...L. Qiao; L. H. He; K. W. Ding An infinite elastically isotropic plate containing a circular inclusion with dilative eigenstrain is studied, and the critical condition for the axisymmetric buckling driven by the eigenstrain is derived analytically. 08 05 2010 07 07 2010 29 07 2010...

...Tong Hui; Yi-Heng Chen This paper deals with the M -integral analysis for a nano-inclusion in plane elastic materials under uni-axial or bi-axial loadings. Based on previous works ( Gurtin and Murdoch, 1975, “A Continuum Theory of Elastic Material Surfaces,” Arch. Ration. Mech. Anal., 57, pp. 291...

...Tong Hui; Yi-Heng Chen In this paper, the two state M -integral is extended from macrofacture to nanodefect mechanics. The question as to why the M -integral for a nanovoid or a soft nano-inclusion might be negative is clarified. It is concluded that the surface tension plays a dominant role...

...X. Wang; E. Pan We investigate a partially debonded circular elastic inclusion embedded in a particular class of harmonic materials by using the complex variable method under finite plane-strain deformations. A complete (or full-field) solution is derived. It is observed that the stresses...

... of the solution for the same singularities interacting with a coated circular inclusion. The obtained solutions have series forms independent of any specific information about singularities, and thus they can be interpreted as general solutions for a variety of singularities. deformation elasticity...

...Q. H. Fang; Y. W. Liu; P. H. Wen A three-phase composite cylinder model is utilized to study the interaction between screw dislocations and nanoscale inclusions. The stress boundary condition at the interface between nanoscale inclusion and the matrix is modified by incorporating surface/interface...

...Thushan C. Ekneligoda; Robert W. Zimmerman The boundary perturbation method is used to solve the problem of a nearly circular rigid inclusion in a two-dimensional elastic medium subjected to hydrostatic stress at infinity. The solution is taken to the fourth order in the small parameter epsilon...

...X. Wang; E. Pan; A. K. Roy The problem of a functionally graded plane with a circular inclusion under a uniform antiplane eigenstrain is investigated, where the shear modulus varies exponentially along the x direction. By introducing a new function which satisfies the Helmholtz equation...

... with N . Bowles , C. Q. , and Schijve , J. , 1973 , “ The Role of Inclusions in Fatigue Crack Initiation in an Aluminum Alloy ,” Int. J. Fract. 0376-9429 10.1007/BF00041859 , 9 , pp. 171 – 179 . Broek , D. , 1986 , Elementary Fracture Mechanics , 4th ed...

...A.-V. Phan; L. J. Gray; T. Kaplan Stress intensity factor calculations for crack-inclusion interaction problems are presented. The problems considered include the benchmark problems first discussed by Helsing and Jonsson (2002, ASME J. Appl. Mech, 69, pp. 88–90) , and subsequently by Wang...

... significantly improves the efficiency of modeling continuous inclusions with arbitrarily-shaped cross sections of a graded material’s microstructure previously approximated using discretization based on rectangular subcells, as well as modeling of structural components with curved boundaries. Part I...

... of continuous inclusions with arbitrarily-shaped cross sections of a graded material’s microstructure, previously approximated using discretizations by rectangular subcells. This was accomplished through a parametric formulation based on mapping of a reference square subcell onto a quadrilateral subcell...

...Jeng-Tzong Chen; An-Chien Wu In this paper, we derive the null-field integral equation for an infinite medium containing circular holes and/or inclusions with arbitrary radii and positions under the remote antiplane shear. To fully capture the circular geometries, separable expressions...

...- (2D) and three-dimensional (3D) deformations, wherein we derive closed-form formulae for Cosserat moduli via homogenization of a dilute suspension of elastic spherical inclusions in 3D (and circular cylindrical inclusions in 2D) embedded in an isotropic elastic matrix. It is shown...

...Kyeong-Jin Yang; Ki-Young Lee; Jong-Hwa Chang Defects such as inhomogeneities, inclusions with eigenstrains, and dislocations in an infinite orthotropic Kirchhoff plate are analyzed. These results could be applied to thin plate problems regardless of whether the plate is homogeneous...

...P. Sharma; L. T. Wheeler Using a tensor virial method of moments, an approximate solution to the relaxed elastic state of embedded ellipsoidal inclusions is presented that incorporates surface∕interface energies. The latter effects come into prominence at inclusion sizes in the nanometer range...

...Ying Zhao; Minoru Taya Two models for predicting the stress-strain curve of porous NiTi under compressive loading are presented in this paper. Porous NiTi shape memory alloy is considered as a composite composed of solid NiTi as matrix and pores as inclusions. Eshelby’s equivalent inclusion method...

...Min-Zhong Wang; Bai-Xiang Xu In 1957, Eshelby proved that the strain field within a homogeneous ellipsoidal inclusion embedded in an infinite isotropic media is uniform, when the eigenstrain prescribed in the inclusion is uniform. This property is usually referred to as the Eshelby property...

...P. Sharma; S. Ganti surface energy inclusions tensors nanostructured materials Equations 21b , 21c and 22b , 22c in the published paper contain typographical errors. The error in Eqs. 21b , 21c involves a switching of the sign and a factor of 2 while the error in Eqs. 22b , 22c...

...Y. J. Liu; N. Nishimura; Y. Otani; T. Takahashi; X. L. Chen; H. Munakata A new boundary element method (BEM) is developed for three-dimensional analysis of fiber-reinforced composites based on a rigid-inclusion model. Elasticity equations are solved in an elastic domain containing inclusions which...