摘要:

AbstractThe paper deals with aB‐type strain projection method with specific reference to axisymmetric incompressible solids. Essentially the\documentclass{article}\pagestyle{empty}\begin{document}$ \overline{\overline {\rm{B}}} $\end{document}(B double bar) method, which is reported in the present study, is based on Hughes'B‐bar approach utilizing modified shape functions to represent the radial displacement and geometry. As a consequence of adopting these procedures the\documentclass{article}\pagestyle{empty}\begin{document}$ \overline{\overline {\rm{B}}} $\end{document}method results in an exact satisfaction of incompressibility constraints. The rationale of the\documentclass{article}\pagestyle{empty}\begin{document}$ \overline{\overline {\rm{B}}} $\end{document}method leads to the modified mean‐dilatation approach for the case of an axisymmetric incompressible problem. It is interesting to note in the present work that the explicit influence of enhanced hoop strain is eliminated from the discrete divergence cond

ISSN:1069-8299    

DOI:10.1002/cnm.1640101102

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractAn approach is presented for the formulation of the unilateral contact constraint in the presence of contact surface discontinuities. Such discontinuities may be due to physical corners on the surfaces of contacting bodies, or may be introduced by a discretization process (e.g. finite elements). It is asserted that a strong analogy exists between this problem and the one describing inelastic evolution in the presence of a discontinuous yield surface. This analogy is exploited to produce an effective treatment of the frictionless corner problem, complete with an effective augmented Lagrangian implementation for accurate constraint enforcement.

ISSN:1069-8299    

DOI:10.1002/cnm.1640101103

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractAn interface finite element for non‐linear analysis of frictionless contact problems is presented. A constitutive equation relates stresses in the interface layer to the deformation gradient with respect to an imaginary reference configuration where the layer thickness is constant and finite. The equation of equilibrium is written in the same configuration, while the boundary conditions involve stresses related to an actual reference configuration used in the formulation for the contacting bodies. Finite element discretization is introduced for the layer in order to calculate the unknown field of displacements. Computational examples demonstrate properties of the contact element and its range of applicability in the analysis of large deformation contact problems including relative sliding of curved surface

ISSN:1069-8299    

DOI:10.1002/cnm.1640101104

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractThe paper presents boundary integral equation to two‐dimensional elasticity with the stress component σijtitjas one of the boundary values, wheretiare direction cosines of the tangent on the boundary. This form of BEM has an advantage in that the stress component σijtitjon the boundary can be calculated directly from the numerical solution. The present formulation for planar problems uses two kernels, one of which is logarithmic singular and the other is 1/rsingular. The effectiveness of the approach is also discussed through some test examp

ISSN:1069-8299    

DOI:10.1002/cnm.1640101105

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractA finite difference scheme is derived to solve for the probability density that a moving point, whose velocity is continually pertubed by Gaussian white noise, reaches a given target within a given time period. The numerical scheme is applied to the problem of finding the probability that two moving spheres collide.

ISSN:1069-8299    

DOI:10.1002/cnm.1640101106

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractBased on the concept of the Laplacian matrix of a graph, this paper presents the SGPD (spectral graph pseudoperipheral and pseudodiameter) algorithm for finding a pseudoperipheral vertex or the end‐points of a pseudodiameter in a graph. This algorithm is compared with the ones by Grimeset al.(1990), George and Liu (1979), and Gibbset al.(1976). Numerical results from a collection of benchmark test problems show the effectiveness of the proposed algorithm. Moreover, it is shown that this algorithm can be efficiently used in conjunction with heuristic algorithms for ordering sparse matrix equations. Such heuristic algorithms, of course, must be the ones which use the pseudoperipheral vertex or pseudodiameter concept

ISSN:1069-8299    

DOI:10.1002/cnm.1640101107

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractNumerical viscosities of finite‐difference schemes are usually obtained from truncation‐error analyses based on Taylor series expansions. Here we observe that numerical viscosities can also be obtained very simply and directly from the growth factor ξ in a conventional Fourier stability analysis. A general formula is derived for the numerical viscosity in terms of the first and second derivatives of ξ with respect to the wavenumberk, evaluated atk= 0. A single Fourier analysis therefore suffices to determine both stability limits and numerical viscos

ISSN:1069-8299    

DOI:10.1002/cnm.1640101108

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractA finite element program is developed as a tool to analyse shells of revolution with local non‐linearities. In reality, shells of revolution often exhibit local deviations, like a cut‐out, a junction and/or an imperfection. The stress concentration around a local deviation may produce plasticity and/or geometric non‐linearities in the surrounding region. The analytical model consists of three different types of elements: rotational, transitional and general. The rotational shell elements are used in the region where the shell is axisymmetrical and linear, while the two‐dimensional general shell elements are deployed in the deviation region where non‐linearities may occur. Transitional shell elements connect the two distinctively different types of elements to achieve displacement field continuities. The solution using the local‐global system with appropriate condensation and a predicted stress incremental procedure is suggested. It is shown that the technique is a very attractive alternative to the entirely general element style analysis for axisymetric shell structures with local

ISSN:1069-8299    

DOI:10.1002/cnm.1640101109

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractA sixth‐order and a ninth‐order method are developed for the numerical solution of special non‐linear third‐order boundary value problemsy‴= ø(x,y),a

ISSN:1069-8299    

DOI:10.1002/cnm.1640101110

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

ISSN:1069-8299    

DOI:10.1002/cnm.1640101111

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY