A finite strain theory for elastic-plastic deformation

1971 ◽  
Vol 6 (4) ◽  
pp. 435-450 ◽  
Author(s):  
J.B. Haddow ◽  
T.M. Hrudey
Keyword(s):  
Plastic Deformation ◽  
Finite Strain ◽  
Strain Theory ◽  
Elastic Plastic ◽  
Finite Strain Theory

scholarly journals Rolling of a rigid ball on a horizontal deformable surface

2004 ◽  
Vol 46 (2) ◽  
pp. 249-264
Author(s):  
Maurice N. Brearley ◽  
Neville J. De Mestre
Keyword(s):  
Finite Strain ◽  
Strain Theory ◽  
Golf Ball ◽  
Rigid Sphere ◽  
Billiard Ball ◽  
Ball Rolling ◽  
Deformable Surface ◽  
Finite Strain Theory ◽  
Theoretical Results

AbstractThe rolling of a ball on a horizontal deformable surface was investigated under the assumptions that the ball was a rigid sphere and the surface was elastic. Finite strain theory was used to develop theoretical results which were found to match observations well in cases where the ball and surface involved were such as to ensure no slipping at the region of contact, including a lawn bowl rolling on a grass rink and a billiard ball rolling on carpet. The theory did not match well the behaviour of a golf ball on a grass green because the ball was too light to enforce the no-slipping condition.

Elastic-Plastic Deformation at Finite Strains

1969 ◽  
Vol 36 (1) ◽  
pp. 1-6 ◽  
Author(s):  
E. H. Lee
Keyword(s):  
Plastic Deformation ◽  
Irreversible Process ◽  
Finite Strain ◽  
Present Theory ◽  
Thermomechanical Coupling ◽  
Large Strains ◽  
Previous Theory ◽  
Elastic Plastic ◽  
Strain Components ◽  
Classical Plasticity

In some circumstances, elastic-plastic deformation occurs in which both components of strain are finite. Such situations fall outside the scope of classical plasticity theory which assumes either infinitesimal strains or plastic-rigid theory for large strains. The present theory modifies the kinematics to include finite elastic and plastic strain components. For situations requiring this generalization, dilatational influences are usually significant including thermomechanical coupling. This is introduced through the consideration of two coupled thermodynamic systems: one comprising thermoelasticity at finite strain and the other the irreversible process of dissipation and absorption of plastic work. The present paper generalizes a previous theory to permit arbitrary deformation histories.

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