A finite elastic–viscoelastic–elastoplastic material law with damage: theoretical and numerical aspects

Lin, R.C.; Schomburg, U.

doi:10.1016/s0045-7825(02)00649-7

Cited by 50 publications

(27 citation statements)

References 45 publications

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“…By comparing the impact response of an elastic composite sheet with visco-elastic composite sheet, it was shown that the viscoelastic properties of materials improve the ability and resistance of such materials against damages induced by impact loading. The results of this research in conjunction with the similar studies published by Dear and Brown (2003), Bonora et al (2005) and FEM analyses of Lin and Schomburg (2003) suggest that visco-elastic materials are suitable candidate materials as load absorbers in critical industries.…”

Section: Discussionsupporting

confidence: 75%

“…Mechanical impedance of the two elastic and visco-elastic bars was obtained from transfer matrix and validated experimentally. Lin and Schomburg (2003) proposed a finite elasticviscoelastic-elastoplastic material law for damage analysis. They developed a visco-elastic model based on an energy dissipation simulation and then they verified the proposed model with theoretical and numerical studies.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Impact damage simulation in elastic and viscoelastic media

Ghoreishi¹,

Pourhosseini²

2013

10.5267/j.esm

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Collide of two objects or impact, is one of the main damage initiation reasons. In this paper, impact and damage behavior of elastic and visco-elastic bodies are investigated numerically using the finite element analyses. The results showed that visco-elastic materials, distribute stresses to the edge of model after the impact with a solid body. Furthermore, the impact of elastic and visco-elastic composite materials are analyzed and the variations of stress, displacement, damage energy and the damage patterns during a time period are compared for the two material models. The reduction in the values of stress, displacement and damage energy of visco-elastic material is also determined relative to the elastic composite material.

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Section: Discussionsupporting

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Impact damage simulation in elastic and viscoelastic media

Ghoreishi¹,

Pourhosseini²

2013

10.5267/j.esm

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“…The presentation follows the papers of [Reese and Govindjee 1998a] where no damage is accounted to and [Lin and Schomburg 2003] where evolving damage is included. The present thermoviscoelastic modeling allows finite strain and large deviations from the thermodynamic equilibrium state.…”

Section: Finite Strain Thermoviscoelasticity Coupled With Damage Modementioning

confidence: 99%

“…Damage considerations are not included in the finite thermoviscoelasticity of that paper. In the present investigation, evolving damage in finite thermoviscoelastic materials is included by adopting, in the framework of continuum damage mechanics, the derivation of [Lin and Schomburg 2003;Miehe and Keck 2000], according to which the rate of damage depends upon the kinematic arc-length. Isothermal finite viscoelasticity with evolving damage is obtained as a special case, and by neglecting the thermal and viscous effects, the special case of a hyperelastic material with evolving damage is obtained.…”

Section: Introductionmentioning

confidence: 99%

Finite strain micromechanical modeling of thermoviscoelastic matrix composites

Aboudi

2011

J. Mech. Mater. Struct.

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A finite strain micromechanical analysis is generalized for the modeling of thermoviscoelastic matrix composites. The thermoviscoelastic matrix of the composite is represented by a finite thermoviscoelasticity theory that permits (in contrast to finite linear thermoviscoelasticity theories) large deviations away from thermodynamic equilibrium. As a result, it is possible to subject the composite to large thermomechanical loadings. In addition, the possibility of evolving damage in the matrix is included. The derived micromechanical model is applied to investigate the behavior of a thermoviscoelastic rubber-like matrix reinforced by steel fibers in various circumstances. By subjecting the composite to mechanical loading under isentropic conditions, the micromechanical model is employed for the prediction of thermoelastic inversion point at which the Gough-Joule phenomenon at the rubber-like phase occurs. Results are given that show the effect of damage, elevated temperature and viscoelasticity of the matrix on the global response of the composite including its creep and relaxation behavior.

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“…Results in this respect have been given based either on phenomenological models with damage-like variables or micro-mechanical models with macromolecular mechanisms. Representatives in these respects may be found, e.g., earlier in [3] and later in [4][5][6][7][8][9][10][11][12][13][14] for phenomenological models, and in [15][16][17][18][19][20][21][22][23][24][25] for micro-mechanical models. On the other side, the modeling of the shape memory effect for SMPs is relatively recent.…”

Section: Motivation and Introductionmentioning

confidence: 97%

An Explicit Approach Toward Modeling Thermo-Coupled Deformation Behaviors of SMPs

Ding

Yin

et al. 2017

Applied Sciences

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Abstract:A new elastoplastic J 2 -flow models with thermal effects is proposed toward simulating thermo-coupled finite deformation behaviors of shape memory polymers. In this new model, an elastic potential evolving with development of plastic flow is incorporated to characterize the stress-softening effect at unloading and, moreover, thermo-induced plastic flow is introduced to represent the strain recovery effect at heating. It is shown that any given test data for both effects may be accurately simulated by means of direct and explicit procedures. Numerical examples for model predictions compare well with test data in literature.Keywords: shape memory polymers; thermo-coupled effects; finite deformations; stress softening; elastoplasticity models; explicit simulation Motivation and IntroductionIn recent years, much attention has been directed to smart materials such as shape memory alloys (SMAs) and shape memory polymers (SMPs) (cf., e.g., [1,2]). It is of great interest to simulate thermo-coupled deformation behaviors of such materials under both loading and heating. Unlike deformation behavior of SMAs with very small elastic deformations, however, SMPs exhibit complicated thermo-mechanical deformation effects coupled with both temperature and large recoverable deformations. Typical representatives of such effects are the stress softening effect at unloading in the isothermal case and the strain recovery effect at pure heating. The former is characteristic of all kinds of polymers and associated with a number of unloading stress-strain curves of complex shapes that differ from one another and result in different permanent sets, while the latter is unique to SMPs and related to the recovery of a large pre-strain at heating. Usually, recoverable strains of SMPs both at unloading and at heating may be several hundred percents. As such, large thermo-coupled inelastic deformations incorporating large recoverable deformations should be treated toward modeling thermo-mechanical behavior of SMPs, in particular, in simulating both the stress-softening effect at unloading and the large strain recovery effect at heating (i.e., the shape memory effect).Many efforts have been made to establish constitutive models for the purpose of incorporating the above two effects. As a typical isothermal deformation feature for various kinds of polymers, the stress softening effect at unloading was observed earlier and has been simulated for some time. Results in this respect have been given based either on phenomenological models with damage-like variables or micro-mechanical models with macromolecular mechanisms. Representatives in these respects may be found, e.g., earlier in [3] and later in [4][5][6][7][8][9][10][11][12][13][14] for phenomenological models, and in [15][16][17][18][19][20][21][22][23][24][25] for micro-mechanical models. On the other side, the modeling of the shape memory effect for SMPs is relatively recent. Results in this respect and, generally, in the thermo-mechanical behavior of SMPs may be found, e.g., in ...

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A finite elastic–viscoelastic–elastoplastic material law with damage: theoretical and numerical aspects

Cited by 50 publications

References 45 publications

Impact damage simulation in elastic and viscoelastic media

Impact damage simulation in elastic and viscoelastic media

Finite strain micromechanical modeling of thermoviscoelastic matrix composites

An Explicit Approach Toward Modeling Thermo-Coupled Deformation Behaviors of SMPs

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