A theoretical model for thermo-chemo-mechanically coupled problems considering plastic flow at large deformation and its application to metal oxidation

2021 ◽  
Vol 212 ◽  
pp. 107-123
Author(s):  
Bao Qin ◽  
Zheng Zhong
Keyword(s):  
Theoretical Model ◽  
Large Deformation ◽  
Plastic Flow ◽  
Coupled Problems ◽  
Metal Oxidation

A penalty function approach to problems of plastic flow of metals with large surface deformations

1975 ◽  
Vol 10 (3) ◽  
pp. 180-183 ◽  
Author(s):  
O C Zienkiewicz ◽  
P N Godbole
Keyword(s):  
Finite Element ◽  
Large Deformation ◽  
Plastic Flow ◽  
Penalty Function ◽  
Iterative Solution ◽  
Function Approach ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Penalty Function Approach

An iterative solution permits determination of velocities in plastic flow using a finite element formulation. By updating co-ordinates very large deformation can be followed.

scholarly journals Large bending deformation of cantilevered soft beam under external load: the applicability of inextensibility assumption of the centerline

2020 ◽  
Vol 01 ◽  
Author(s):  
Wei Chen ◽  
Lin Wang
Keyword(s):  
Theoretical Model ◽  
Large Deformation ◽  
External Load ◽  
Soft Materials ◽  
Concentrated Force ◽  
Proposed Model ◽  
Yeoh Model ◽  
Deformation Behaviors ◽  
Minimum Potential ◽  
External Loads

Background: Soft materials including elastomers and gels are pervasive in biological systems and technological applications. Whereas the deformation of soft structures may be extremely large, it is still challenging to theoretically model and predict the large-deformation behaviors of soft structures. Objective: The goal of this work is to give a general theoretical model to investigate the large deformation of a cantilevered soft beam under various loads. In particular, the applicability condition of the inextensibility assumption of the beam centerline is explored. Methods: The governing equations of the soft beam system are derived according to the principle of minimum potential energy. In order to investigate the large deformation of the soft beam, the curvature of the beam centerline is exactly considered and Yeoh model is utilized to account for the hyperelasticity of the soft beam. The derived ordinary differential equations are discretized by Galerkin method and then solved by iterative algorithm. Results: Based on the proposed theoretical model, large bending deformations of the cantilevered soft beam are analyzed for various types of external loads including uniformly distributed force, tip-end concentrated force and non-uniformly distributed force. Different values of the amplitude of the external loads are considered and fruitful deformed configurations are presented. Conclusion: The proposed model is able to study the large deformation of the soft beam effectively. The inextensibility assumption of the beam centerline is applicable when the amplitude of the external load is relatively small. When the amplitude of the external load is sufficiently large, the extension of the centerline needs to be considered.

Anisotropic Elastoplastic Behavior of SiCp/Al Composite Sheets

2004 ◽  
Author(s):  
D. A. Skolnik ◽  
H. T. Liu ◽  
L. Z. Sun ◽  
H. C. Wu
Keyword(s):  
Theoretical Model ◽  
Plastic Flow ◽  
Experimental Research ◽  
Testing Machine ◽  
Material Testing ◽  
Elastoplastic Behavior ◽  
Al Composite ◽  
Heat Treated ◽  
Universal Material Testing Machine ◽  
Material Testing Machine

Experimental research was performed to study the anisotropic elastoplastic responses of SiCp/Al composite sheets. To investigate the effects of the composite processing, two sets of specimens cut from the heat-treated and as-rolled composite sheets are tested using a universal material-testing machine. The dependence of the strength, plastic flow, and strain ratios on the rolling angles are discussed in detail. To model the phenomena observed in the experiments, a micromechanics based damage framework is developed. The interfacial debonding and the rolling angle’s effects are integrated into this model. Good consistence between the experimental results and the analytical predications shows the validity of the theoretical model.

A Model for Analyzing Suicide Prevention

Crisis ◽  
2000 ◽  
Vol 21 (2) ◽  
pp. 80-89 ◽  
Author(s):  
Maila Upanne
Keyword(s):  
Risk Factors ◽  
Theoretical Model ◽  
Protective Factors ◽  
Suicide Prevention ◽  
Suicide Risk ◽  
Practical Work ◽  
Individual Risk ◽  
Self Assessment ◽  
Prevention Project ◽  
Individual Risk Factors

This study monitored the evolution of psychologists' (n = 31) conceptions of suicide prevention over the 9-year course of the National Suicide Prevention Project in Finland and assessed the feasibility of the theoretical model for analyzing suicide prevention developed in earlier studies [ Upanne, 1999a , b ]. The study was formulated as a retrospective self-assessment where participants compared their earlier descriptions of suicide prevention with their current views. The changes in conceptions were analyzed and interpreted using both the model and the explanations given by the subjects themselves. The analysis proved the model to be a useful framework for revealing the essential features of prevention. The results showed that the freely-formulated ideas on prevention were more comprehensive than those evolved in practical work. Compared to the earlier findings, the conceptions among the group had shifted toward emphasizing a curative approach and the significance of individual risk factors. In particular, greater priority was focused on the acute suicide risk phase as a preventive target. Nonetheless, the overall structure of prevention ideology remained comprehensive and multifactorial, stressing multistage influencing. Promotive aims (protective factors) also remained part of the prevention paradigm. Practical working experiences enhanced the psychologists' sense of the difficulties of suicide prevention as well as their criticism and feeling of powerlessness.

Do self-compassion and self-coldness distinctly relate to distress and well-being? A theoretical model of self-relating.

2018 ◽  
Vol 65 (3) ◽  
pp. 346-357 ◽  
Author(s):  
Rachel E. Brenner ◽  
David L. Vogel ◽  
Daniel G. Lannin ◽  
Kelsey E. Engel ◽  
Andrew J. Seidman ◽  
...  
Keyword(s):  
Theoretical Model ◽  
Well Being ◽  
Self Compassion
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