scholarly journals Correction to: Large deformation plasticity

2021 ◽  
Author(s):  
O. T. Bruhns
Keyword(s):  
Large Deformation ◽  
Deformation Plasticity

A Large Deformation Plasticity Model With Rate Sensitivity and Thermal Softening

1984 ◽  
Vol 106 (4) ◽  
pp. 388-392
Author(s):  
D. W. Nicholson ◽  
K. C. Kiddy
Keyword(s):  
Large Deformation ◽  
Shear Banding ◽  
Small Deformation ◽  
Rate Sensitivity ◽  
Thermal Softening ◽  
Dynamic Loads ◽  
Extended Model ◽  
Adiabatic Shear Banding ◽  
Deformation Plasticity ◽  
Applied Stresses

In this paper, a previously published small deformation constitutive model with rate sensitive plasticity and thermal softening is extended to large deformation. The extended model appears suitable for describing a deleterious thermoplastic process manifested by adiabatic shear banding in materials such as titanium under severe dynamic loads. The nature of the instability admitted by the model is described. Also, calculations are reported on the rapid extension of a titanium strip. For applied stresses several times the yield stress, a deleterious temperature is attained in times of the order of 10−2 s.

Conservative Formulation of Large Deformation Plasticity

1993 ◽  
Vol 46 (12) ◽  
pp. 519-526 ◽  
Author(s):  
James G. Glimm ◽  
Bradley J. Plohr ◽  
David H. Sharp
Keyword(s):  
High Resolution ◽  
Shear Band ◽  
Large Deformation ◽  
Large Deformations ◽  
Shear Bands ◽  
Shock Capturing ◽  
Jump Discontinuity ◽  
Governing Equations ◽  
Conservative Form ◽  
Deformation Plasticity

We explain several ideas which may, either singly or in combination, help achieve high resolution in simulations of large-deformation plasticity. Because of the large deformations, we work in the Eulerian picture. The governing equations are written in a fully conservative form, which are correct for discontinuous as well as continuous solutions. Models of shear bands are discussed. These models describe the internal dynamics of a developed shear band in terms of time-asymptotic states; in other words, the smooth internal structure is replaced by a jump discontinuity, and the shear band evolution is determined by jump relations. This analysis is useful for high resolution numerical methods, including both shock capturing and shock tracking schemes, as well as for the understanding and validation of computations, independently of the underlying method. Preliminary computations, which illustrate the feasibility of these ideas, are presented.

Large-deformation plasticity and fracture behavior of pure lithium under various stress states

2021 ◽  
Vol 208 ◽  
pp. 116730
Author(s):  
Tobias Sedlatschek ◽  
Junhe Lian ◽  
Wei Li ◽  
Menglei Jiang ◽  
Tomasz Wierzbicki ◽  
...  
Keyword(s):  
Large Deformation ◽  
Fracture Behavior ◽  
Deformation Plasticity ◽  
Stress States

A Smoothed Finite Element Method (S-FEM) for Large-Deformation Elastoplastic Analysis

2015 ◽  
Vol 12 (04) ◽  
pp. 1540011 ◽  
Author(s):  
Jun Liu ◽  
Zhi-Qian Zhang ◽  
Guiyong Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Large Deformation ◽  
Computational Efficiency ◽  
Triangular Element ◽  
Fem Method ◽  
Deformation Plasticity ◽  
Smoothed Finite Element Method ◽  
Edge Based ◽  
Element Method

An edge-based smoothed finite element method (ES-FEM) using 3-node triangular element was recently proposed to improve the accuracy and convergence rate of the standard finite element method (FEM) for 2D elastic solid mechanics problems. In this research, ES-FEM is extended to large-deformation plasticity analysis, and a selective edge-based/node-based smoothed finite element (selective ES/NS-FEM) method using 3-node triangular elements is adopted to address volumetric locking problem. Validity of ES-FEM for large-deformation plasticity problem is proved by benchmarks, and numerical examples demonstrate that, the proposed ES-FEM and selective ES/NS-FEM method possess (1) superior accuracy and convergence properties for strain energy solutions comparing to the standard FEM using 3-node triangular element (FEM-T3), (2) better computational efficiency than FEM-T3 and similar computational efficiency as FEM using 4-node quadrilateral element and 6-node quadratic triangular element, (3) a selective ES/NS-FEM method can successfully simulate problems with severe element distortion, and address volumetric locking problem in large-deformation plasticity analysis.

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