Renewal of basic laws and principles for polar continuum theories. II. Micromorphic continuum theory and couple stress theory

DOI10.1007/BF02438101zbMath1145.74309MaRDI QIDQ1890363

Tian-Min Dai

Publication date: 3 January 2005

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

balance equationmicromorphic continuumcouple stress theorycoupledbasic balance law

Mathematics Subject Classification ID

Polar materials (74A35) Micromechanical theories (74A60)

Related Items (9)

Renewal of basic laws and principles for polar continuum theories. VI: Conservation laws of mass and inertia ⋮ Renewal of basic laws and principles for polar continuum theories. VII: Incremental rate type ⋮ Renewal of basic laws and principles for polar continuum theories. IV: Surface conservation laws ⋮ Renewal of basic laws and principles for polar continuum theories. V: Polar thermomechanical continua ⋮ Renewal of basic laws and principles for polar continuum theories. III. Noether's theorem ⋮ Renewal of basic laws and principles for polar continuum theories. VIII. Principle of total work and energy ⋮ Renewal of basic laws and principles for polar continuum theories. IX. Thermomechanics ⋮ Renewal of basic laws and principles for polar continuum theories (XI)-consistency problems ⋮ Renewal of basic laws and principles for polar continuum theories. X: Master balance law

Cites Work

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• Balance laws of micromorphic continua revisited
• New principles of work and energy as well as power and energy rate for continuum field theories.
• Theories of elasticity with couple-stress
• Nonlinear theory of simple micro-elastic solids. I
• Uniqueness theorems for homogeneous, isotropic, simple elastic and thermoelastic materials having a micro-structure
• Effects of couple-stresses in linear elasticity
• Microcontinuum Field Theories
• New conservation laws of energy and C-D inequalities in continua without microstructure
• New conservation laws of energy and C-D inequalities in continua with microstructure

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