Renewal of basic laws and principles for polar continuum theories (VII) —Incremental rate type
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The purpose is to establish the rather complete equations of motion, boundary conditions and equation of energy rate of incremental rate type for micropolar continua. To this end the rather complete definitions for rates of deformation gradient and its inverse are made. The new relations between various stress and couple stress rate tensors are derived. Finally, the coupled equations of motion, boundary conditions and equation of energy rate of incremental rate type for continuum mechanics are obtained as a special case.
Key wordscoupled equation of motion bundary condition energy rate incremental rate type micropolar continua
Chinese Library Classification numberO33
2000 Mathematics Subject Classification74A35 74A60
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