Showing papers in "Computer Methods in Applied Mechanics and Engineering in 1975"

TL;DR: In this paper, the problem of incompressible potential flow about two-and three-dimensional bodies is formulated as an integral equation over the body surface, and the solution can be calculated on the surface without considering the remainder of the flow field.

TL;DR: In this article, a finite element scheme suitable for incompressible fluid flow in plane and axisymmetric geometries is constructed by using a Galerkin method, which can be used for problems with or without free surfaces.

TL;DR: In this paper, a special bond element is proposed with the help of which the energy dissipation process in the contact area is described, with the assumption that a relation between the shear stress and the frictional deformation is known.

TL;DR: In this paper, the second-order accurate finite-difference schemes for the Levy-Lees form of the laminar boundary layer equations were investigated for the boundary layer flow with linearly retarded edge velocity.

TL;DR: In this article, the basic idea is brought to a logical conclusion by the direct construction of the factorised form of the elemental and overall stiffness matrices from their natural stiffness roots, denoted as the natural factor formulation.

TL;DR: In this article, a partial approximation of the physical finite element representation of circular arches as an assemblage of straight beam elements is compared with the mathematical model based on the partial approximation.

TL;DR: In this article, the authors deal with the development of efficient identification methods for the determination of parameters associated with the nonlinear response of structural systems subject to seismic conditions, where the external force vector p and the mass matrix M are assumed to be known.

TL;DR: In this paper, two numerical methods, an integral equation method and a conformal transformation method, are described for the solution of harmonic boundary value problems, which are designed to deal with problems involving curved boundaries, boundary singularities and discontinuous boundary conditions.

TL;DR: In this paper, a finite element approximation of the Dirichlet problem for the biharmonic operator is described, where the main feature is that it is equivalent to solving a sequence of discrete DDEs for the operator -Δ.

TL;DR: In this paper, a series of test airfoils about which the flow has been calculated by various refinements of the surface source singularity method was presented. But the results of the analysis were limited to two-dimensional lifting airfoil with finite trailing edges.

TL;DR: In this paper, a case of axisymmetric bodies in which the application of main interest is an inlet, possibly with centerbody and ring vanes, was investigated, and the technique employed makes use of curved surface elements and a source density which varies over the element.

TL;DR: In this article, the sequential identification approach outlined in [1] is employed to estimate the parameters of a bilinear hysteric model of the kinematic type, and an estimation routine geared to bypass the difficulty originating from the identification problem in terms of the three parameters associated with the piecewise linear model employed.

TL;DR: In this article, mixed isoparametric elements for the Saint-Venant torsion problem of laminated and anisotropic bars are presented for both triangular and quadrilateral elements and the stiffness matrix is obtained by using a modified form of the Hellinger-Reissner mixed variational principle.

TL;DR: A new technique for constrained optimization called SWIFT (Sequential Weight Increasing Factor Technique) is presented and compared with some test problems available in the literature and significantly differs from existing constrained optimization techniques.

TL;DR: In this article, the displacement field of a homogeneous, isotropic elastic disk that is free from body forces is analyzed by a method of equivalence and an approach based on finite elements.

TL;DR: The free boundary problem of electrochemical machining (ECM) is formulated by the inverted method in which the spatial coordinates are the dependent variables on the plane of the complex potential.

TL;DR: In this article, the cable behavior is described by a multilinear force-elongation law and a simple analytical representation of this type of law is used and shown to be easily adjusted in order to allow for irreversible plastic strains.

TL;DR: In this article, a comparison between the finite difference method and the finite element method for solving the linear two-dimensional heat conduction equation is presented, and it is shown that the FEM method is superior to the FDM method in all areas except computer core storage.

TL;DR: Certain properties of geometric programming are used to develop a method for generating information about the optimum design for problems involving the minimization of a real valued function subject to inequality constraints.

TL;DR: In this article, the authors used high-speed digital computers to predict land subsidence due to fluid withdrawals in natural two or three-dimensional basins and reservoirs, which can be applied at both the reconnaissance and intermediate stage to assess the convenience of alternative pumping schedules in relation to the permanent modifications produced in the environment.

TL;DR: In this paper, a method for formulating and algorithmically solving the equations of finite element problems is presented, which starts with a parametric partition of the domain in juxtaposed strips that permits sweeping the whole region by a sequential addition (or removal) of adjacent strips.

TL;DR: In this article, an algorithm based on the simplex method of linear programming is proposed to solve the nonlinear mixed-integer programming problem involved in multilaminar, fiber-reinforced continua.

TL;DR: In this article, the authors describe the application of a calculation procedure to three flow situations which can be characterised as three-dimensional boundary layers, and demonstrate that when the boundary conditions exhibit certain discontinuities, only the solution of all three momentum equations can give satisfactory accuracy.

TL;DR: In this paper, a finite difference scheme for the two-dimensional incompressible advection-diffusion equation is derived for the model, which is stable at all grid mesh sizes or cell Reynolds numbers.

TL;DR: In this paper, five possible finite difference formulations of the Reynolds equation are discussed and the truncation error of each formulation is compared and the effect of mesh size is determined for a particular hydrodynamic film arrangement.

TL;DR: The search algorithm used in REGRESS is described and the practical considerations leading to its development are discussed, including two test cases that can be used for comparison with results obtained from other nonlinear least squares programs.

TL;DR: The modeling system, which communicates with the user through a problem oriented language, allows the user to: define the parameters that characterize the structure; modify an already discretized structure; and obtain graphical or line printer displays of various structural components.

TL;DR: In this paper, a variational principle due to Gurtin is modified by including a plastic strain tensor in the constitutive relationship and the resulting finite element equations, which represent the strain-displacement equations written in terms of the stresses, are simultaneous integral equations in time.

TL;DR: In this article, a finite element method is applied to the study of dynamic deformation of a porous metal using the wave equation, which is then achieved by computing a finite-difference scheme.