Modeling constitutive behavior of particulate composites undergoing damage

Ravichandran, G.; Liu, C.T.

doi:10.1016/0020-7683(94)00172-s

Cited by 65 publications

(28 citation statements)

References 15 publications

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“…Application of strain in the last region of the curve is only to stretch the PMMA and enlarge existing cavities, which is believed to consequently cause the volume growth during loading. Such phenomenon has been studied by many researchers such as Ravichandran and Liu (1995), Kwon et al (1997Kwon et al ( , 1998. These studies investigated the nonlinear constitutive response of a damaged particulate composite in terms of the change in volume dilation and showed that the stress-strain response is nearly linear when there is little or no volume dilatation and the non-linearity sets in once the dilatation becomes significant.…”

Section: Failure Mechanismmentioning

confidence: 99%

Failure Mechanisms in PMMA/ATH Acrylic Casting Dispersion

Nie¹,

Basaran

Hutchins³

et al. 2006

Journal of the Mechanical Behavior of Materials

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Acrylic casting dispersion is used to fabricate particulate composites such as poly-methyl methacrylate (PMMA) filled with a fine dispersion alumina trihydrate (ATH). This composite is subjected to severe temperature variations during in-service conditions, giving rise to high thermal stresses which lead to failure by cracking. The influence of the interfacial bond strength between a particle and the matrix on the failure mechanism of acrylic casting dispersion has been investigated using in situ observations during tensile and compressive loadings. Experiments show that the failure in pure tension occurs differently than in flexure loading where the failure process is believed to be more complex. During tensile loading, it is observed that macroscopic fracture is initiated in the clusters of the reinforcing particles because of the strong interfacial bonding strength between the filler particles and matrix. For weak interfacial bond strength, the macroscopic fracture is initiated by separation of filler agglomerates from the matrix.

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Section: Failure Mechanismmentioning

confidence: 99%

Failure Mechanisms in PMMA/ATH Acrylic Casting Dispersion

Nie¹,

Basaran

Hutchins³

et al. 2006

Journal of the Mechanical Behavior of Materials

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“…Drozdov and Dorfmann [18] also used the network theory of rubber elasticity to capture the non-linear equilibrium response of filled and unfilled elastomers. Various homogenized models have been also proposed to simulate the damage evolution: see, for example, the analysis presented by Farris [19], Schapery [20], Ha and Schapery [21], Simo [22], Ravichandran and Liu [23].…”

Section: Introductionmentioning

confidence: 99%

Multiscale modelling of particle debonding in reinforced elastomers subjected to finite deformations

Matouš

Geubelle

2005

Numerical Meth Engineering

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SUMMARYInterfacial damage nucleation and evolution in reinforced elastomers subjected to finite strains is modelled using the mathematical theory of homogenization based on the asymptotic expansion of unknown variables. The microscale is characterized by a periodic unit cell, which contains particles dispersed in a blend and the particle matrix interface is characterized by a cohesive law. A novel numerical framework based on the perturbed Petrov-Galerkin method for the treatment of nearly incompressible behaviour is employed to solve the resulting boundary value problem on the microscale and the deformation path of a macroscale particle is predefined as in the micro-history recovery procedure. A fully implicit and efficient finite element formulation, including consistent linearization, is presented. The proposed multiscale framework is capable of predicting the non-homogeneous microfields and damage nucleation and propagation along the particle matrix interface, as well as the macroscopic response and mechanical properties of the damaged continuum. Examples are considered involving simple unit cells in order to illustrate the multiscale algorithm and demonstrate the complexity of the underlying physical processes.

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“…when I*'0) is probably not well quanti"ed. We estimate that this dependence is underestimated by (15), as suggested by the analysis of Ravichandran [7].…”

Section: Rubber-like Viscoelasticitymentioning

confidence: 90%

A constitutive model for the dynamic and high‐pressure behaviour of a propellant‐like material: Part II: Model development and applications

Trumel

Dragon

Fanget

et al. 2001

Num Anal Meth Geomechanics

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SUMMARYThis paper presents the second part of a work that aims at developing a mechanical model for the behaviour of propellant-like materials under high con"ning pressure and strain rate. The model is to be employed to determine the temperature rise due to mechanical dissipation during a dynamic penetration event. Using the kinematical and thermodynamic background derived in the "rst part, a viscoelastic}viscoplastic}compac-tion model is put forward and identi"ed. Viscoelasticity and compaction refer to the elastomeric nature of the material, while viscoplasticity, including implicit damage through dilatancy, re#ects its granular nature. Some numerical exercises are performed, in view of determining the major model forces and weaknesses, and of assessing the numerical algorithm robustness. A penetration event is preliminarily simulated, and a temperature rise "eld predicted. Necessary model improvements are "nally discussed, together with several ways of research for a longer term approach.

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Modeling constitutive behavior of particulate composites undergoing damage

Cited by 65 publications

References 15 publications

Failure Mechanisms in PMMA/ATH Acrylic Casting Dispersion

Failure Mechanisms in PMMA/ATH Acrylic Casting Dispersion

Multiscale modelling of particle debonding in reinforced elastomers subjected to finite deformations

A constitutive model for the dynamic and high‐pressure behaviour of a propellant‐like material: Part II: Model development and applications

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