... solutions as special cases. The corresponding fundamental solutions or Green's functions within the infinite space are also derived, offering a comprehensive characterization of quasicrystal anisotropy. It is noteworthy that Green's functions in orthorhombic quasicrystals can be simplified to those...

...J. Merson; R. C. Picu This article presents the displacement field produced by a point force acting on an athermal random fiber network (the Green function for the network). The problem is defined within the limits of linear elasticity, and the field is obtained numerically for nonaffine networks...

...Jeng-Tzong Chen; Jia-Wei Lee; Hung-Chih Shieh Green's function nonconcentric spheres bispherical coordinates image method where 0 < ξ < π , - ∞ < η < ∞ , - π < φ < π , and (3) ξ = θ 2 - θ 1 ,   η = ln...

... transforms, a set of ring-load Green’s functions for the axisymmetric equations of equilibrium are derived and shown to be expressible in terms of standard elliptic integrals. With the aid of a rigorous yet highly efficient numerical method, the integral equation is solved for the multi-interval singular...

.../14786430412331331907 21 Ting , T. C. T. , Anisotropic Elasticity: Theory and Applications ( Oxford University , New York , 1996 ). 22 Pan , E. , and Yuan , F. G. , 2000 , “ Three-Dimensional Green’s Functions in Anisotropic Bimaterials ,” Int. J. Solids Struct. 37 , pp. 5329 – 5351...

... are first expressed in terms of the line integral along its boundary with the integrand being the Green’s functions, which is carried out analytically. The Eshelby inhomogeneity relation for the elliptical shape is then extended to the polygonal inhomogeneity, with the final induced field involving only...

...Zifeng F. Yuan; Huiming M. Yin In this work, Green’s functions for unbounded elastic domain in a functionally graded material with a quadratic variation of elastic moduli and constant Poisson’s ratio of 0.25 are derived for both two-dimensional (2D) and three-dimensional (3D) cases...

... mechanical contact metals plastic deformation rough surfaces shear strength slip yield stress contact mechanics analytical solution plasticity friction Green’s function influence coefficients The semi-analytical method (SAM)—which consists of the numerical summation of analytical...

...Gang Liu; Baohua Ji; Haitao Chen; Diankui Liu In this paper, the antiplane harmonic dynamics stress of an infinite isotropic wedge with a circular cavity is analyzed for the first time by using a novel method with Green’s function, complex functions, and multipolar coordinates. A basic solution...