Efficient linear and nonlinear heat conduction with a quadrilateral element. LIU, W. K.; BELYTSCHKO, T. (Northwestern University, Evanston, IL) Northwestern Univ.., Evanston, Ill. Corp. Source Code: N6683851 International Journal for Numerical Methods in Engineering (ISSN 0029-5981), vol. 20, May 1984, p. 931-948. 16 Fiefs. Contract No.: NAGI-210; F49620-82-K-0013 Language: Eng1 i sh. Country of Origin: United States. Country of Publication: United K i n g dom Document Type: JOURNAL ARTICLE Most documents available from AIAA Technical Library Journal Announcement: IAA8418 A method is presented for performing efficient and stable finite element calculations of heat conduction with quadri1aterals using one-point quadrature. The stability in space is obtained by using a stabilization matrix which is orthogonal to all linear fields and its magnitude is determined by a stabilization parameter. It is shown that the accuracy is almost independent of the value of the stabilization parameter over a wide range of values; in fact, the values 3, 2 and 1 for the normalized stabilization parameter lead to the 5-point finite difference, 9-point finite difference and fully integrated finite element operators, respectively, for rectangular meshes; numerical experiments reported here show that the three have identical rates of convergence in the L2 norm. Eigenvalues of the element matrices, which are needed for stability limits, are also given. Numerical applications are used to show that the method yields accurate solutions with large increases in efficiency, parti cu1 ar1y in non1i near problems. (Author) Source of Abstract (Subfile): AIAA/TIS Descriptors: ♦CONDUCTIVE HEAT TRANSFER; *FINITE ELEMENT METHOD; ♦LINEAR ENERGY TRANSFER (LET); *NONLINEAR EQUATIONS; ♦TRANSIENT HEATING; EIGENVALUES; FINITE DIFFERENCE THEORY; ISOPARAMETRIC FINITE ELEMENTS Some inherently 3-dimensional problems in linear elastic fracture mechanics. Ph.D. Thesis. BURTON, W. S. Carnegie-Mellon Univ., Pittsburgh, Pa. Corp. Source Code: CH188052 1984. 87P. Language: English. Country of Origin; United States. Country of Publication: United States Document Type: THESIS Most documents available from AIAA Technical Library- Other Avai1abi1ity: Univ. Microfilms Order No. DA8414735 Journal Announcement: STAR8423 Some elastic configurations containing cracks under- transverse tension which intersect a free surface are investigated. A numerical treatment of a set of integral
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