Advanced Continuum Theories And Finite Element Analyses

Released on by James D Lee
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  • Advanced Continuum Theories And Finite Element Analyses Book Detail

  • Author : James D Lee
  • Release Date : 2020-01-08
  • Publisher : World Scientific
  • Genre : Technology & Engineering
  • Pages : 523
  • ISBN 13 : 9811201501
  • File Size : 29,29 MB
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Advanced Continuum Theories And Finite Element Analyses by James D Lee PDF Summary

Book Description: This comprehensive volume presents a unified framework of continuum theories. It indicates that (i) microcontinuum theories (micromorphic and micropolar theories) are natural extension of classical continuum mechanics, and (ii) classical continuum mechanics is a special case of microcontinuum theories when the deformable material point is idealized as a single mathematical point. The kinematics and basic laws are rigorously derived. Based on axiomatic approach, constitutive theory is systematically derived for various kinds of materials, ranging from Stokesian fluid to thermo-visco-elastic-plastic solid. Material force and Thermomechanical-electromagnetic coupling are introduced and discussed. Moreover, general finite element methods for large-strain thermomechanical coupling physical phenomena are systematically formulated. Also, non-classical continuum theories (Nonlocal Theory, Mechanobiology, 4D printing, Poromechanics, and Non-Self-Similar Crack Propagation) are rigorously formulated with applications and demonstrated numerically.As an advanced monograph, this unique compendium can also be used as a textbook for several graduate courses, including continuum mechanics, finite element methods, and advanced engineering science theories. Extensive problems are provided to help students to better understand the topics covered.

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Finite Elements of Nonlinear Continua

Finite Elements of Nonlinear Continua

File Size : 56,56 MB
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Geared toward undergraduate and graduate students, this text extends applications of the finite element method from linear problems in elastic structures to a b