Continuum Mechanics of Solids

• I Vectors and Tensors


• 1: Vectors and tensors: Algebra


• 2: Vectors and tensors: Analysis


• II Kinematics


• 3: Kinematics


• III Balance Laws


• 4: Balance laws for mass, forces, and moments


• 5: Balance of energy and entropy imbalance


• 6: Balance laws for small deformations


• IV Linear Elasticity


• 7: Constitutive equations for linear elasticity


• 8: Linear elastostatics


• 9: Solutions for some classical problems in linear elastostatics


• V Variational Formulations


• 10: Variational formulation of boundary value problems


• 11: Introduction to the finite element method


• 12: Minimum principles


• VI Elastodynamics, Sinusoidal Progressive Waves


• 13: Elastodynamics, Sinusoidal progressive waves


• VII Coupled Theories


• 14: Linear thermoelasticity


• 15: Chemoelasticity


• 16: Linear poroelasticity


• 17: Chemoelasticity theory for energy storage materials


• 18: Linear piezoelectricity


• VIII Limits to Elastic Response, Yielding and Plasticity


• 19: Limits to elastic response. Yielding and failure


• 20: One-dimensional plasticity


• 21: Three-dimensional plasticity with isotropic hardening


• 22: Plasticity with kinematic and isotropic hardening


• 23: Postulate of maximum dissipation


• 24: Some classical problems in rate-independent plasticity


• 25: Rigid-perfectly-plastic materials. Two extremum principles


• IX Fracture and Fatigue


• 26: Linear elastic fracture mechanics


• 27: Energy-based approach to fracture


• 28: Fatigue


• X Linear Viscoelasticity


• 29: Linear viscoelasticity


• XI Finite Elasticity


• 30: Finite elasticity


• 31: Finite elasticity of elastomeric materials


• XII Appendices


• A: Cylindrical and Spherical coordinate systems


• B: Stress intensity factors for some crack configurations

Lallit Anand is the Warren and Towneley Rohsenow Professor of Mechanical Engineering at the Massachusetts Institute of Technology (MIT). His research focuses on solid mechanics, and he is widely known for his contributions to the development of large deformation plasticity theory for engineering technology. He has received numerous honors, including the Eric Reissner Medal, 1992; ASME Fellow, 2003; 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; and the Society of Engineering Science Prager Medal, 2018. He was elected to the National Academy of Engineering in 2018.

Sanjay Govindjee is the Horace, Dorothy and Katherine Johnson Professor in Engineering at the University of California, Berkeley. He is known as the leading figure in modelling and computation of finitely deformable polymeric materials. He authored Engineering Mechanics of Deformable Solids (OUP, 2013), among other books. Govindjee serves as a consultant to several governmental agencies and private corporations. He is an active member in major societies such as the American Society of Mechanical Engineers and the US Association for Computational Mechanics. He is also a registered Professional Mechanical Engineer in the state of California. Noteworthy honors include a National Science Foundation Career Award, the inaugural 1998 Zienkiewicz Prize and Medal, an Alexander von Humboldt Foundation Fellowship 1999, a Berkeley Chancellor's Professorship 2006-2011. In 2018 he received a Humboldt-Forschungspreis (Humboldt Research Award).

Both authors have made seminal contributions to the subject, and are scholars of great depth and breadth. The field is well established, broadly useful, and commonly taught. In recent years, new extensions, refinements, and applications are discovered, in fields like polymers, gels, and batteries. A textbook with attention to practical pedagogy, as written by these two distinguished scholars, is exceptionally timely. Zhigang Suo, Harvard University