Advanced Continuum Theories And Finite Element Analyses

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.