Nonlinear Continuum Mechanics: An Engineering Approach

This textbook on Continuum Mechanics covers Tensor Algebra and Tensor Analysis,Nonlinear Solid Mechanics,and Variational Methods in Solid Mechanics,with content valid for both solid and fluid materials. It is designed for advanced Masters courses in Civil, Mechanical, or Aerospace Engineering, Applied Mathematics, or Applied Physics.

Format: Hardback
Length: 344 pages
Publication date: 23 August 2023
Publisher: Springer International Publishing AG

This comprehensive textbook on Continuum Mechanics spans a total of 9 chapters, each dedicated to exploring different aspects of the field. Chapters 1 and 2 delve into the realm of Tensor Algebra and Tensor Analysis, providing a solid foundation for the subsequent chapters. Part I of the book encompasses the next 3 chapters, covering a wide range of topics applicable to both solid and fluid materials. By the end of Part I, readers will have gained the necessary skills to formulate the fundamental governing equations and inequalities in local spatial/material form for a Continuum Mechanics problem.

Part II of the textbook takes readers on a journey into the realm of Nonlinear Solid Mechanics. Chapters 6 to 10 present various nonlinear constitutive models, each tailored to address specific aspects of solid deformation. These models include Finite Deformation Hyperelasticity, Finite Deformation Plasticity, Finite Deformation Coupled Thermoplasticity, and Finite Deformation Contact Mechanics. The constitutive equations are derived within a thermodynamically consistent framework, ensuring their validity and reliability. Finite deformation elastoplasticity models, for instance, are built upon a multiplicative decomposition of the deformation gradient, incorporating the concept of an intermediate configuration. Different formulations based on the intermediate configuration, the current or spatial configuration, and the material configuration are explored, providing a comprehensive understanding of the subject matter.

The final chapter of the book focuses on Variational Methods in Solid Mechanics, a fundamental topic in Computational Mechanics. This chapter delves into the principles and techniques used to solve solid mechanics problems numerically. It covers topics such as finite element methods, boundary element methods, and meshless methods, highlighting their advantages and applications. The book serves as an invaluable textbook for advanced Masters courses in Nonlinear Continuum Mechanics, catering to graduate students in Civil, Mechanical, or Aerospace Engineering, Applied Mathematics, or Applied Physics. With an interest in Continuum Mechanics and Computational Mechanics, these students will find this textbook an essential resource for their academic pursuits.

Weight: 777g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031152061
Edition number: 1st ed. 2023