Mesomechanics: The microstructure-mechanics connection

Haritos, George; Hager, Joseph W.; Amos, A. K.; Salkind, Michael J.; Wang, A.S.D.

doi:10.1016/0020-7683(88)90007-8

Cited by 58 publications

(26 citation statements)

References 11 publications

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“…The computational model has been implemented adhering to the two-level structuralphenomenological approach, which connects problem solutions on micro-and macroscale [15,16]. According to the approach, the composite volume on microlevel is modeled by three-dimensional continuum which represents the aluminum matrix with embedded silicon carbide particles.…”

Section: Materials and Methodologymentioning

confidence: 99%

Hierarchical modeling of deformation and damage of metal matrix composite under uniaxial loading conditions

Смирнов

Konovalov

Myasnikova

et al. 2017

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. A three-dimensional model for deformation of metal matrix composite with aluminum matrix and silicon carbide reinforcement particles is developed. The model accounts for an internal structure of the composite, as well as rheology of its constituents. The model is further used in numerical simulations in order to study the evolution of stress-strain state parameters in a randomly-chosen composite microstructure fragment under uniaxial tension and compression loading on micro-and macroscale. The parameters include the stress stiffness coefficient, the Lode-Nadai coefficient and equivalent (von Mises) strain. It is found that local deformation regions and internal tensile stress concentration regions appear in the material of composite matrix. Adhering to a phenomenological damage theory, a damage development is computed in the matrix metal. We present damage fields and damage distributions for uniaxial tension and compression.

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Section: Materials and Methodologymentioning

confidence: 99%

Hierarchical modeling of deformation and damage of metal matrix composite under uniaxial loading conditions

Смирнов

Konovalov

Myasnikova

et al. 2017

IOP Conf. Ser.: Mater. Sci. Eng.

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“…dealing with complexly alloyed brass. The computational model leverages the two-level structural-phenomenological approach for coupling the micro and macrolevel material behavior [1]. According to this approach, the material is considered to be represented by a homogeneous isotropic medium with isotropic hardening on the macrolevel.…”

Section: Materials and Methodologymentioning

confidence: 99%

“…Describing structurally heterogeneous materials with the application of a multilevel approach [1][2][3][4][5] makes modeling on the micro-and macrolevel feasible. Such modeling allows us to predict stress concentration regions even on the initial stages of deformation.…”

Section: Introductionmentioning

confidence: 99%

A hierarchial modeling of stress-strain state of multiphase material subjected to uniaxial loading

Смирнов¹,

Konovalov²,

Myasnikova³

et al. 2016

AIP Conference Proceedings

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“…To obtain realistic results from a simulation, it is therefore of crucial importance to have a method at hand for coupling the microscopic and the macroscopic models [1]. These statements can be extended quite naturally to multiple length scales, each of them showing a typical structure and typical mechanisms of deformation and failure [2; 3].…”

Section: Introductionmentioning

confidence: 99%

An iterative method for coupling of deformation and failure mechanisms on different length scales

Gänser

Fischer

Werner

2000

Int. J. Numer. Meth. Engng.

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An iterative method for coupling of numerical simulations on two length scales is presented. The computations on the microscale and on the macroscale are linked via a suitable macroscopic constitutive law. The parameters of this material law depend on the deformation history and are obtained from simulations using microstructurally representative volume elements (RVEs) subjected to strain paths derived from the associated material points in the macroscopic structure. Thus, di erent constitutive parameter sets are assigned to di erent regions of the macrostructure. The microscopic and macroscopic simulations are performed iteratively and interact mutually via the strain paths and the constitutive parameters, respectively. As an example, the strip tension test for a porous material is modelled using the ÿnite element (FE) method. The coupling procedure, the material law and its numerical implementation are described. The method is shown to allow for a detailed simulation of the deformation mechanisms both on the micro-and the macroscale as well as for an assessment of their interactions while keeping the computational e orts reasonably low.

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Mesomechanics: The microstructure-mechanics connection

Cited by 58 publications

References 11 publications

Hierarchical modeling of deformation and damage of metal matrix composite under uniaxial loading conditions

Hierarchical modeling of deformation and damage of metal matrix composite under uniaxial loading conditions

A hierarchial modeling of stress-strain state of multiphase material subjected to uniaxial loading

An iterative method for coupling of deformation and failure mechanisms on different length scales

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