hilliard Theory for Species Diffusion Coupled with Elastic Deformations 16: Cahn-Hilliard theory for species diffusion and phase segregation 17: Coupled chemo-mechanical theory for species diffusion and phase segregation 18: Numerical implementation of the coupled chemo-mechanical theory 19: Representative simulations Part VII - Electro-Elasticity of Dielectric Elastomers 20: Electroelasticity of dielectric elastomers 21: Numerical implementation of the theory for dielectric elastomers 22: Representative simulations Part VIII - Electro-Viscoelasticity of Dielectric Elastomers 23: Electro-viscoelasticity of dielectric elastomers 24: Numerical implementation of the electro-viscoelasticity theory 25: Representative simulations for dielectric viscoelastomers Part IX - Electro-Chemo-Elasticity of Ionic Polymers 26: Electro-chemo-elasticity of ionic polymers 27: Numerical implementation of theory for ionic polymers 28: Representative simulations Part X - Magneto-Elasticity of Hard-Magnetic Soft-Elastomers 29: Magneto-viscoelasticity of hard-magnetic soft-elastomers 30: Numerical implementation of the theory 31: Representative simulations Part XI - Magneto-Elasticity of Soft-Magnetic Soft-Elastomers 32: Magneto-viscoelasticity of soft-magnetic soft-elastomers 33: Numerical implementation of the theory for s-MREs 34: Representative simulations Appendices

Reviews

A great book of highest quality, speaking to everybody concerned with continuum modelling of nonlinear materials. * Paul Steinmann, University of Erlangen-Nurnberg * A timely book by outstanding scholars, comprehensive and pedagogical. * Zhigang Suo, Harvard University *

Author Information

Lallit Anand received his undergraduate degree from IIT Kharagpur and his doctorate from Brown University. After a few years in industry at U.S. Steel's Fundamental Research Laboratory, he joined the MIT faculty, where he is currently the Rohsenow Professor of Mechanical Engineering. The honors he has received include: ICES Eric Reissner Medal, 1992; ASME Fellow, 2003; Khan International Plasticity Medal, 2007; IIT Kharagpur Distinguished Alumnus Award, 2011; ASME Drucker Medal, 2014; MIT Den Hartog Distinguished Educator Award, 2017; Brown University Engineering Alumni Medal, 2018; SES Prager Medal, 2018; and SES Fellow, 2024. He was elected to the U.S. National Academy of Engineering in 2018. Eric M. Stewart obtained a B.S in Aerospace Engineering from Georgia Tech in 2018. He then obtained M.S. and Ph.D. degrees in Mechanical Engineering from MIT in 2021 and 2025, where he was a recipient of the National Defense Science and Engineering Graduate (NDSEG) Fellowship. He joined the faculty of the University of Cincinnati in 2025, where he is currently an Assistant Professor in the Department of Mechanical and Materials Engineering. Shawn A. Chester obtained his BS and MS in Mechanical Engineering from NJIT, and his PhD from MIT. After a postdoc at Lawrence Livermore National Laboratory, he joined the faculty at NJIT. He is the recipient of several honors and awards, including an NSF CAREER award, the ASME Thomas J.R. Hughes Young Investigator Award, the Newark College of Engineering Rising Star Research Award, and the NJIT Excellence in Research Award.

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