Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions

Weng, George J.

doi:10.1016/0020-7225(84)90033-8

Cited by 603 publications

(162 citation statements)

References 21 publications

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“…The pore strain concentration factor A p ijkl is evaluated using the Mori-Tanaka approximation (Weng, 1984;Benveniste, 1987;Lagoudas et al, 1991):…”

Section: Micromechanics Averaging Methodsmentioning

confidence: 99%

“…Some self-consistent results for spherical pores in an incompressible material are presented by Budiansky (1965). Contrary to this approach, the Mori-Tanaka method initially suggested by Mori and Tanaka (1973) and fur-ther developed by Weng (1984) and Benveniste (1987) takes into account the interactions between the inhomogeneities by appropriately modifying the average stress in the matrix from the applied stress, while the properties of the matrix are associated with the real matrix phase.…”

Section: Introductionmentioning

confidence: 99%

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Modeling of the thermomechanical behavior of porous shape memory alloys

Qidwai

Entchev

Lagoudas

et al. 2001

International Journal of Solids and Structures

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“…The pore strain concentration factor A p ijkl is evaluated using the Mori-Tanaka approximation (Weng, 1984;Benveniste, 1987;Lagoudas et al, 1991):…”

Section: Micromechanics Averaging Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modeling of the thermomechanical behavior of porous shape memory alloys

Qidwai

Entchev

Lagoudas

et al. 2001

International Journal of Solids and Structures

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“…An approximation was obtained to the shear modulus of a particulate composite with an inhomogeneous interphase using a result obtain by Weng [2] for a two phase composite based on the Mori-Tanaka method. As in the bulk modulus case, an exact solution for the effective shear modulus of the inclusion and interphase using power law profile was obtained from a coupled pair of differential equations.…”

Section: Resultsmentioning

confidence: 99%

“…The shear modulus of a two phase composite consisting of isotropic spherical inclusions surrounded by an isotropic matrix has been derived by Weng [2] using the Mori-Tanaka method [3] and a different expression has also been derived by Christensen & Lo [4] using the Generalised Self Consistent (gsc) Scheme. The Generalised Self Consistent method provides the exact solution to the shear problem.…”

Section: Introductionmentioning

confidence: 99%

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A two way particle mapping for calculation of the shear modulus of a spherical inclusion composite with inhomogeneous interphase

Lombardo

2006

ANZIAMJ

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Based on the Mori-Tanaka method and a replacement scheme, a pair of coupled first order differential equations which model the shear modulus of a particulate composite with inhomogeneous interphase are derived. However, the results derived are not exact since the Mori-Tanaka method is not exact for the shear problem. An improved model is therefore proposed which utilises the generalised self consistent scheme for a spherical inclusion that is surrounded by a hypothetical homogeneous interphase layer. To find the properties of this hypothetical interphase layer a mapping of a homogeneous particle onto a two phase composite is utilised. The results are then

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A new finite element for treating plane thermomechanical heterogeneous solids

Meguid

1999

Int. J. Numer. Meth. Engng.

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SUMMARYThis study is concerned with the development and implementation of a new ÿnite element which is capable of treating the problem of interacting circular inhomogeneities in heterogeneous solids under mechanical and thermal loadings. The general form of the element, which is constructed from a cell containing a single circular inhomogeneity in a surrounding matrix, is derived explicitly using the complex potentials of Muskhelishvili and the Laurent series expansion method. The newly proposed eight-noded plane element can be used to treat quite readily the two-dimensional steady-state heat conduction and thermoelastic problems of an elastic circular inclusion embedded in an elastic matrix with di erent thermomechanical properties. Moreover, the devised element may be applied to deal with arbitrarily and periodically located multiple inhomogeneities under general mechanical and thermal loading conditions using a very limited number of elements. The current element also enables the determination of the local and e ective thermoelastic properties of composite materials with relative ease. Three numerical examples are given to demonstrate its versatility, accuracy and e ciency.

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Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions

Cited by 603 publications

References 21 publications

Modeling of the thermomechanical behavior of porous shape memory alloys

Modeling of the thermomechanical behavior of porous shape memory alloys

A two way particle mapping for calculation of the shear modulus of a spherical inclusion composite with inhomogeneous interphase

A new finite element for treating plane thermomechanical heterogeneous solids

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