scholarly journals Distribution of Zones of Elastic and Plastic Deformation Appearing in a Layer under Compression by Two Rigid Parallel Plates

2001 ◽  
Vol 14 (4) ◽  
pp. 492-496
Author(s):  
Olga V. Gomonova ◽  
Keyword(s):  
Plastic Deformation ◽  
Conservation Laws ◽  
Plane Strain ◽  
Strain State ◽  
Plastic Material ◽  
Yield Criterion ◽  
Parallel Plates ◽  
Plane Strain State ◽  
Elastic And Plastic Deformation

A problem of distribution of zones of elastic and plastic deformation appearing in a layer of elasto-plastic material under compression by two rigid parallel plates, for the case of plane strain state with Tresca – Saint-Venant yield criterion is solved. The technique based on application of conservation laws is used to solve the problem

scholarly journals A method of finding stress solutions for a general plastic material under plane strain and plane stress conditions

2020 ◽  
Vol 37 ◽  
pp. 100-107
Author(s):  
Sergei Alexandrov ◽  
Yeau-Ren Jeng
Keyword(s):  
Coordinate System ◽  
Plane Strain ◽  
Principal Stress ◽  
Plane Stress ◽  
Plastic Material ◽  
Yield Criterion ◽  
Boundary Value ◽  
Equilibrium Equations ◽  
Geometric Problem ◽  
Principal Lines

Abstract A general plastic material under plane strain and plane stress is classified by a yield criterion that depends on both the first and second invariants of the stress tensor. The yield criterion together with the stress equilibrium equations forms a statically determinate system. This system is investigated in the principal lines coordinate system (i.e. the coordinate curves of this coordinate system coincide with trajectories of the principal stress directions). It is shown that the scale factors of the principal lines coordinate system satisfy a simple equation. Using this equation, a method for constructing the principal stress trajectories is developed. Therefore, the boundary value problem of plasticity theory reduces to a purely geometric problem. It is believed that the method developed is useful for solving a wide class of boundary value problems in plasticity.

Cyclic Behavior of Saturated Clays in Plane Strain State

2022 ◽  
Vol 148 (1) ◽  
Author(s):  
Tingyu Wu ◽  
Tianhao Zhang ◽  
Chuan Gu ◽  
Jun Wang ◽  
Yuanqiang Cai ◽  
...  
Keyword(s):  
Plane Strain ◽  
Strain State ◽  
Cyclic Behavior ◽  
Plane Strain State
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