... of theoretical solution and finite element method results demonstrates the application and accuracy of this solution. 21 01 2010 20 09 2010 24 09 2010 20 12 2010 20 12 2010 ageing elastic constants finite element analysis functionally graded materials Green's function methods...

... 2010 17 09 2010 08 11 2010 08 11 2010 elasticity Green's function methods surface tension Green function circular hole surface effects Gurtin and Murdoch model The Green function presents a key concept in the theory of linear partial differential equations...

... Green's function methods shear deformation stress-strain relations tensors The finite strain tensors used in practice all belong to the class of Doyle–Erickson tensors ε = ( F T F m / 2 − I ) / m , where I and F are the unit tensor and the deformation...

... across the interface. 13 08 2008 03 02 2009 27 07 2009 Green's function methods interface phenomena Poisson ratio shear modulus The solutions to singularities such as point forces, dislocations and their dipoles, and phase transformation dots embedded in bonded elastic...

... of the cavity surface. The dynamic stress concentration factor on the cavity surface becomes singular when the cavity is close to the boundary of the wedge. 29 11 2007 10 02 2009 23 07 2009 elasticity elastodynamics Green's function methods shapes (structures) infinite wedge...

... error analysis Green's function methods variational techniques Lately much of attention of a posteriori error estimation has been placed in quantities of interest and functional outputs. Indeed, in engineering and science applications many times one is interested not just in the global...

.... W. Cahn , M. C. Flemings , E. J. Kramer , S. Mahajan , and P. Veyssiere , eds., Elsevier Science , New York , pp. 1 – 16 . Yang , B. , and Tewary , V. K. , 2006 , “ Efficient Green’s Function Method of Line and Surface Defects in Multilayered Elastic...

... at the location at which f z acts. 03 05 2007 02 06 2008 21 08 2008 elastic moduli elasticity Green's function methods internal stresses As the size of materials is reduced, the ratio of surface to volume of structures increases and the surface...

... Green's function methods functionally graded material radially graded material boundary integral equation domain decomposition distributed computing This article is a continuation of previous work aimed at the development of effective boundary integral equation (BIE) methods...

... the continuity conditions at the interface(s), we derive and apply effective boundary conditions for the interface between the layer and the body that take into account the existence of the layer. anisotropic media elasticity Green's function methods When an elastic layer is bonded to another...

... is demonstrated. 22 02 2007 25 02 2008 14 05 2008 elasticity Green's function methods harmonics plates (structures) Rayleigh waves surface acoustic waves In surface acoustic wave (SAW) electronic devices, thin metal strips distribute the electric potential on a piezoelectric...

... elasticity Green's function methods plates (structures) stress effects infinite plate infinite plane stress distribution circular holes elasticity analytical solution The distribution of stress in an infinitely large plate perforated by circular holes has been studied...

... thermoelasticity harmonic analysis cadmium compounds II-VI semiconductors Green's function methods Green’s functions or fundamental solutions play an important role in both applied and theoretical studies on the physics of solids. They are a basic building block of a lot of further works. For example...

.... A 0141-8610 10.1080/014186198254722 , 77 ( 1 ), pp. 231 – 256 . Masuda-Jindo , K. , Menon , M. , and Van Hung , V. , 2001 , “ Atomistic Study of Fracture of Nanoscale Materials by Molecular Dynamics and Lattice Green’s Function Methods ,” J. Phys. IV 1155-4339 , 11 ( PR5 ), pp...

... eigenstrain generates a mid-plane eigenstrain and an eigencurvature, which are, respectively, related to the extension and bending problems of an orthotropic Kirchhoff plate. By way of the Green’s function method, integral-type general solutions of the in-plane and out-of-plane displacements are expressed...

... 04 2006 elasticity Green's function methods Step-step interaction plays an important role in many different areas such as epitaxial growth and surface chemistry and therefore has been the subject of numerous fundamental studies. From the perspective of continuum analysis, Marchenko...

... ), but later ( 11 ) it was proved that the non-ellipsoidal inclusion cannot have a uniform field. tensors inclusions eigenvalues and eigenfunctions elasticity Green's function methods 21 07 2005 15 11 2005 2006 American Society of Mechanical Engineers ...

..., and will be accepted until four months after final publication in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 18 May 2004 18 July 2004 06 05 2005 elasticity plates (structures) piezoelectricity Green's function methods eigenvalues and eigenfunctions dislocations...

... in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 09 March 2004 27 August 2004 15 03 2005 laminates Green's function methods cracks bending deformation stress analysis internal stresses torsion The problems of holes and cracks are important not only...

... function at the origin dominates all the others strung out along the y axis. 11 11 2004 28 01 2005 shells (structures) Green's function methods elasticity partial differential equations To the memory of J. Lyell Sanders, Jr. (1924-1998): friend, colleague, mentor...