Rigid–plastic limit analysis of discontinuous media by a finite element method

1989 ◽  
Vol 26 (3) ◽  
pp. 369-374 ◽  
Author(s):  
T. Tamura ◽  
R. Y. S. Pak
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Bearing Capacity ◽  
Limit Analysis ◽  
Constitutive Law ◽  
Rigid Plastic ◽  
Element Analysis ◽  
Plastic Limit Analysis ◽  
Surface Foundation ◽  
Element Method

This paper describes the formulation of a finite element method by which a limit analysis of a rigid–plastic medium with discontinuities can be performed. The Drucker–Prager criterion is adopted to describe the yielding of the medium, while the Mohr–Coulomb law is used to model the interface of the discontinuous velocity fields. Both associated and nonassociated flow rules are considered in the constitutive characterization. Results are presented to illustrate the influence of discontinuities on the bearing capacity of a surface foundation. Key words: bearing capacity, constitutive law, dilatancy, discontinuity, limit, plasticity, finite element analysis.

scholarly journals BEARING CAPACITY ANALYSIS OF EMBEDDED FOUNDATION BY RIGID PLASTIC FINITE ELEMENT METHOD

2013 ◽  
Vol 19 (43) ◽  
pp. 875-880
Author(s):  
Kazuhiro KANEDA ◽  
Tomohiro TANIKAWA ◽  
Junji HAMADA ◽  
Satoru OHTSUKA ◽  
Masamichi AOKI
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Bearing Capacity ◽  
Capacity Analysis ◽  
Rigid Plastic ◽  
Embedded Foundation ◽  
Element Method

Finite Element Simulation for Forging Process Using Euler’s Fixed Meshing Method

2008 ◽  
Vol 575-578 ◽  
pp. 1139-1144 ◽  
Author(s):  
Chan Chin Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Large Deformation ◽  
The Body ◽  
Rigid Plastic ◽  
Element Analysis ◽  
Forging Process ◽  
Deformation Problem ◽  
Element Method

A simulator based on rigid-plastic finite element method is developed for simulating the plastic flow of material in forging processes. In the forging process likes backward extrusion, a workpiece normally undergoes large deformation around the tool corners that causes severe distortion of elements in finite element analysis. Since the distorted elements may induce instability of numerical calculation and divergence of nonlinear solution in finite element analysis, a computational technique of using the Euler’s fixed meshing method is proposed to deal with large deformation problem by replacing the conventional way of applying complicated remeshing schemes when using the Lagrange’s elements. With this method, the initial elements are generated to fix into a specified analytical region with particles implanted as markers to form the body of a workpiece. The particles are allowed to flow between the elements after each deformation step to show the deforming pattern of material. The proposed method is found to be effective in simulating complicated material flow inside die cavity which has many sharp edges, and also the extrusion of relatively slender parts like fins. In this paper, the formulation of rigid-plastic finite element method based on plasticity theory for slightly compressible material is introduced, and the advantages of the proposed method as compared to conventional one are discussed.

scholarly journals Limit Analysis of Soil Structure by Rigid Plastic Finite Element Method

1984 ◽  
Vol 24 (1) ◽  
pp. 34-42 ◽  
Author(s):  
Takeshi Tamura ◽  
Shoichi Kobayashi ◽  
Tetsuya Sumi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Limit Analysis ◽  
Soil Structure ◽  
Rigid Plastic ◽  
Element Method
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