This paper addresses the problem of delamination growth prior to its buckling using mathematical techniques appropriate for mixed boundary value problems. The formulation presented herein does not require buckling as a necessary condition for delamination growth. By employing the stability equations of elasticity theory, solutions to the problem of an infinite layer with a slightly imperfect circular delamination subjected to axisymmetric and uniaxial in-plane compressive loading are presented. This approach permits the determination of the stress intensity factors under specified initial imperfections for applied compressive stress.

This paper presents an analytical solution to the problem of local buckling induced by delamination of a layered plate. Delamination growth and buckling is an observed failure mode in laminated structures subjected to compressive loads. Previous analytical studies of the phenomenon rest upon simplifying structural and geometric approximations. The purpose of this paper is to present solutions for this problem using the classical three-dimensional theory of elasticity to predict the buckled equilibrium state. Solutions to the problem of a plate with a circular delamination subjected to axisymmetric and uniaxial in-plane compressive loadings are obtained using mathematical techniques appropriate for mixed boundary value problems.

The study of a single broken fiber embedded in an infinite elastic matrix subjected to a uniform far-field strain is presented. The solution, which accounts for the presence of interface debonding in the neighborhood of the fiber fracture, is carried out within the framework of classical elastostatics. The boundary value problem is reduced first to a pair of dual integral equations, and then to a Cauchy singular integral equation which is solved numercially. Results are presented illustrating the dependence of the fiber axial force and the interface shear stress upon the geometrical and material parameters.

The viscoelastic analysis of tape systems composed of rate-dependent materials is presented. Histories for winding, winding-pause, and winding-pause-unwinding are considered. The winding problem is reduced to determining the appropriate Green’s function by numerical solution of a Volterra integral equation of the second kind. This Green’s function and integral superposition permits the evaluation of the stress and displacement fields in the tape system for any winding history. Viscoelastic unwinding is treated by the superposition of two-states — one determined from the initial condition of the tape when unwinding begins and the second state given in terms of an arbitrary external pressure evaluated by solving an integral equation. Numerical results are presented for several histories and representative material properties.

The problem of determining the response of a rigid strip footing bonded to an elastic half plane is considered. The footing is subjected to vertical, shear, and moment forces with harmonic time-dependence; the bond to the half plane is complete. Using the theory of singular integral equations the problem is reduced to the numerical solution of two Fredholm integral equations. The results presented permit the evaluation of approximate footing models where assumptions are made about the interface conditions.

This paper is concerned with the solution of mixed boundary-value problems arising from the longitudinal shear and Saint-Venant torsion and flexure of cracked prismatic beams. The members considered have a rectangular cross section with planar edge cracks extending the length of the beam. The problem is reduced to a pair of dual-series equations, the solution of which is obtained by a method due to Sneddon and Srivastav [1]. Numerical results are presented for a variety of quantities of physical interest.

Solutions are presented, within the scope of classical elastostatics, for a class of asymmetric mixed boundary-value problems of the elastic half-space. The boundary conditions considered are prescribed interior and exterior to a circle and are mixed with respect to shears and tangential displacements. Using an established integral-solution form, the problem is reduced to two pairs of simultaneous dual integral equations for which the solution is known. Two illustrative examples, motivated by problems in fracture mechanics, are presented; the resulting stress and displacement fields are given in closed form.

This paper discusses a two-dimensional elastostatic plate theory in which effects of both transverse shearing strain and normal strain are retained. The governing system of equations is deduced as a limiting case of results obtained for thin shells by Naghdi. As an example of a class of problems for which such effects are significant, axisymmetric bending of an infinite plate resting on an elastic half space is discussed. Illustrative numerical results are included.