A Correct Definition of Elastic and Plastic Deformation and Its Computational Significance

1981 ◽  
Vol 48 (1) ◽  
pp. 35-40 ◽  
Author(s):  
V. A. Lubarda ◽  
E. H. Lee
Keyword(s):  
Plastic Deformation ◽  
Finite Deformation ◽  
Elastic Strain ◽  
Total Rate ◽  
Plastic Part ◽  
Elastic Plastic ◽  
Correct Definition ◽  
Deformation Kinematics ◽  
Definition Of ◽  
Elastic And Plastic Deformation

The plastic part of an elastic-plastic deformation is that remaining when the stress, and hence the elastic strain, is reduced to zero. Elastic deformation is that produced in this purely plastically deformed material by the action of stresses up to yield. The associated exact finite-deformation kinematics shows the almost universal assumption that the total rate of deformation is the sum of elastic and plastic rates to be in error. An incremental elastic-plastic theory is developed using the nonlinear kinematics. The theory is contrasted with that in common use and anomalies in the latter are discussed.

The Yield Condition and Flow Rule for a Metal Subjected to Finite Elastic Volume Change

1971 ◽  
Vol 93 (4) ◽  
pp. 708-712 ◽  
Author(s):  
J. B. Haddow ◽  
T. M. Hrudey
Keyword(s):  
Plastic Deformation ◽  
Hydrostatic Pressure ◽  
Plastic Flow ◽  
Volume Change ◽  
High Hydrostatic Pressure ◽  
Elastic Strain ◽  
Yield Condition ◽  
Flow Rule ◽  
Elastic Plastic ◽  
Plastic Flow Rule

A theory for elastic-plastic deformation with finite elastic strain is outlined. The results of this theory are specialized to consider a metal subjected to high hydrostatic pressure which produces finite elastic volume change. Drucker’s postulate is used to obtain the form of the yield condition and the associated plastic flow rule.

XXVI.—The Normal Penetration of a Thin Elastic-Plastic Plate by a Right Circular Cone

1952 ◽  
Vol 63 (4) ◽  
pp. 359-370
Author(s):  
J. W. Craggs
Keyword(s):  
Plastic Deformation ◽  
Thin Plate ◽  
Circular Cone ◽  
Thin Wire ◽  
Plastic Plate ◽  
Elastic Plastic ◽  
Uniform Velocity ◽  
Infinite Extent ◽  
Elastic And Plastic Deformation

SynopsisA study is made of the propagation of elastic and plastic deformation in a thin plate, initially unstressed, and of infinite extent, when it is penetrated normally by a cone moving with uniform velocity. The work is an extension of unpublished researches by Sir G. I. Taylor on the corresponding problem for a thin wire, and a summary of his results is included.

Zur Formulierung der Hypothese von der elastischen Formänderungsenergiedichte mit einer Erweiterung auf den elastisch-plastischen Bereich / Formulation of the elastic strain energy theory with an enlargement to the elastic-plastic range

1973 ◽  
Vol 28 (1) ◽  
pp. 35-45 ◽  
Author(s):  
J. Betten
Keyword(s):  
Plastic Deformation ◽  
Plastic Strain ◽  
Elastic Strain ◽  
Strain Energy ◽  
Elastic Strain Energy ◽  
Elastic Potential ◽  
Plastic Range ◽  
Elastic Case ◽  
Elastic Plastic ◽  
Energy Theory

Contrary to the MISES' theory, the effort of materials under load is discussed in this paper on the base of the elastic potential. This leads to the elastic strain energy theory due to BELTRAMI. This theory is only true for the elastic case. For υ = 1/2 we obtain the MISES' theory, and by changing υ to υep it is possible to enlarge the elastic strain energy theory to the elastic-plastic deformation. υep is the ratio between transverse and longitudinal elastic-plastic strain, and υ is the POISSON's ratio.

scholarly journals Influence of Different Strain Hardening Models on the Behavior of Materials in the Elastic–Plastic Regime under Cyclic Loading

Materials ◽  
2020 ◽  
Vol 13 (23) ◽  
pp. 5323
Author(s):  
Peter Sivák ◽  
Peter Frankovský ◽  
Ingrid Delyová ◽  
Jozef Bocko ◽  
Ján Kostka ◽  
...  
Keyword(s):  
Plastic Deformation ◽  
Strain Hardening ◽  
Compliant Mechanisms ◽  
Linear Collider ◽  
Cyclic Stress ◽  
Practical Applications ◽  
Elastic Plastic ◽  
Plastic Regime ◽  
Initial Area ◽  
Elastic And Plastic Deformation

In exact analyses of bodies in the elastic–plastic regime, the behavior of the material above critical stress values plays a key role. In addition, under cyclic stress, important phenomena to be taken into account are the various types of hardening and the design of the material or structure. In this process, it is important to define several groups of characteristics. These include, for instance, the initial area of plasticity or load which defines the interface between elastic and plastic deformation area. The characteristics also include the relevant law of plastic deformation which specifies the velocity direction of plastic deformation during plastic deformation. In the hardening condition, it is also important to determine the position, size and shape of the subsequent loading area. The elasto-plastic theory was used for the analysis of special compliant mechanisms that are applied for positioning of extremely precise members of the Compact Linear Collider (CLIC), e.g., cryomagnets, laser equipment, etc. Different types of deformation hardening were used to simulate the behavior of particular structural elements in the elastic–plastic regime. Obtained values of stresses and deformations may be used in further practical applications or as default values in other strain hardening model simulations.

Plastic Deformation in Microtomed Sections

1971 ◽  
Vol 29 ◽  
pp. 458-459
Author(s):  
J. Temple Black
Keyword(s):  
Plastic Deformation ◽  
Plastic Strain ◽  
Applied Stress ◽  
Elastic Strain ◽  
High Strain ◽  
Tool Material ◽  
Cutting Edge ◽  
Material Structure ◽  
Geometrical Constraints

The output of the ultramicrotomy process with its high strain levels is dependent upon the input, ie., the nature of the material being machined. Apart from the geometrical constraints offered by the rake and clearance faces of the tool, each material is free to deform in whatever manner necessary to satisfy its material structure and interatomic constraints. Noncrystalline materials appear to survive the process undamaged when observed in the TEM. As has been demonstrated however microtomed plastics do in fact suffer damage to the top and bottom surfaces of the section regardless of the sharpness of the cutting edge or the tool material. The energy required to seperate the section from the block is not easily propogated through the section because the material is amorphous in nature and has no preferred crystalline planes upon which defects can move large distances to relieve the applied stress. Thus, the cutting stresses are supported elastically in the internal or bulk and plastically in the surfaces. The elastic strain can be recovered while the plastic strain is not reversible and will remain in the section after cutting is complete.

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