... 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...

... the feasibility and practicability of the proposed approach. 24 06 2008 19 12 2008 05 03 2010 05 03 2010 elasticity fracture integral equations interface phenomena numerical analysis stress analysis stress intensity factors three-dimensional interface corner domain...

..., the magnitude of the negative M -integral representing the energy absorbing of the soft inclusion or void increases very sharply as the radius of the soft inclusion or void decreases from 5 nm to 1 nm. 13 12 2008 01 06 2009 14 12 2009 14 12 2009 elasticity inclusions integral...

...-plastic regime, such as stick-slip problems, and also for metals and alloys with low or moderate yield stress. 13 01 2009 02 06 2009 14 12 2009 14 12 2009 alloys elasticity elastoplasticity finite element analysis friction high-temperature effects integral equations...

... integral equations nanomechanics nanostructured materials noncrystalline defects surface tension voids (solid) The two state M -integral Mode decomposition Nano-inclusion Surface tension Surface Lamè constants The concept of the two state conservation integral such as the two state...

...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...

... integral nanosized hole surface effect size dependence elasticity integral equations internal stresses micromechanics nanostructured materials plates (structures) 11 11 2007 18 03 2008 20 08 2008 2008 American Society of Mechanical Engineers ...

...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...

... elastoplasticity cracks integral equations For a homogeneous elastic material, Rice ( 1 ) introduced the path-independent J contour integral and derived it as the (potential) energy release rate G defined by 1 G = − d Π d a where Π is the potential energy...

...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...

... ) ] exp [ i η j ( ξ ) y ] ξ r 0 η j ( ξ ) [ η j 2 ( ξ ) + ξ 2 ] d ξ where res(∙) stands for residue ( 25 ). plates (structures) elasticity vehicles partial differential equations integral equations Dynamic response of a thin plate...

... 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...

... fracture mechanics integral equations surface cracks finite element analysis tensors internal stresses crack-edge stress field analysis To determine fracture parameters, e.g., stress intensity factors (SIFs) and T stress, by means of the interaction integral ( M integral 3 ) method...

... 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...