Rate (time)-dependent deformation behavior: an overview of some properties of metals and solid polymers

Krempl, E.

doi:10.1016/s0749-6419(03)00002-0

Cited by 167 publications

(66 citation statements)

References 28 publications

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“…It is common to use phenomenological approaches to formulate the irregular inelastic deformation of glassy polymers (Khan & Zhang 2001;Krempl & Khan 2003); however, in this work, the thermodynamic framework is incorporated to describe different mechanisms associated with the irregular inelastic deformation of glassy polymers. A detailed discussion on these internal mechanism changes in polymeric networks during their inelastic deformations is given by Boyce and co-workers (Boyce et al 1988a(Boyce et al ,b, 1989 This formulation results in the most generalized coupled constitutive equations, which incorporate all possible phenomena for each process such as kinematic and isotropic hardening/softening.…”

Section: Thermodynamics Of Coupled Viscoplasticity Damage and Healingmentioning

confidence: 99%

A theory of anisotropic healing and damage mechanics of materials

Voyiadjis

Shojaei

et al. 2011

Proc. R. Soc. A.

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Self-healing smart materials have emerged into the research arena and have been deployed in industrial and biomedical applications, in which the modelling techniques and predicting schemes are crucial for designers to optimize these smart materials. In practice, plastic deformation is coupled with damage and healing in these systems, which necessitates a coupled formulation for characterization. The thermodynamics of inelastic deformation, damage and healing processes are incorporated here to establish the coupled constitutive equations for healing materials. This thermodynamic consistent formulation provides the designers with the ability to predict the irregular inelastic deformation of glassy polymers and damage and healing patterns for a highly anisotropic self-healing system. Moreover, the lack of a physically consistent method to measure and calibrate the healing process in the literature is addressed here. Within the continuum damage mechanics (CDM) framework, the physics of damage and healing processes is used to introduce the healing effect into the CDM concept and a set of two new anisotropic damage-healing variables are derived. These novel damage-healing variables together with the proposed thermodynamic consistent coupled theory constitute a well-structured method for accurately predicting the degradation and healing mechanisms in material systems. The inelastic and damage response for a shape memory polymer-based self-healing system is captured herein. While the healing experimental results are limited in the literature, the proposed theory provides the mathematical competency to capture the most nonlinear responses.

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Section: Thermodynamics Of Coupled Viscoplasticity Damage and Healingmentioning

confidence: 99%

A theory of anisotropic healing and damage mechanics of materials

Voyiadjis

Shojaei

et al. 2011

Proc. R. Soc. A.

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“…This is the case for all the papers cited hereabove dealing with incremental type postulates of plasticity, and also those considering some extensions of previous works (Chen andWang 2002, Cleja-Tigoiu 2003), and those dealing with modelling of different effects in plasticity (Chun et al 2002, Chiarelli et al 2003, Kang et al 2003, Kaczmarek 2003, Zhang and Lee 2003, Stoughton 2002. This is also the case for papers dealing with more general frameworks than plasticity, for instance, rate-independent dissipative materials (Houlsby and Purzin 2000), damage processes (Taylor et al 2002, Brünig 2002, Gupta and Burgström 2002, Naboulsi and Palazotto 2003, rate-dependent deformations (Henry and Haslach 2000, Gurtin 2003, Krempl and Khan 2003, Scheidler and Wrighte 2003, Haupt and Kersten 2003, and more general frameworks of dissipative processes (Ziegler 1983). …”

Section: Introductionmentioning

confidence: 96%

A constitutive inequality in plasticity involving left-hand and right-hand rates

Pouya¹

2004

International Journal of Plasticity

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An incremental inequality for elastic-plastic materials involving right-hand (forward) and left-hand (backward) stress and strain rates is presented. This inequality is demonstrated as a theorem for standard elastic-plastic materials having a symmetric hardening matrix and also for generalized standard materials (Halphen and Nguyen 1975). It imposes some restrictions on the stress and strain rate discontinuities of these materials. Some applications of this inequality to deformation models of crystals and to micro-macro models are given. It is shown that this inequality generalizes some constitutive inequalities in plasticity and in particular the bi-incremental form of the normality flow rule (Hill 1967(Hill , 1968b. It includes and generalizes also some results of the Petryk (1989) inequality. Finally, it is shown that this inequality can be adopted as a postulate for elastic-plastic materials and that, in this case, it synthesizes the postulates of symmetry of the elastic compliant tensor, normality flow rule and, for models containing a hardening matrix and normal internal variables, the local symmetry of this matrix.

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“…Examples of such models normally used for glassy polymers are the models developed by Argon, Parks, Boyce, Arruda, and co-workers [1][2][3][4][5][6][7][8][9][10][11][12][13], those developed by Krempl and co-workers [14][15][16][17], by Negahban [18], and others. These models all incorporate the idea of an equilibrium (or back stress), 1 that implies, thermodynamically, that there exist loading conditions under which the relaxation processes stop so the load may be held at constant strain indefinitely, and which the material response would normally tend toward this equilibrium.…”

Section: Introductionmentioning

confidence: 99%

Experimentally Evaluating Equilibrium Stress in Uniaxial Tests

et al. 2009

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Many models use the equilibrium stress, also sometimes known as the back stress, in characterizing the response of both polymeric and non-polymeric materials. We study the characteristics of the equilibrium and show that the tangent modulus and local Poisson's ratio at equilibrium both are rate independent for common modeling assumptions. This fact is used to propose a method based on uniaxial tension or compression to measure the equilibrium stress, and the associated point's tangent modulus and local Poisson's ratio. The method is based on cyclic loading and identification of similar states with vastly different loading rates. The method is used to characterize the equilibrium stress in glassy polycarbonate, and the results are studied in regard to the possible error for such a measurement. The method is faster than most other proposed methods for calculating the equilibrium stress, and provides additional measurements of parameters at equilibrium that are normally not obtained.

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Rate (time)-dependent deformation behavior: an overview of some properties of metals and solid polymers

Cited by 167 publications

References 28 publications

A theory of anisotropic healing and damage mechanics of materials

A theory of anisotropic healing and damage mechanics of materials

A constitutive inequality in plasticity involving left-hand and right-hand rates

Experimentally Evaluating Equilibrium Stress in Uniaxial Tests

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