...Xiaoqing Jin; Leon M. Keer; Qian Wang From the analytical formulation developed by Ju and Sun [1999, “A Novel Formulation for the Exterior-Point Eshelby’s Tensor of an Ellipsoidal Inclusion,” ASME Trans. J. Appl. Mech., 66, pp. 570–574] , it is seen that the exterior point Eshelby tensor...

... accurate expression for work. In particular, the stress increments based on the Jaumann rate of Kirchhoff stress are work-conjugate with the increments of the Hencky (logarithmic) strain tensor but are paired in many finite element programs with the increments of Green’s Lagrangian strain tensor. Although...

...B. R. Kim; H. K. Lee With the help of the I -integrals expressed by Mura ( 1987, Micromechanics of Defects in Solids, 2nd ed., Martinus Nijhoff, Dordrecht ) and the outward unit normal vector introduced by Ju and Sun ( 1999, “A Novel Formulation for the Exterior-Point Eshelby’s Tensor...

... to the generalized energy release rate serving as the thermodynamic driving force for crack propagation and also related to the generalized energy-momentum tensor in a way similar to the material force method. On the basis of the developed theory, the generalized energy release rate method, the generalized J...

.... First, the structure is regarded as a piece of bone and the topology optimization process is viewed as bone remodeling process. Second, a second-rank positive and definite fabric tensor is introduced to express the microstructure and anisotropy of a material point in the design domain. The eigenpairs...

...Shaofan Li; Gang Wang; Roger A. Sauer In this part of the work, the Eshelby tensors of a finite spherical domain are applied to various homogenization procedures estimating the effective material properties of multiphase composites. The Eshelby tensors of a finite domain can capture the boundary...

... or a prescribed uniform traction boundary condition. Based on symmetry and group theoretic arguments, we identify that the Eshelby tensor for a spherical inclusion admits a unique decomposition, which we coin the “ radial transversely isotropic tensor .” Based on this notion, a novel solution procedure...

.... Although the Eshelby property does not hold for the non-ellipsoidal inclusions, in recent studies we have successfully proved that the arithmetic mean of Eshelby tensors at N rotational symmetrical points inside an N -fold rotational symmetrical inclusion is constant and equals the Eshelby tensor...

...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...

..., the stress tensor, and some materials constants to be identified, is added to the basic thermodynamic potential. Using laboratory test results, parameter identification has been performed to illustrate the applicability of the proposed model. Contributed by the Applied Mechanics Division...

... in the nanometer range. Unlike the classical result, our modified formulation renders the elastic state of an embedded inclusion size-dependent making possible the extension of Eshelby’s original formalism to nano-inclusions. We present closed-form expressions of the modified Eshelby’s tensor for spherical...

...-constitutive-tensor.” Each formulation leads to a consistent form of the interaction integral in the sense that extra terms are added to compensate for the difference in response between homogeneous and nonhomogeneous materials. The extra terms play a key role in ensuring path independence of the interaction...

... four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 26 February 2002 10 June 2003 05 01 2004 bubbles internal stresses finite element analysis inclusions tensors elasticity plasticity stress analysis The elastic...

... to be useful emerges from “hydromechanics,” whenever a finite number of generalized coordinates can be used, under the concept of the added mass tensor. A particular and interesting one is addressed in the present paper: the classical hydrodynamic impact of a rigid body against a liquid free surface...

... models have been proposed on the basis of an individual layer as well as equivalent single layer theories by selectively incorporating nonlinear components of Green’s strain tensor. Displacements, as well as transverse stress continuities, have been enforced in the formulation of models by incorporating...

... solution is obtained. Its application to the inclusion problem has been given. The components of the stress tensor are discussed. Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS . Manuscript...

... ,” Int. J. Plast. , 12 , pp. 781 – 804 . Shafiro , B. , and Kachanov , M. , 1999 , “ Solids With Non-Spherical Cavities: Simplified Representations of Cavity Compliance Tensors and the Overall Anisotropy ,” J. Mech. Phys. Solids , 47 , pp. 877 – 898 . Kachanov , M. , 1980...

.... Associate Technical Editor: J. R. Barber. 19 Nov 1999 05 May 2000 elastic deformation Laplace transforms Poisson ratio tensors stress analysis Young's modulus Galerkin method Let ( r , θ, z ) denote the standard set of polar cylindrical coordinates. This note was inspired...

... Editor: J. R. Barber. 15 Sept 1999 14 Jan 2000 boundary integral equations elasticity stress analysis integral equations tensors compressive strength Gaussian processes The currently popular boundary element method is based on displacement boundary integral equations...