Continuum Mechanics of Solids

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.

• 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