... technique, the pertinent four-part mixed boundary value problem (MBVP) is reduced to a decoupled Fredholm integral equation of the second kind. The results of two limiting cases of a single penny-shaped crack and a single annular crack are recovered. The contour plots of dimensionless intensity factors (IFs...

... of static equilibrium equations along with the boundary conditions necessary for analytical/numerical solution of the aforementioned deformation problem. A variational approach to solve the relevant boundary value problem is also presented. Later we use symmetry arguments to derive invariants...

...S. Hao; Q. Wang; L. M. Keer A general approach has been developed to obtain analytical solutions to the boundary-value problems for a two-dimensional conductor under static electric and magnetic fields. This approach is based on a “congruity principle” between a solution of Maxwell’s equation...

... 12 2009 14 12 2009 beams (structures) boundary-value problems buckling compressibility differential equations eigenvalues and eigenfunctions elasticity sandwich structures structural panels The compressive strength of thin sheets can be realized only...

... an assumed mode discretization of an axially moving, uniaxially tensioned Kirchhoff plate coupled with cross and machine direction flows of a surrounding incompressible fluid. The corresponding aerodynamic potentials are computed using finite element solutions of certain mixed boundary value problems...

... of a two-dimensional elastic body have been established. By using the relations, the singular behaviors of the unknown boundary variables at a corner of an elastic body can be obtained before solving the boundary value problem by using the boundary element method (BEM). Especially, if the boundary...

... of disk (in-plane) and plate (out-of-plane) vibrations of a rotating annular Kirchhoff plate in the presence of a distributed frictional loading on its surface. The boundary value problem is derived from the basics of the theory of elasticity using Kirchhoff’s assumptions. This results in precise...

...Marek-Jerzy Pindera; Glaucio H. Paulino 24 07 2008 boundary-value problems cracks elastic moduli elasticity fracture mechanics functionally graded materials Professor Fazil Erdogan has influenced several generations of applied and solid mechanicians working in the area...

... representation of the local displacement field. The exterior unit cell periodic boundary-value problem is tackled by using a new variational principle for this class of nonseparable elasticity problems, which leads to exceptionally fast and well-behaved convergence of the Fourier series coefficients. Closed-form...

...Shivakumar I. Ranganathan; Martin Ostoja-Starzewski Rigorous scale-dependent bounds on the constitutive response of random polycrystalline aggregates are obtained by setting up two stochastic boundary value problems (Dirichlet and Neumann type) consistent with the Hill condition. This methodology...

...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...

...Dae-Jin Kim; Carlos Armando Duarte; Jeronymo Peixoto Pereira This paper presents an analysis of interacting cracks using a generalized finite element method (GFEM) enriched with so-called global-local functions. In this approach, solutions of local boundary value problems computed in a global-local...

... behavior with both linear-elastic and densified regimes. The model presented in this analysis is applicable for all strains up to the densified strain. In the bimodal regime, the model is developed by formulating a boundary value problem for the appropriate Laplace problem that is obtained directly from...

... Pontryagin’s maximum principle, are derived in the case of bimodal optimization. When these conditions are used the problem of determining the optimal cross-sectional area function is reduced to the solution of a nonlinear boundary value problem. The problem treated here generalizes our earlier results...

... depending on the different boundary conditions e.g., Ref. 10 . We first consider the prescribed macrostrain BC, i.e., the Dirichlet boundary value problem (BVP) ( u d = 0 on ∂ Ω ), as discussed in Part I. The average stress consistency condition for the considered homogenization scheme...

... materials, and defects mechanics. 06 04 2006 13 06 2006 elasticity integral equations tensors boundary-value problems One of the corner stones of contemporary micromechanics and nanomechanics is Eshelby’s inclusion theory ( 1 2 3 ). Eshelby’s ellipsoidal inclusion solution...

.... To illustrate our arguments we use a rectilinear class of shear motions that we investigate in the static and quasistatic case in the framework of a simple boundary value problem and the classical recovery phenomenon. Truesdell , C. , and Noll , W. , 2004 , The Non-Linear Field Theories...

... to multiple circular inclusions and cavities in a straightforward way without any difficulty. 15 11 2005 22 05 2006 boundary integral equations boundary-elements methods boundary-value problems Fourier series internal stresses inclusions The distribution of stress in an infinite...

... 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...

...Laura Battaglia; Jorge D’Elía; Mario Storti; Norberto Nigro In this work, transient free surface flows of a viscous incompressible fluid are numerically solved through parallel computation. Transient free surface flows are boundary-value problems of the moving type that involve geometrical...