The Mechanics of Non-Linear Materials with Memory

作者: A. E. Green , R. S. Rivlin

DOI: 10.1007/BF00281398

关键词: MechanicsCoordinate systemNonlinear systemDisplacement (vector)Deformation (mechanics)Rotation (mathematics)AccelerationAngular velocityConstitutive equationPhysics

摘要: The mechanics of non-linear materials with memory has been discussed in previous papers [1, 2] and an earlier report [3]*. In these papers, it was assumed that, a fixed coordinate system, the stress at point material any instant time is determined by deformation gradients that instants. limitations imposed on form constitutive equation consideration unaltered simultaneous rotation body reference system are determined. present paper, we assume initially implicit relations between stress, its derivatives displacement, velocity, acceleration, etc. number instants some interval. resulting from fact imposition additional arbitrary angular discussed.

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