Micromechanics of defects in solids

Mura, T.

doi:10.1007/978-94-011-9306-1

Cited by 1,291 publications

(1,278 citation statements)

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“…The elastic field at any point in the system can be represented as an integral only over the interface [30] u,,k(x) = (CYII + cin2cr) gUsk(x, x')n; dr' (3.5) where s ' is the arc length along the interface, g, are the dimensionless components of the elastic Green's function tensor, c = C/C,,, uj are the dirnensionless components of the' displacement vector measured with respect to the reference state of stress-free a, and x and x'(sl) locate field and interfacial points, respectively, in the (x,,x2), or (OOl), plane. Summation over repeated indices from 1 to 3 is assumed and the commas denote ~a r t i a l differentiations with respect to the noted index.…”

Section: The Equation For the Equilibrium Shapementioning

confidence: 99%

The equilibrium shape of a misfitting precipitate

Thompson¹,

Su²,

Voorhees³

1994

Acta Metallurgica et Materialia

261

111

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Abstract-We examine the equilibrium morphologies of precipitates with either a tetragonal or purely dilatational misfit in an elastically anisotropic medium with cubic symmetry under conditions of plane strain. We find that particles with a dilatational misfit are nearly spherical at " "Les, take on four-fold symmetric shapes at intermediate sizes and then undergo a supercritical s-breaking bifurcation to two-fold symmetric shapes aligned along the elastically soft directions of the crystal. A tetragonal misfit breaks this four-fold to two-fold supercritical bifurcation when the direction of the tetragonality is coincident with one of the elastically soft directions of the crystal. Such a tetragonal misfit can lead to two-fold equilibrium particle shapes which are local energy minima, or metastable, and in some cases have large negative interfacial curvatures. When the tetragonality is not in an elastically soft direction, the supercritical bifurcation is not broken and the particles can take on unusual diamond-like or S-shaped morphologies.

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Section: The Equation For the Equilibrium Shapementioning

confidence: 99%

The equilibrium shape of a misfitting precipitate

Thompson¹,

Su²,

Voorhees³

1994

Acta Metallurgica et Materialia

261

111

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“…Eigen strain used in the field of micromechanics 14) and seismic moment tensor in the field of seismology 15) are considered to give such characteristics. When microcracking occurs in a medium, its seismic moment tensor can be expressed as…”

Section: Quantification Of Microcracks (Moment Tensor)mentioning

confidence: 99%

THE FORTY-EIGHTH HONDA MEMORIAL LECTURE Nondestructive Evaluation and Smart Materials

Kishi

2003

Mater. Trans.

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Evaluation of microcracking behavior, among other nondestructive evaluations, is important for understanding the fracture of materials and improving their fracture resistance. This paper deals with the principle of the inverse problem analysis of acoustic emission (AE), the method of analyzing the moment tensor of microcracks developed by the author et al., and examples of the method's application. The paper goes on to introduce the concept of the smart materials and structural systems that perform nondestructive evaluation on their own and function to repair and restore defects. The paper also overviews the present state of research and development.

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“…The elastic energy due to this term is calculated by a standard formula of −(V/2)| ij m ij * [11,12] (V is the volume of the inclusion). Thus, the elastic energy due to the second term of Eq.…”

Section: Martensite In a Polycrystalmentioning

confidence: 99%

Martensite structure in polycrystalline Fe–Pd

Kato

Wada

Liang

et al. 2002

Materials Science and Engineering: A

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The martensite structure in polycrystalline Fe-Pd has been examined from a mechanics and a crystallographic point of view. The structure consists of dark and bright plates, parallel to {110}, which, under no stress, exist in an equal amount. A plate has a fine structure, in which a set of twin-related variants adjoining on {110} interfaces is stacked together. That is, the dark plate contains two twin-related variants as does the bright plate. One variant in the bright plate is the same as one in the dark. The others are twin-related. In total, a grain is covered by equal amounts of three variants when transformation is completed. Straining caused by uniaxial loading is evaluated.

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Micromechanics of defects in solids

Cited by 1,291 publications

References 0 publications

The equilibrium shape of a misfitting precipitate

The equilibrium shape of a misfitting precipitate

THE FORTY-EIGHTH HONDA MEMORIAL LECTURE Nondestructive Evaluation and Smart Materials

Martensite structure in polycrystalline Fe–Pd

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