Browsing by Author "Power, Leonard Douglas"
Now showing 1 - 2 of 2
- Results Per Page
- Sort Options
Item Axisymmetric stresses and displacements in a finite circular bar(1969) Power, Leonard Douglas; Childs, S. Bart; Wheeler, Lewis T.; Wright, MartinA class of axisymmetric boundary value problems for a finite solid circular bar is considered. The lateral surface is assumed to be traction free, whereas its end sections are subjected to prescribed tractions and/or displacements. The solution utilizes Love's stress function to generate a family of biorthogonal eigenfunctions on the interval [0,1]. The problem is formally reduced to an infinite system of linear algebraic equations, explicit expressions being given in the case of mixed boundary conditions on both ends, or all boundary conditions prescribed on a single end. Three example problems are solved: first, a bar with no body forces, a set of self-equilibrating normal stresses prescribed on one end, and no tractions on the other end; second, a bar with no body forces, a set of axisymmetric shear stresses prescribed on one end, and no tractions on the other end; third, a vertical cylinder resting on a rigid, frictionless surface, loaded by its own weight. Selected numerical results are presented in graphical form.Item Fracture mechanics of fiber reinforced composites(1968) Power, Leonard Douglas; Nunes, Arthur C., Jr.; Eichberger, Le Roy C.; Graff, William J.; Michalopoulos, Constantine D.The present investigation is a study of the stress field produced by a broken fiber in a fiber reinforced composite and the nature of failure propagation in the composite following such an initial break. The material is simulated by a hexagonal network of elastically coupled discrete elements. Equilibrium of a typical element yields a system of first order difference equations in terms of the displacements of the elements. The displacements are then found by the method of relaxation, and stresses obtained from the resulting displacement field. Results are given for various values of relative elastic properties and fiber volume fractions to show the effect of these parameters on stress distributions. Where applicable, results are compared to previous analyses. A theory is offered to explain the general notch insensitivity of fiber reinforced composites based on the distribution of flaws in fibers. A recommendation for future study is included.