Archive of Applied Mechanics

We prove two results that generalize the two classical theorems of Castigliano to structures with known (stationary) eigenstrains, including those originating from temperature changes, lack-of-fit, phase changes, etc. We show that in these …

Older and contemporary CAD-based interpolations, either for surfaces or for volume blocks, are capable of creating sets of basis functions on which finite-element (Galerkin–Ritz) and global collocation procedures can be supported. For some of …

A novel phase field formulation implemented within a material point method setting is developed to address brittle fracture simulation in anisotropic media. The case of strong anisotropy in the crack surface energy is treated by considering an …

In this paper, we present a general methodology for solving buckling problems for inhomogeneous columns. Columns that are treated are functionally graded in axial direction. The buckling mode is postulated as the general order polynomial function …

Several criteria for mixed-mode fracture in crack problems are based on the maximum of a quantity quite frequently related to stress components. This quantity should not reach a critical value. Computationally, this approach requires the use of …