scholarly journals Inelastic constitutive equations of polycrystalline metals at finite deformation. (1st report. Effect of grain rotation).

1987 ◽  
Vol 53 (496) ◽  
pp. 2444-2451
Author(s):  
Masataka TOKUDA ◽  
Kenji YAMADA
Keyword(s):  
Finite Deformation ◽  
Constitutive Equations ◽  
Grain Rotation ◽  
Polycrystalline Metals

A Finite Deformation Theory of Viscoplasticity Based on Overstress: Part I—Constitutive Equations

1990 ◽  
Vol 57 (3) ◽  
pp. 548-552 ◽  
Author(s):  
I. Nishiguchi ◽  
T.-L. Sham ◽  
E. Krempl
Keyword(s):  
Finite Deformation ◽  
Constitutive Equations ◽  
Deformation Theory ◽  
Rate Sensitivity ◽  
Second Order ◽  
Stress Rate ◽  
Order Effects ◽  
Additive Decomposition ◽  
Elastic Part ◽  
Finite Deformation Theory

The viscoplasticity theory based on overstress (VBO) is extended to finite deformation (FVBO). Yield surfaces and loading/unloading conditions are not part of this theory which represents creep, relaxation, and rate sensitivity in a “unified” way. Additive decomposition of the rate of deformation into the elastic and the inelastic parts is assumed. For the elastic part, the hypoelastic relation is used. For the inelastic part, the flow law of VBO is augmented by a term quadratic in the overstress together with a modified Jaumann stress rate which jointly or separately allow the modeling of second-order effects.

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