摘要:

AbstractSpecial quadrature rules are described for elastic finite elements that haverqbehaviour (0

ISSN:0029-5981    

DOI:10.1002/nme.1620200302

出版商:John Wiley&Sons, Ltd    

年代:1984

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620200303

出版商:John Wiley&Sons, Ltd    

年代:1984

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620200304

出版商:John Wiley&Sons, Ltd    

年代:1984

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620200305

出版商:John Wiley&Sons, Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractA lowest order difference scheme has been developed for a spatially non‐uniform grid such that the integrated square error is a minimum. This algorithm accommodates grid asymmetry and maintains reasonable accuracy without recourse to higher order approximations. Numerical experiments and computations of the Fourier response factor confirm the performance of the optimized asymmetric algorith

ISSN:0029-5981    

DOI:10.1002/nme.1620200306

出版商:John Wiley&Sons, Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractA transfer‐matrix analysis is presented for determining the static behaviour of thick beams of ‘multimodular materials’ (i.e. materials which have different elastic behaviour in tension and compression, with nonlinear stress–strain curves approximated as piecewise linear, with four or more segments). To validate the transfer‐matrix method results, a closed‐form solution is also presented for cases in which the neutral‐surface location is constant along the beam axis. Numerical results for axial displacement, transverse deflection, bending slope, bending moment, transverse shear, axial force and location of neutral surface are presented for multimodular and bimodular models of unidirectional aramid cordrubber. The transfer‐matrix method results agree very well with the closed

ISSN:0029-5981    

DOI:10.1002/nme.1620200307

出版商:John Wiley&Sons, Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractA numerical technique has been developed to solve a system that consists of m linear parabolic differential equations with coupled nonlinear boundary conditions. Such a system may represent chemical reactions, chemical lasers and diffusion problems. An implicit finite difference scheme is adopted to discretize the problem, and the resulting system of equations is solved by a novel technique that is a modification of the cyclic odd–even reduction and factorization (CORF) algorithm. At each time level, the system of equations is first reduced tomnonlinear algebraic equations that involve only themunknown grid points on the nonlinear boundary. Newton's method is used to determine thesemunknowns, and the corresponding Jacobian matrix can be computed and updated easily. After convergence is achieved, the remaining unknowns are solved directly. The efficiency of this technique is illustrated by the numerical computations of two examples previously solved by the cubic spline Galerkin metho

ISSN:0029-5981    

DOI:10.1002/nme.1620200308

出版商:John Wiley&Sons, Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractThe efficiency and computational accuracy of the boundary element and finite element methods are compared in this paper. This comparison is carried out by employing different degrees of mesh refinement to solve a specific illustrative problem by the two methods.

ISSN:0029-5981    

DOI:10.1002/nme.1620200309

出版商:John Wiley&Sons, Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractAn 8‐node brick element based on the assumed stress hybrid formulation is described. With three additional stress fields, the element stiffness matrix now has the required rank of 18, and the ‘bending’ response is exact with rectangular elements. Surprisingly, the 2 × 2 × 2 Gauss rule suffices for all numerical integrations, to satisfy the constant stress pat

ISSN:0029-5981    

DOI:10.1002/nme.1620200310

出版商:John Wiley&Sons, Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractAn assumed stress hybrid curvilinear triangular finite element is described which is based upon the Kirchhoff theory of plate bending. The derivation extends the assumed stress hybrid technique to curvilinear boundaries where the twelve connectors are related to those of an equilibrium rectilinear element and to Semiloof. The solution process demands only first derivatives of the shape functions.The element is subjected to various patch tests for constant bending, e.g. where the central element is in close approximation to a circle. All tests are passed for stress couples and vertex displacements, but values of the remaining connectors do not resemble exact results. Patch tests for rigid‐body movements are passed exactly in every respec

ISSN:0029-5981    

DOI:10.1002/nme.1620200311

出版商:John Wiley&Sons, Ltd    

年代:1984

数据来源: WILEY