Plasticity

Dr. P.M. Dixitobtained a bachelor’s degree in aeronautical engineering from the Indian Institute of Technology (IIT) Kharagpur in 1974 and a PhD in mechanics in 1979 from the University of Minnesota, Minneapolis, USA. He joined the Department of Mechanical Engineering at the IIT Kanpur in 1984, where he is currently a professor. For the past 25 years, he has been working in the area of computational plasticity with applications for metal-forming processes and ductile fracture in impact problems using finite element method as a computational tool. He has published approximately 50 journal papers, 25 conference papers, and two books. Dr. U.S. Dixit obtained a bachelor’s degree in mechanical engineering from the University of Roorkee (now Indian Institute of Technology Roorkee) in 1987, an MTech in mechanical engineering from Indian Institute of Technology (IIT) Kanpur in 1993, and a PhD in mechanical engineering from IIT Kanpur in 1998. A professor for the department of mechanical engineering, Indian Institute of Technology Guwahati, Dr. Dixit has published numerous papers and three books. He has also edited a book on metal forming, guest-edited a number of special journal issues, and is an associate editor for the Journal of Institution of Engineers Series C.

"This book has been written in a way that a plasticity course can be offered to graduate students without previous solid mechanics background. The concept of Cartesian vectors and tensors in index notation is discussed in chapter 2 to prepare students for understanding the topics presented in subsequent chapters. ... This book emphasizes the application of plasticity in solving engineering problems. Eulerian and updated Lagrangian formulations, calculus of variations and extreme principles are discussed in chapters 6 and 7 to prepare students for numerical calculation."—Han-Chin Wu, University of Iowa, Iowa City, USA"The book is successful in presenting a modern treatment of plasticity theories without sacrificing details both at the conceptual and the applied level. The breadth of applications covered is unique and includes a wide range ofdisciplines ranging from contact mechanics to fracture. In this the book will find no parallels in the modern literature on plasticity."—Prof. Anurag Gupta, Indian Institute of Technology Kanpur"Comprehensive coverage from mathematic tools to constitutive formulations, from application examples to computational aspects."—Tongxi Yu, Hong Kong University of Science and Technology (HKUST)

• Solid Mechanics and Its Applications. Review of Algebra and Calculus of Vectors and Tensors. Stress. Measures of Deformation and Rate of Deformation. Incremental and Rate Type of Elastic–Plastic Constitutive Relations for Isotropic Materials, Objective Incremental Stress and Stress Rate Measures. Eulerian and Updated Lagrangian Formulations. Calculus of Variations and Extremum Principles. Two-Dimensional and Axisymmetric Elasto-Plastic Problems. Contact Mechanics. Dynamic Elasto-Plastic Problems. Continuum Damage Mechanics and Ductile Fracture. Plastic Anisotropy. References. Index.