hr. 1. SoM.rSlrucruresVol. 22, No. Ii, PP. 1213-1229.1986 Printed in Great Britain. 0020-7683/86 53X10+ .OO Perymon Journals Ltd. ELASTO-PLASTIC PLATE BENDING ANALYSIS BY A ROUNDARY ELEMENT METHOD WITH INITIAL PLASTIC MOMENTS A. M~SHAIOV Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A. and w. s. VORUS Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, MI 48109, U.S.A. (Received I I Drcdt~r 1984 ; in revi.& form 20 Scplember 1985) Abstract-The analysis of elasto-plastic plate bending using a boundary integral equation for- mulation is described. The integral equations are solved using standard boundary element techniques. The plasticity, as well as the external lateral load, appears in a domain integral. The solution is obtained by an incremental loading procedure with the initial incremental plastic moments calculated by an iterative method. Several study cases are examined and good agreement is shown with published results obtained by the finite element method. NOMENCLATURE u plate half thickness [Al, WI, WI, [“A”] matrices PI, WI, PI, [es” symbol for the mth comer matrices [cl* [Cl matrices D plate stiffness PI. PI ID]‘* K E [F”]. [F{ G k K L M”, M”,, w, MA, M!, w, M.!, WY, M,p WY A ; r [RI r: r matrices matrices for stress-strain relations matrix relating plastic and total strain Young’s modulus yield surface mWiccu . . shear modulus matrices slope of the uniaxial stress-strain curve matrices number of boundary elements hardening parameter number of domain elements number of corners moments plastic moments plastic moments matrix of plastic moments outward unit normal lateral load a point point on the boundary a load vector a point matrices radius vector a matrix plate area a matrix tangential unit vector matrices fundamental solutions 1213
ELASTO-PLASTIC PLATE BENDING ANALYSIS BY A ROUNDARY ELEMENT METHOD WITH INITIAL PLASTIC MOMENTS
Jun 12, 2023
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