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A CONSISTENT ALGORITHM OF NEWTON ITERATION AND ITS APPLICATION IN PLATE BENDING FINITE ELEMENT ANALYSIS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(5): 579-588. DOI: 10.6052/0459-1879-1990-5-1995-987
Citation: A CONSISTENT ALGORITHM OF NEWTON ITERATION AND ITS APPLICATION IN PLATE BENDING FINITE ELEMENT ANALYSIS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(5): 579-588. DOI: 10.6052/0459-1879-1990-5-1995-987

A CONSISTENT ALGORITHM OF NEWTON ITERATION AND ITS APPLICATION IN PLATE BENDING FINITE ELEMENT ANALYSIS

  • The reasons in the loss of accuracy and asymptotic rate of quadratic conver-gency of Newton iteration in finite load increments when using classical tangent stiffness matrix methods of elastoplastic finite element analysis are briefly discussed. A consistent algorithm is proposed which preserves the asymptotic rate of quadratic convergency of Newton iteration and holds a first order accuracy and unconditional stability. It is characterized by the path-independent strategy and the consistent elastoplastic ta...
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