Li Long-yuan. The Increment Stiffness Matrix and Total Quantum Stiffness in Nonlinear Analyses[J]. Applied Mathematics and Mechanics, 1989, 10(8): 689-692.
Citation: Li Long-yuan. The Increment Stiffness Matrix and Total Quantum Stiffness in Nonlinear Analyses[J]. Applied Mathematics and Mechanics, 1989, 10(8): 689-692.

The Increment Stiffness Matrix and Total Quantum Stiffness in Nonlinear Analyses

  • Received Date: 1988-05-03
  • Publish Date: 1989-08-15
  • In this paper, the expressions of both increment stiffness matrix and total quantum stiffness matrix in nonlinear analyses are derived in detail, and their relationship is discussed in mathematical meaningThe results given in our paper will be of great importance to the analyses of nonlinear numerical and nonlinear stability in finite element methods.
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  • [1]
    Dahlquist,G.and A.Gjörck,Numerical Methods,translated by N.Anderson,Prentice-Hall(1974).
    [2]
    谢贻权、何福保编,《弹性和塑性力学中的有限单元法》,机械工业出版社(1981).
    [3]
    Kratzig,W.B.and Y.Basar,Nonlinear behaviour and elastic stability of shells,Proc.of State-of-the-Art Colloquium,Springer,Berlin,Heidelberg,New York(1982),19-56.
    [4]
    Bathe,K.J.,E.Ramm and E.L.Wilson,Finite element formulations for large displacement and large strain analysis,UC-SESM Report NO.73-14,Division of the Structural Engineering and Structural Meth.,Univ.of California,Berkeley,Feb.(1974).
    [5]
    Kanoknukulchai,W.,A lafge-deformation formulation for shell analysis by the finite element method.Ph.D.Dissertation,Div.of Structural Engineering and Structural Mech.,Univ.of California,Berkelevl(1978).
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