Renewal of basic laws and principles for polar continuum theories. I: Micropolar continua

DOI10.1007/BF02438100zbMath1145.74308OpenAlexW1986530121MaRDI QIDQ1890362

Tian-Min Dai

Publication date: 3 January 2005

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

Full work available at URL: https://doi.org/10.1007/bf02438100

zbMATH Keywords

balance equationmicropolar continuumcoupledbasic law

Mathematics Subject Classification ID

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

Related Items (10)

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 ⋮ On natural strain measures of the non linear micropolar continuum

Cites Work

• Unnamed Item
• New principles of work and energy as well as power and energy rate for continuum field theories.
• On some theorems in the nonlocal theory of micropolar elasticity
• Microcontinuum Field Theories
• New conservation laws of energy and C-D inequalities in continua with microstructure

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