... of a cylinder subjected to nonuniform shear traction at one end and an equilibrating torque at the other. The formulation leads to a pair of interfacial integral equations governing the relative rigid body rotation and the interfacial separation field. The cohesive interface is assumed to be modeled by three...

...-Through Crack in a Plate ,” ASME J. Appl. Mech. 0021-8936 , 29 , pp. 651 – 654 . Li , S. , Mear , M. E. , and Xiao , L. , 1998 , “ Symmetric Weak-Form Integral Equation Method for Three-Dimensional Fracture Analysis ,” Comput. Methods Appl. Mech. Eng. 0045-7825 , 151 , pp...

.../interface. Accordingly, it is hard-pressed to study material properties in nanoscale for the further development of nanotechnology ( 2 3 ). M -integral nano-inclusion Gurtin and Murdoch model surface tension surface Lamé constants elasticity inclusions integral equations nanomechanics...

... , A Treatise on the Mathematical Theory of Elasticity , 4th ed. , Cambridge University Press , Cambridge . 13 01 2009 02 06 2009 14 12 2009 14 12 2009 alloys elasticity elastoplasticity finite element analysis friction high-temperature effects integral equations...

... in evaluating the M -integral, whereas the surface Lamè constants yield much less influence than the surface tension. Their influence on the M -integral for a nanovoid or a soft nano-inclusion could be neglected. elasticity inclusions integral equations nanomechanics nanostructured materials...

...N. Sundaram; T. N. Farris A fast numerical method based on the Cauchy singular integral equations is presented to determine the contact pressure and extents for the contact of two-dimensional similar isotropic bodies when the contact area consists of two separate regions. The partial-slip problem...

... stress τ 0 rather than from the surface Lamé constants μ s and λ s . 11 11 2007 18 03 2008 20 08 2008 elasticity integral equations internal stresses micromechanics nanostructured materials plates (structures) invariant integral nanosized hole surface effect size...

...Fazil Erdogan; Murat Ozturk Generally, the mixed boundary value problems in fracture and contact mechanics may be formulated in terms of integral equations. Through a careful asymptotic analysis of the kernels and by separating nonintegrable singular parts, the unique features of the unknown...

... Compositions ,” Int. J. Solids Struct. 0020-7683 10.1016/S0020-7683(96)00225-9 , 34 , pp. 3415 – 3432 . elastoplasticity cracks integral equations For a homogeneous elastic material, Rice ( 1 ) introduced the path-independent J contour integral and derived it as the (potential...

...Chun-Ron Chiang; George J. Weng By means of the Hankel transform and dual-integral equations, the nonlinear response of a penny-shaped dielectric crack with a permittivity κ 0 in a transversely isotropic piezoelectric ceramic is solved under the applied tensile stress σ z A and electric...

... is presented to solve the resulting Fredholm type integral equations. By using this technique, exact and closed form solutions have been obtained for the elastic disturbance fields. In the solution two new tensors appear, which are termed the Dirichlet–Eshelby tensor and the Neumann–Eshelby tensor. In contrast...

... parallel to the horizontal bounding surfaces at specified elevations or interfaces. Based on half-range Fourier series and the local/global stiffness matrix approach, the mixed boundary-value problem is reduced to a system of coupled singular integral equations of the Cauchy type with kernels formulated...

... criterion. 17 06 2005 21 11 2005 cracks crack-edge stress field analysis dislocations integral equations vectors The following three topics: (i) vector J i ( i = 1 , 2 ) integrals, (ii) crack growth criteria, (iii) crack interacting...

.... The mixed initial-boundary value problem is reduced to a singular integral equation of a generalized Cauchy kernel for the crack tearing displacement density or screw dislocation density. The Gauss-Jacobi quadrature technique is employed to numerically solve the singular integral equation...

... that the maximum displacement response occurs at the center of the moving load and travels at the same speed with the load. 17 10 2003 20 05 2005 plates (structures) elasticity vehicles partial differential equations integral equations Dynamic response of a thin plate subject...

... that is considered to be a Coulomb type. By solving an integral equation, the normal traction between the web and the blade can be expressed as a function of the blade profile and the web speed. Numerical calculations are performed for an ideal razor blade with the wedge shape. The analysis presented in this study...

...B. L. Wang; Y.-W. Mai A periodic array of cracks in a functionally graded coating bonded to a homogeneous substrate is considered. The medium is subjected to transient or static mechanical loads. The problem is formulated in terms of a singular integral equation with the crack face displacement...

... of the auxiliary fields. The final form of the M integral for each of these formulations is compared and assessed from a theoretical point of view later. 24 02 2003 27 07 2004 functionally graded materials fracture mechanics integral equations surface cracks finite element analysis...

... integral equations which are solved approximately. The effects of the frictional heating and the roughness on the contact size and on the contact pressure are presented. Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL...

...Y. S. Wang,; G.-Y. Huang, and; D. Gross 17 03 2004 crack-edge stress field analysis interface phenomena elasticity transfer function matrices Fourier transforms boundary-value problems integral equations functionally graded materials mechanical contact shear modulus...