Damage evolution and thermal coupled effects in inelastic solids

Vaz, M.; Muñoz-Rojas, Pablo A.; Lange, M. R.

doi:10.1016/j.ijmecsci.2011.03.001

Cited by 26 publications

(16 citation statements)

References 55 publications

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“…On the other hand, the computational cost is relatively small due to the sequential solution of the mechanical and thermal problems. In order to improve the accuracy of the numerical solution, another coupling strategy has been developed, usually called iterative coupling algorithm [4]. In this case, the interchange of information between the two fields is performed through an iterative procedure, aiming to reach the fully converged solution.…”

Section: Thermomechanical Couplingmentioning

confidence: 99%

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Automatic correction of the time step in implicit simulations of thermomechanical problems

et al. 2016

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Abstract. The accurate numerical modelling of thermomechanical systems is important in several industrial applications. A new staggered coupling strategy is proposed to deal with thermo-elasto-plastic problems involving large deformations and rotations, which is combined with an automatic time-step control technique. The proposed strategy is based on the isothermal split approach. It differs from the classical scheme since, in each increment, there are two phases of interchange of information, instead of only one. In each increment, the solution procedure is divided in a prediction phase and a corrector phase, and the interchange of information is performed on both. The proposed strategy was implemented in the in-house quasi-static finite element code DD3IMP. Its performance is analysed and compared with the classical strategy and the iterative one, which are commonly employed for solving thermomechanical problems. The results indicate that the propose strategy contributes for improving the accuracy of the numerical solution, with a reasonable computational cost.

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Section: Thermomechanical Couplingmentioning

confidence: 99%

“…Nevertheless, this strategy is rarely used because the resulting system of equations is very large and can be nonsymmetric, depending on the formulation adopted. These characteristics result in a large computational cost [3][4][5]. Accordingly, the staggered strategy has been developed to reduce this cost.…”

Section: Introductionmentioning

confidence: 99%

Automatic correction of the time step in implicit simulations of thermomechanical problems

et al. 2016

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“…The fatigue damage model of Lemaitre and Chaboche [12] is based on the macroscopic damage phenomena and applicable to many types of loading. Vaz et al [23] present a numerical discussion of the coupled effects between ductile damage and temperature evolution. The effects of the average stress, the stress amplitude, and the nonlinear accumulation of the damage are also included in the (CDM) model.…”

Section: Introductionmentioning

confidence: 99%

A modified nonlinear fatigue damage accumulation model under multiaxial variable amplitude loading

Benkabouche

Guechichi

Amrouche

et al. 2015

International Journal of Mechanical Sciences

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“…In investigating the coupled thermoelasticity problems, Biot [20], Lord and Shulman [21], Youssef [22] introduced a generalized coupled theory with a wave-type heat equation. The coupled thermoplasticity problems are considered in [9,[23][24][25][26][27][28]. The thermomechanical coupling problems, in which the mechanical response of the structure depends upon its thermal behavior and vice-versa is considered by Sloderback and Pajak [24].…”

mentioning

confidence: 99%

“…Vaz Jr. et al [25] modelled the coupled effects between ductile damage and temperature evolution. Thermomechanical coupled boundary value problems are solved by many [23,[26][27][28][29].…”

mentioning

confidence: 99%

On the Thermoplasticity Constitutive Relations for Isoptopic and Transversely Isotropic Materials

Khaldjigitov¹,

Tjprc²

2019

IJMPERD

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The widely used engineering construction materials such as fiber and laminated composite materials are usually under the thermomechanical forces and undergoes thermoplastic deformations. These composites may be considered as a transversely isotropic or orthotropic materials. In this paper, the plasticity constitutive relations for isotropic and transversely isotropy materials proposed in [33]are developed taking into account the temperature and written up the strain and stress space thermoplasticity constitutive relations for aforementioned materials. For simplicity, thermoplasticitytheories are restricted to a small deformations. The usefulness and privileges of the strain space thermoplasticity constitutive relations for the formulation the coupled thermomechanical boundary value problems are discussed.It is found that the strain space thermoplasticity constitutive relations are more convenient for numerical solution of the coupled thermoplasticity boundary value problems as compared to stress space theory. INTRODUCTIONDespite the advances made in the theory of plasticity and thermoplasticity for small and large deformations, the construction of adequate constitutive relations for isotropic and anisotropic materials remains relevant.The investigation of the plastic deformations of transversely isotropic materials under the thermomechanical forces is important in analyzing the material structures. It is well known that fiber and laminated composites may be considered as a transversely isotropic or orthotropic materials. In recent years, in conjunction with the development of composite materials, researchers have proposed various types of plasticity theories for fiber reinforced, laminated and other composite materials. Aboudi [1] proposed the thermomechanical continuum theory for the prediction of the average behavior of unidirectional fiber reinforced graphite-aluminum composite under various types of mechanical and thermal changes. It should be noted that the theory of plasticity for orthotropic bodies was first proposed by Hill [2]. For fiber reinforced composites, Dvorak and Bahei-EL-Din [3] proposed the constitutive relation for transversely isotropic materials. Constitutive relations of inelasticity for anisotropic materials based on tensor function representations was considered in Boehler and Sawczuk [4], Murakami and Sawczuk [5] and Pobedria [6]. In the literature, there are many works on the thermoplasticity constitutive relations for isotropic, anisotropic and Impact Factor (JCC): 7.6197 SCOPUS Indexed Journal NAAS Rating: 3.11 Y < S J + $% and S J = % J M M .The notations and ℎ depend on hardening functions L( , ) and N( , ) which are defined from the experimental stress-strain curves constructed at different temperatures. Note that a set of stress-strain curves at different temperatures makes up the deformation surface for temperature dependent materials (Figure 1). The hardening functions L( , ) and N( , ) for strain space and stress space thermoplasticity theories, are obtained by generalizing the...

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Damage evolution and thermal coupled effects in inelastic solids

Cited by 26 publications

References 55 publications

Automatic correction of the time step in implicit simulations of thermomechanical problems

Automatic correction of the time step in implicit simulations of thermomechanical problems

A modified nonlinear fatigue damage accumulation model under multiaxial variable amplitude loading

On the Thermoplasticity Constitutive Relations for Isoptopic and Transversely Isotropic Materials

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