Abstract: When a mechanical system has a potential energy, it is a simple matter to show that if the generalized force corresponding to a coordinate p is known to first order in p for a range of ...

Abstract: In contrast to straight bars, elastic bars with initial twist exhibit coupling between tension and torsion. The coupling is examined for pretwisted bars composed of homogeneous isotropic material ...

Abstract: Variational principles are derived for some nonstandard problems involving elastic bodies in smooth contact. For these problems, the portions of the surfaces where one boundary condition holds ...

Abstract: Uniqueness of solution is shown for equilibrium states for elastic bodies in smooth contact. The cases considered include a body with a crack that may open only partially under load with parts ...

Abstract: A procedure is developed for obtaining the design of an elastic, perfectly plastic shell or structure which will support prescribed loads and which is the optimum design for a given criterion. ...

Abstract: A consistent theory is developed for linear elastic behavior in which the strains are small but in which no restriction is placed on the magnitudes of the displacements or the rotations of ...

Abstract: The method of optimal plastic design used by Marçal and Prager [1] is reviewed and generalized to arbitrary one and two-dimensional plastic structures, and the uniqueness of optimal designs ...

Abstract: A consistent theory for linear elastic behavior in which the strains are small but in which the displacements and rotations can be large is applied to the bending of a long rectangular plate ...