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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
