Advanced Continuum Theories And Finite Element Analyses

Advanced Continuum Theories And Finite Element Analyses by James D Lee

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.

SKU	Unavailable
ISBN 13	9789811201486
ISBN 10	981120148X
Title	Advanced Continuum Theories And Finite Element Analyses
Author	James D Lee
Series	Frontier Research In Computation And Mechanics Of Materials And Biology
Condition	Unavailable
Binding Type	Hardback
Publisher	World Scientific Publishing Co Pte Ltd
Year published	2020-01-30
Number of pages	524
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.