Communications in Applied Numerical Methods 

About: Communications in Applied Numerical Methods is an academic journal. The journal publishes majorly in the area(s): Finite element method & Boundary value problem. It has an ISSN identifier of 0748-8025. Over the lifetime, 598 publications have been published receiving 8087 citations.

A generalization of two-dimensional theories of laminated composite plates†

Abstract: A general two-dimensional shear deformation theory of laminated composite plates is presented. The theory account for a desired degree of approximation of the displacements through the laminate thickness. As special cases, the classical, first-order (Reissner–Mindlin) and other shear deformation theories available in the literature can be deduced from the present theory.

Laplacian smoothing and Delaunay triangulations

Abstract: SUMMARY In contrast to most triangulation algorithms which implicitly assume that triangulation point locations are fixed, 'Laplacian' smoothing focuses on moving point locations to improve triangulation. Laplacian smoothing is attractive for its simplicity but it does require an existing triangulation. In this paper the effect of Laplacian smoothing on Delaunay triangulations is explored. It will become clear that constraining Laplacian smoothing to maintain a Delaunay triangulation measurably improves Laplacian smoothing. An early reference to the use of Laplacian smoothing is to be found in a papel by Buell and Bush.' They surveyed the use of Laplace's equation to generate two-dimensional meshes, and described an equipotential method2 which extends finite differences of Laplace's equation on rectangular grids to differences on triangular grids. On triangular grids, the weighted difference equations

A low-diffusive and oscillation-free convection scheme

Abstract: A higher-resolution and bounded discretization scheme is proposed for calculations of incompressible steady flows with finite-volume methods. The scheme combines a second-order upstream-weighted approximation with the first-order upwind differencing under the control of a convection boundedness criterion. It is easy to implement for calculations of multi-dimensional flows, and the resulting finite-difference coefficient matrix is always diagonally dominant. Applications to three test problems, two linear and one non-linear, and comparisons with two commonly used schemes, hybrid upwind/central differencing and QUICK, demonstrate the capability of the method in capturing steep gradients while maintaining the boundedness of solutions.

A note on tangent stiffness for fully nonlinear contact problems

Abstract: SUMMARY In the numerical solution of geometrically nonlinear contact problems by the finite element method, it is often assumed that the modification to the tangent stiffness takes the form of the single rank-one-update characteristic of the linear theory. It is shown that due to the kinematic nonlinearity such a simple structure no longer holds. Within the context of the discrete problem arising from a finite element formulation, explicit expressions for the residual and the tangent stiffness matrix are obtained for both penalty and Lagrangian parameter procedures. FORMULATION OF THE DISCRETE PROBLEM By introducing the perturbed Lagrangian functional, both penalty and Lagrange parameter procedures may be presented in a unified manner. For the discrete description of the contact problem, the perturbed Lagrangian function, re, may be expressed as

Defectiveness of weighting method in multicriterion optimization of structures

Abstract: It is well known that the weighting method may fail in generating the Pareto optimal set of a multicriterion problem in non-convex cases. In this paper, two simple truss examples, one static and one dynamic problem, are presented to show that this situation easily occurs in optimum structural design also.