Constitutive equations of the repeated elasto-plastic deformation of a rigid body, accounting for material strain anisotropy

1996 ◽  
Vol 32 (8) ◽  
pp. 587-594
Author(s):  
Yu. N. Shevchenko ◽  
R. G. Terekhov ◽  
N. S. Braikovskaya
1981 ◽  
Vol 18 (1) ◽  
pp. 86-94 ◽  
Author(s):  
David M. McClung

Snow glide, slip of the entire snowpack over the ground, is not observed unless water reaches the ground interface. In this paper, snow gliding is approached from the point of view that a perfect slip condition is attained at the glide interface whereby a thin continuous water film is envisioned to exist between the snowpack and the ground. Two mechanisms are described by which the snowpack may move forward: (i) creep (defined as slow, viscous deformation) over roughness asperities under the condition that the snowpack conforms to the interface and (ii) rigid body sliding of the snowpack over the interface when it does not conform to the interface. Constitutive equations relating tangential drag on the snowpack to slip velocity are derived for these idealized cases, and the extension to the more realistic case where the processes compete is discussed.


2008 ◽  
Vol 59 ◽  
pp. 129-134
Author(s):  
Yuji Takeda ◽  
Takaei Yamamoto ◽  
M. Uegaki ◽  
Hiroki Cho ◽  
Toshio Sakuma ◽  
...  

This paper describes the transformation and deformation behavior and its constitutive equation for Ti-41.7Ni-8.5Cu (at%) shape memory alloy. Plastic deformation after pre-deformation is investigated using the volume fraction of slip-deformed martensite. New kinetics and constitutive equations are proposed for the reverse transformation process. The material constants in the proposed equationa are determined from the results of tensile and heating/cooling tests of Ti-41.7Ni-8.5Cu (at%) shape memory alloy. The calculated results describe well the deformation and transformation behavior affected by pre-strain.


1979 ◽  
Vol 1 (3-4) ◽  
pp. 38-48
Author(s):  
Nguyen Van Diep ◽  
Truong Minh Chanh

This paper deals with the construction x of a generalized- diffusive theory of simple micro-fluid mixtures composed of a reactive constituents in the relative motion to one another and treated as a single simple micro-fluid. The basic laws of balance are given by postulating the balance law of energy together with invariant requirement under superposed rigid body motions or the mixture as a whole. The linear or nonlinear constitutive equations and full thermodynamic restrictions are given.


2002 ◽  
Vol 124 (2) ◽  
pp. 146-151 ◽  
Author(s):  
Jingyu Shi ◽  
D. L. S. McElwain ◽  
S. A. Domanti

This paper is concerned with the plastic deformation modes of the free surface of the half space between the teeth on the serrated surface of a rigid body. The rigid body indents the half space perpendicularly and the material of the half space is assumed to be elastic/rigid perfectly plastic. Plane-strain conditions are assumed. The emphasis in this paper is on the profile left on the surfaces of the material when the indentation proceeds to some depth and then the indenter is removed. Based on the observations from finite element results, slip line fields for the plastic deformation regions at various stages of indentation are proposed and the corresponding hodographs for the velocity field are presented. This has application in roughness transfer of final metal forming process.


1990 ◽  
Vol 22 (12) ◽  
pp. 1780-1783 ◽  
Author(s):  
D. V. Khvan ◽  
O. A. Rozenberg ◽  
Yu. A. Tsekhanov

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