Abstract: Yield and fracture criteria for real materials are to a varying degree affected by a state of hydrostatic stress. Some materials, after certain deformation history, exhibit different yield point ...

Abstract: Known yield functions have been constructed in the three-dimensional space of principal stresses. Their convexity in the six-dimensional space of the stress components is only conjectured. ...

Abstract: Plastic materials behave as both solids and fluids. When forced to move in a pipe, they flow as a solid plug with a slipping boundary. Depending on the cross-sectional shape of the pipe, ...

Abstract: In practical applications, plates are often not supported along their boundaries. Properly located interior supports can greatly increase the load-carrying capacity of a plate. The optimal locations ...

Abstract: Plate vibration is an old subject in mechanics in which the boundary value problems have almost been exhausted. But in practice, very few plates are constrained only along the boundary. Internal ...

Abstract: The mechanics problem concerning large axisymmetric deformations of nonlinear membranes is reformulated in terms of a system of three first-order ordinary differential equations with explicit ...

Abstract: 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 ...

Abstract: The problem of axisymmetric deformations of an elastic membrane has been formulated in terms of three first-order nonlinear ordinary differential equations. In this paper, the application of these ...

Abstract: A set of three nonlinear partial-differential equations is derived for general finite deformations of a thin membrane. The material that composes the membrane is assumed to be hyperelastic. Its ...

Abstract: The contact problem of an inflated spherical nonlinear elastic membrane between two large rigid plates is formulated in terms of three first-order ordinary differential equations for the region ...