Damage model for metal–matrix composite under high intensity loading

Naboulsi, Sam; Palazotto, Anthony N.

doi:10.1016/s0749-6419(01)00043-2

Cited by 10 publications

(6 citation statements)

References 39 publications

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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: 80%

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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Section: Introductionmentioning

confidence: 80%

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

Pouya¹

2004

International Journal of Plasticity

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“…where h 0 (y, t),˙ 0 (y, t), g(y, t) are given respectively by (56) and (54), (46) and (52). It remains to express the effective stress in terms of the unknown functions p(y, t) and θ 0 (y, t) and the known boundary conditions.…”

Section: Reference Solution and Computational Considerationsmentioning

confidence: 99%

“…For the solution of this problem, a Fortran code has been constructed with the help of routines of Numerical Recipes [51]. Equations (52), (46), (53), (58) and (57) give the fully implicit backward Euler scheme [8,16] t+ t g 2 − t+ t p 2 − t+ t q 2 + t+ t p t+ t q = 0, (60)…”

Section: Reference Solution and Computational Considerationsmentioning

confidence: 99%

“…Thus it seems interesting to follow the onset and evolution of the localization regime leading to failure of these materials to reveal its characteristics and provide quantitative results concerning critical time, critical load or critical mode of failure in the context of plastic analysis. Recently, a damage model for metal-matrix composite was proposed in [45,46] while in [22] the adiabatic shearing of non-homogeneous thermoviscoplastic materials was studied. Havner [32] considered the inhomogeneity represented by a single modulus varying slightly with position.…”

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confidence: 99%

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Biaxial Loading of Continuously Graded Thermoviscoplastic Materials

2006

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In this paper we study the problem of biaxial loading of a sheet made of a continuously graded thermoviscoplastic material. The material phases are supposed to exhibit thermal softening, strain-rate sensitivity and strain hardening, continuously varying along all directions. First we formulate the plane stress problem of a non-homogeneous material and study the behavior of temperature, strain and strain-rate related to inhomogeneities of thermomechanical parameters and geometrical defects. Next we present the "effective" instability analysis of Dudzinski and Molinari (Int J Solids Struc 1991), adapted to the non-homogeneous case, to define the critical conditions and select the localization modes by studying the overall strains for which a certain level of instability growth is developed. Finally, we present the numerical simulation of the fully non-linear dynamical problem. Several aspects of the deformation process and the related role of non-homogeneities are analyzed: onset of strain and temperature localization, ductility, contours of temperature increase as detectors of instability, interplay with initial defects, multiple necking, decrease of thinning-rate, variation of the multiple necking due to boundary conditions.

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“…[14], Feng et al [22], Gupta and Ding [27], Johnson and Beissel [32], Lee and Yoo [36], Miller and Colella [45], Naboulsi and Palazotto [47], Roeder and Sun [53], Sherman [56], Simha et al [57], Song et al [60], Stevens and Batra [61], Zaera and Sanchez [75], Xiao [74], and others.…”

Section: Introductionmentioning

confidence: 99%

Numerical Modelling of Contact Elastic-Plastic Flows

Bessonov

Golovashchenko

Volpert

2009

Math. Model. Nat. Phenom.

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Abstract. Wilkins' method has been successfully used since early 60s for numerical simulation of high velocity contact elastic-plastic flows. The present work proposes some effective modifications of this method including more sophisticated material model including the Baushinger effect; modification of the algorithm based on correction of the initial configuration of a solid; a contact algorithm based on the idea of a mild contact.

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Damage model for metal–matrix composite under high intensity loading

Cited by 10 publications

References 39 publications

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

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

Biaxial Loading of Continuously Graded Thermoviscoplastic Materials

Numerical Modelling of Contact Elastic-Plastic Flows

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