Continuum Mechanics of Solids - Lallit Anand, Sanjay Govindjee

Knjiga "Continuum Mechanics of Solids" - Lallit Anand, Sanjay Govindjee

Description

This introductory graduate text is a unified treatment of the major concepts of Solid Mechanics for beginning graduate students in the many branches of engineering. Major topics are elasticity, viscoelasticity, plasticity, fracture, and fatigue. The book also has chapters on thermoelasticity, chemoelasticity, poroelasticity and piezoelectricity.

• Includes step-by-step derivations and numerous detailed examples
• Up-to-date presentation
• Introduces the reader to topics in fracture and fatigue, and coupled field problems such as thermoelasticity, chemoelasticity, poroelasticity, and piezoelectricity
• Helps equip graduate student readers to become practicing engineers, and sets them up for more specialized studies in the mechanical behavior of materials

Table of Contents

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

About the Author(s)

Lallit Anand, Professor of Mechanical Engineering, Dept of Mechanical Engineering, MIT, and Sanjay Govindjee, Professor in Engineering, Depf of Civil Engineering, University of California at Berkeley 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).