Post-Critical Plastic Deformation Pattern in Incrementally Nonlinear Materials at Finite Strain

2000 ◽  
pp. 333-384 ◽  
Author(s):  
K. Thermann
Keyword(s):  
Plastic Deformation ◽  
Finite Strain ◽  
Deformation Pattern ◽  
Nonlinear Materials

Elastic-Plastic Deformation at Finite Strains

1969 ◽  
Vol 36 (1) ◽  
pp. 1-6 ◽  
Author(s):  
E. H. Lee
Keyword(s):  
Plastic Deformation ◽  
Irreversible Process ◽  
Finite Strain ◽  
Present Theory ◽  
Thermomechanical Coupling ◽  
Large Strains ◽  
Previous Theory ◽  
Elastic Plastic ◽  
Strain Components ◽  
Classical Plasticity

In some circumstances, elastic-plastic deformation occurs in which both components of strain are finite. Such situations fall outside the scope of classical plasticity theory which assumes either infinitesimal strains or plastic-rigid theory for large strains. The present theory modifies the kinematics to include finite elastic and plastic strain components. For situations requiring this generalization, dilatational influences are usually significant including thermomechanical coupling. This is introduced through the consideration of two coupled thermodynamic systems: one comprising thermoelasticity at finite strain and the other the irreversible process of dissipation and absorption of plastic work. The present paper generalizes a previous theory to permit arbitrary deformation histories.

A General Solution for the Pressurized Elastoplastic Tube

1992 ◽  
Vol 59 (1) ◽  
pp. 20-26 ◽  
Author(s):  
David Durban ◽  
Michael Kubi
Keyword(s):  
General Solution ◽  
Finite Strain ◽  
Cylindrical Tube ◽  
Yield Function ◽  
Material Behavior ◽  
Deformation Pattern ◽  
Perfectly Plastic ◽  
Plastic Phase ◽  
Thin Walled ◽  
Elastic Perfectly Plastic

The problem of a thick-walled cylindrical tube subjected to internal pressure is investigated within the framework of continuum plasticity. Material behavior is modeled by a finite strain elastoplastic flow theory based on the Tresca yield function. The deformation pattern is restricted by the plane-strain condition but arbitrary hardening and elastic compressibility are accounted for. A general solution is given in terms of quadratures. The analysis also includes treatment of a second plastic phase, characterized by corner relations, that may develop at the inner boundary. It is shown that the interface between the two plastic regions moves initially outwards and then, beyond a certain strain level, it moves back inwards. Some useful and simple results are given for thin-walled tubes of hardening materials and for thick-walled elastic/perfectly plastic tubes.

An Explicit, Accurate Approach Toward Modeling Irrecoverable Deformation Effects of Shape Memory Alloys

2020 ◽  
Vol 831 ◽  
pp. 15-19
Author(s):  
Lin Zhan ◽  
Si Yu Wang ◽  
Hui Feng Xi ◽  
Heng Xiao
Keyword(s):  
Phase Transition ◽  
Plastic Deformation ◽  
Shape Memory ◽  
Finite Strain ◽  
Uniaxial Stress ◽  
Spline Functions ◽  
Flow Equations ◽  
Loading And Unloading ◽  
A New Technique ◽  
Strain Responses

Finite strain plastic deformation effects of SMAs are simulated based on finite strain elastoplastic J2-flow equations, in a direct sense with no reference to any additional variables for phase transition mechanisms. Uniaxial loading-unloading curves of any given shape may be exactly reproduced as uniaxial stress-strain responses of these equations in each loading-unloading cycle. A new technique for combining linear spline functions into a unified, smooth interpolating function is proposed toward the purpose of explicitly, accurately fitting any given test data for both loading and unloading cases.

scholarly journals A Study on the ‘Compatiblity Assumption’ of Contemporary Multiplicative Plasicity Models

2019 ◽  
Vol 69 (2) ◽  
pp. 15-26
Author(s):  
Écsi Ladislav ◽  
Jerábek Róbert ◽  
Élesztős Pavel
Keyword(s):  
Plastic Deformation ◽  
Finite Strain ◽  
The Body ◽  
Material Models ◽  
Plastic Behaviour ◽  
Deformable Bodies ◽  
Intermediate Configuration ◽  
Points Of View ◽  
Proper Material ◽  
Generally True

AbstractContemporary multiplicative plasticity models are now generally accepted as “proper material models” for modelling plastic behaviour of deformable bodies within the framework of finite-strain elastoplasticity. The models are based on the assumptions that the intermediate configuration of the body is stress-free or locally unstressed, for which no plastic deformation exists that meets the conditions of compatibility. The assumption; however, has never really been questioned nor justified, but was rather taken as an axiom and therefore considered to be generally true. In this study, we take a critical look at the assumption from both, physical and mathematical points of view, in order to investigate whether contemporary multiplicative plasticity models are indeed continuum based and if there are alternatives to them.

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