By Chia-Shung Yih

ISBN-10: 0120020122

ISBN-13: 9780120020126

This hugely acclaimed sequence offers survey articles at the current country and destiny path of study in very important branches of utilized mechanics

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Extra info for Advances in Applied Mechanics, Vol. 12

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For the formulation of the hybrid stress model it is only necessary to interpolate the displacements individually along portions of the element boundary; hence it is a much easier task to construct the appropriate compatible functions. It should be noted that when the displacements u , are fixed on the interelement boundaries T,, is a minimum with respect to the stress variables u I j . However, 7rm, becomes a maximum with respect to u, when ~ 7 are , ~ expressed in terms of u , . In the finite element solution, the increase of the number of the stress parameters /3 will tend to decrease the value of r m c , while the increase of the number of the boundary displacement parameters Thus there exists an optimum relation between will tend to increase rm,.

BABUSKA, I. (1971). Error-bounds for finite element method. Numer. Math. 16, 322333. BELL,K. (1969). A refined triangular plate bending finite element. Znt. J . Numer. Method Eng. 1, 101-122. , BADER,R. , MYKYTOW, W. , PRZEMIENIECKI, J. , and SHIRK,M. , eds. (1969). “ Proceedings of the Second Conference on Matrix Methods in Structural Mechanics,” AFFDL-TR-68-150. Wright Patterson Air Force Base, Ohio. BESSELING, J. F. (1963). T h e complete analogy between the matrix equations and continuous field equations of structural analysis.

EM4, 931-946. , IRONS,B. , and ZIENKIEWICZ, 0. C. (1968). Curved, isoparametric ‘quadrilateral’ elements for finite element analysis. Znt. J . Solids Struct. 4, No. 1, 31-42. R. W. (1970). The finite element method in solid mechanics. FELIPPA,C. , and CLOUGH, Zn “ Numerical Solution of Field Problems in Continuum Physics ” (G. Birkhoff and R. S. ), pp. 210-252. Amer. Math. I. , and STRANG,G. (1969). Fourier analyses of the finite element method in RitzGalerkin theory. Stud. Appl. Math: 48, 265-273.

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Advances in Applied Mechanics, Vol. 12 by Chia-Shung Yih

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