In this paper an exact formulation of the plane elasticity problem for a hollow cylinder or a disk containing a radial crack is given. The crack may be an external edge crack, an internal edge crack, or an embedded crack. It is assumed that on the crack surfaces the shear traction is zero and the normal traction is an arbitrary function of r. For various crack geometries and radius ratios, the ...

We present a continuum theory to demonstrate the implications of considering general tractions developed on arbitrary control volumes where surface enclosing it lacks smoothness. then tailor these recover Navier–Stokes-αβ equation and its thermodynamics. Consistent with balances postulated propose this theory, we provide an alternative approach derive natural boundary conditions.

Current methodologies used for the inference of thin film stress through curvature measurements are strictly restricted to uniform film stress and system curvature states over the entire system of a single thin film on a substrate. By considering a circular multilayer thin film/substrate system subjected to nonuniform temperature distributions, we derive relations between the stresses in each f...

In this paper, we propose an analysis methodology that is procedurally analogous to Constructive Solid Geometry (CSG) integrating design and analysis, and thereby enabling efficient optimal design. The procedure, due to its analogous nature to CSG, is termed Constructive Solid Analysis (CSA). The analysis methodology is partitioned, hierarchical and is based on constructing the boundary value p...

The results presented here are part of a study of the interaction between an electro-mechanical transducer plate element and wavelengths in the test structure that are comparable to the plate dimensions. The steady time-harmonic problem is reduced to a system of singular integral equations for determining the tractions generated at the interface between the plate and half-space where a thin vis...

Current methodologies used for the inference of thin film stress through curvature measurements are strictly restricted to stress and curvature states that are assumed to remain uniform over the entire film/substrate system. By considering a circular thin film/ substrate system subject to nonuniform and nonaxisymmetric temperature distributions, we derive relations between the film stresses and...

We find the spatial variation of material parameters for pressurized cylinders and spheres composed of either an incompressible Hookean, neo-Hookean, or Mooney–Rivlin material so that during their axisymmetric deformations either the in-plane shear stress or the hoop stress has a desired spatial variation. It is shown that for a cylinder and a sphere made of an incompressible Hookean material, ...

The axisymmetric deformations of an eroding long cylindrical rod made of a rigid/perfectly plastic material penetrating at a uniform rate into a thick rigid/perfectly plastic target are studied by the finite element method. It is assumed that the deformations appear steady to an observer situated at the stagnation point and moving with it, and that the contact between the target and the penetra...

Abstract Stress and strain average rules are the key conceptual pillars of wide field continuum micromechanics materials. The aforementioned express that spatial (micro‐)stress (micro‐)strain fields throughout a microscopically finite representative volume element (RVE) equal to (macro‐)stress (macro‐)strain values associated with corresponding macroscopically infinitesimal (macroscopic materia...