Explore a Unified Treatment of the Finite Element Method
The finite element method has matured to the point that it can accurately and reliably be used, by a careful analyst, for an amazingly wide range of applications. With expanded coverage and an increase in fully solved examples, the second edition of Finite Element Analysis: Thermomechanics of Solids presents a unified treatment of the finite element method in theremomechanics, from the basics to advanced concepts.
An Integrated Presentation of Critical Technology
As in the first edition, the author presents and explicates topics in a way that demonstrates the highly unified structure of the finite element method. The presentation integrates continuum mechanics and relevant mathematics with persistent reliance on variational and incremental-variational foundations. The author exploits matrix-vector formalisms and Kronecker product algebra to provide transparent and consistent notation throughout the text.
Nearly twice as long as the first edition, this second edition features:
§ Greater integration and balance between introductory and advanced material
§ Increased number of fully solved examples
§ Selected developments in numerical methods, detailing accelerating computations in eigenstructure extraction, time integration, and stiffness matrix triangularization
§ More extensive coverage of the arc length method for nonlinear problems
§ Expanded and enhanced treatment of rotating bodies and buckling
Provides Sophisticated Understanding of Capabilities and Limitations
This new edition of a popular text includes significant illustrative examples and applications, modeling strategies, and explores a range
Table of Contents
Introduction To The Finite Element Method. Mathematical Foundations: Vectors and Matrices. Mathematical Foundations: Tensors. Introduction to Variational Methods. Fundamental Notions of Linear Solid Mechanics. Thermal and Thermomechanical Response. One Dimensional Elastic and Thermal Elements. Two and Three Dimensional Elements in Linear Elasticity and Linear Conductive Heat Transfer. Solution Methods for Linear Problems – I. Solution Methods for Linear Problems –II. Additional Topics in Linear Thermoelastic Systems. Rotating and Unrestrained Elastic Bodies. Aspects on Nonlinear Continuum Thermomechanics. Introduction to Nonlinear FEA. Incremental Principle of Virtual Work. Tangent Modulus Tensors for Thermomechanical Response of Elastomers. Tangent Modulus Tensors for Inelastic and Thermoinelastic Materials. Selected Advanced Numerical Methods in FEA. References. Index.
Nicholson, David W.
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