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Full Description
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.
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
