Mechanics of Elastic Solids

This book entitled Mechanics of Elastic Solids is written as a textbook of the course “Elasticity” or “Theory of Elasticity” or “Elasticity Mechanics” for relevant engineering majors. It can also be used as a professional book for relevant technical persons. It mainly introduces elasticity theory, including stress analysis, deformation analysis, constitutive relations, elasticity model construction for actual problems, solutions for infinitesimal plane stress and strain problems, three-dimensional problems, multiphysics field problems, variation principle in elasticity, thin plate, and cylindrical shells.

The rapid and continuous advancements in numerical methods and computer power have diminished the significance of certain analytical solutions in elasticity problems.. Therefore, this book simplifies some traditional contents such as the solution of plane problems and twist of cylinder. Instead, some new topics which are important for real-world problems are introduced, such as the accurate description of finite deformation, constitutive equations for small strain but large rotation problems, hyperelasticity, procedural steps and general methodologies for model construction of real-world problems, and multiphysics field problems. A plenty of examples is prepared in this book for comprehensive understanding. 

Introduction.- Analysis of Stress.- Analysis of Deformation.- Constitutive Equations.- Construction of Elastic Solid Mechanics Models for Actual Prob-lems.- Solutions for Infinitesimal Plane Stress and Strain Problems.- Solutions for Infinitesimal Three-Dimensional Problems.- Multiphysics Field Problems.- Variational Methods for Infinitesimal Deformation Problems.- Thin Plates and cylindrical shells.

Junqian Zhang is a professor in mechanics at Shanghai University. His current research interests include mechanics of engineering materials and materials for energy storage, and his research is internationally known in mechanics of composites and mechanics-electrochemistry in lithium-ion batteries. He received his Ph.D. degree in engineering mechanics at Chongqing University in 1992. He was an Alexander von Humboldt research fellow, Germany, during 1996–1998 and 2002–2003. Prior to joining the faculty at Shanghai University in 2003, he was a professor at Chongqing University, where he was promoted as an associate professor and full professor in 1992 and 1999, respectively. He has authored or co-authored more than 100 publications. He has taught the course “Elasticity Mechanics” for the undergraduate students having the major in theoretical and applied mechanics in Shanghai University since 2008.

Yicheng Song is a professor in mechanics at Shanghai University. His current research interests include mechanics of materials for energy storage and mechanical-electrochemical coupling problems. He received his Ph.D. degree in mechanical engineering at the Hong Kong University in 2008. He has authored or co-authored more than 50 publications. He has taught the course “Engineering Mechanics” and “Mechanics of Materials” for the undergraduate students since 2009 and the course “Advanced Solid Mechanics” for the doctoral candidates having the major in mechanics in Shanghai University since 2022.

Bo Lu is an associate professor in mechanics at Shanghai University. His research interests include mechanics of energy storage materials and coupled mechanical-electrochemical problems in lithium-ion batteries. He received his Ph.D. degree in solid mechanics at Shanghai University in 2016. He was a visiting student at University of Kentucky, USA, during 2014–2015. He has authored or co-authored more than 40 publications. He has taught the course “Elasticity Mechanics” for the undergraduate students since 2020 and the course “Advanced Solid Mechanics” for the graduated students since 2021.