Showing papers in "Finite Elements in Analysis and Design in 1994"

TL;DR: In this paper, a spectral element method for studying acoustic wave propagation in complex geological structures is presented, which shows more accurate results compared to the low-order finite element, the conventional finite difference and the pseudospectral methods.

TL;DR: This note is concerned with the choice of a distortion quality measure used in post-meshing activities such as quality evaluation, and quality improvement of a finite element mesh consisting of a disjoint collection of tetrahedra.

TL;DR: A system of adaptive procedures for large-deformation finite element analysis of elastic and elastoplastic problems using the h -refinement approach is presented and demonstrated to be effective in solutions of two-dimensional stress analysis problems including contact conditions.

TL;DR: In this paper, theoretical regularity and practical requirements of the design velocity field are discussed and the crucial step of using the velocity field to update the finite element mesh in the design optimization process is emphasized.

TL;DR: In this article, the effect of transverse shear stresses on the deflection of straight prismatic beams with arbitrarily shaped cross sections is reconsidered and a method for calculating shear deformation coefficients is developed by combining the engineering beam theory with an elasticity solution for a cantilever beam under a tip load.

TL;DR: It is demonstrated that it is possible to guarantee the quality of local error estimators in any mesh-patch in the interior of a finite-element mesh by employing meshes which are sufficiently refined outside the patch.

TL;DR: In this paper, a dual integral formulation with a hypersingular integral is derived to solve the boundary value problem with singularity arising from a degenerate boundary, and a seepage flow under a dam with sheet piles is analyzed to check the validity of the mathematical model.

TL;DR: In this paper, the authors proposed a method based on P3 Lagrange finite elements with mass-lumping which avoids the inversion of a mass matrix at each time-step.

TL;DR: In this paper, a simple formulation of two triangular membrane elements is implemented similar to that of the generalized conforming plate bending element, and the triangle has nine degrees of freedom, namely, six translations and three rigid rotations at the vertexes.

TL;DR: In this paper, the geometrically nonlinear analysis of laminated composite rectangular plates is studied using the hierarchical finite element method (HFEM) and the derivation of the equilibrium equations and tangential stiffness matrix are given.

TL;DR: In this article, a study of the buckling and postbuckling responses of flat, unstiffened composite panels subjected to various combinations of mechanical and thermal loads was made based on a first-order shear deformation von Karman-type plate theory.

TL;DR: The generalized differential quadrature (GDQ) as discussed by the authors is an extension of the global method of DQ which discretizes a spatial derivative in a physical domain by a weighter linear sum of all the functional values in the whole domain.

TL;DR: A series of three flat triangular shell elements with three corner nodes and six degrees-of-freedom per node is proposed in this article, where each of these elements is considered as a combination of a triangular bending element and a plane stress element.

TL;DR: In this paper, a thin piezoelectric hexahedron finite element was developed with applications to smart continua, and a proportional feedback-constant gain-feedback control was implemented in the finite element program.

TL;DR: In this article, the super finite element method is extended to the nonlinear static and dynamic analysis of orthogonally stiffened cylindrical shells and the temporal equations are solved by the implicit Newmark-β method with Newton-Raphson subiterations.

TL;DR: In this paper, a new approach for the solution of the Navier-Stokes equations in a domain bounded in part by a free surface is presented, where the geometry is decoupled from the fluid velocity and pressure.

TL;DR: Weakly and strongly underexpanded, axisymmetric, supersonic jets are studied using unstructured, triangular finite elements in this article, where a point-implicit method with an approximate Riemann solver is utilized.

TL;DR: In this article, a modified Chebyshev collocation algorithm for direct numerical simulations of 2D turbulent convection in differentially heated cavities is presented, where coordinate stretching is introduced to redistribute the collocation points where needed in order to resolve small scales that appear at cavity mid-height.

TL;DR: In this paper, a reinforced concrete model for nonlinear finite element analysis is presented, which performs the nonlinear behaviors of both concrete and reinforcement steel in each element and considers the effects of concrete cracking, tension stiffening and dowel action.

TL;DR: In this paper, the authors presented a method for the formulation of a thin, rectangular, shell finite element with a transverse, internal, open crack, which is modelled by additional flexibility matrices, the terms of which are calculated on the basis of laws of fracture mechanics.

TL;DR: In this article, a co-rotational, updated Lagrangian formulation for geometrically nonlinear analysis of shells is presented, which is ideally suited for implementation in existing linear finite element programs and has been demonstrated by a number of numerical examples.

TL;DR: In this article, a pseudospectral solver of the Cartesian 2D/3D unsteady stroke problem is presented, based on a unique grid procedure which allows for a spectrally accurate evaluation of the solenoidal velocity field and of the pressure.

TL;DR: In this paper, the authors demonstrate important factors for the application of mode-superposition methods and component mode synthesis to transient response analyses of large structures and provide physical insights at each computational stage.

TL;DR: In this article, an extra inverse iteration step on trial vectors associated with selected higher required eigenvalues is performed, based on an estimate of each eigenvalue's ultimate rate of convergence, is used to choose the trial vectors which will undergo another inverse iteration.

TL;DR: In this article, the rigid-body response of underground protective structure is analyzed adopting a single-degree-of-freedom model, and a recently proposed decoupling procedure is used to accomodate the structure-medium interaction.

TL;DR: An effective mesh refinement strategy and a data structure for adaptive Finite Element (FE) computation of 2D and 3D problems and a numerical case study and an implementation to solve linear elliptic boundary value problems are presented.

TL;DR: In this paper, a four-noded rectangular element with seven degrees of freedom at each node is developed for buckling analysis of laminated plate structures having any number of layers with a constant thickness of individual layers.

TL;DR: In this paper, a numerical method based on self-consistent theory, namely the selfconsistent finite element method, was developed for finding the determination of the effective properties of multiphase media with arbitrarily shaped and anisotropic inclusions.

TL;DR: This bibliography contains references to published papers, conference proceedings and theses/dissertations dealing with finite elements and boundary elements in connection to error analysis and adaptive methods that were published in 1992–1993.

TL;DR: A simple and fast method to generate graded quadrilateral mesh that involves no background mesh interpolation, no recursive region sub-divisions and no sorting during the generation process, is suitable for a repeated mesh generation process such as occurs in the metal forming FEM analysis.