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