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.

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

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.

First text which presents readers with depth and breadth on foundational coupled-physics theories Provides complete details for the formulation of each theory, arming readers with the tools to understand and formulate a broad range of theories Includes extensive example simulations to bring the theories to life for readers, improving their understanding of key concepts Source codes for all example simulations can be found on the book's companion website: https://solidmechanicscoupledtheories.github.io