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| A numerical algorithm for the problem of different modulus in tension and compression based on the newton-raphson scheme |
| Received:February 26, 2017 Revised:August 28, 2017 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20170226002 |
| KeyWord:different moduli in tension and compression Newton-Raphson Scheme Heaviside function |
| Author | Institution |
| 乔赫廷 |
沈阳工业大学 机械工程学院, 沈阳 |
| 呼婧 |
沈阳工业大学 机械工程学院, 沈阳 |
| 王世杰 |
沈阳工业大学 机械工程学院, 沈阳 |
| 赵铁军 |
沈阳工业大学 机械工程学院, 沈阳 |
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| Abstract: |
| For strong nonlinear constitutive relationship due to the different moduli in tension and compression,the Heaviside function is introduced into constitutive equation to make it continuous and smoothing.Then,based on the derivatives of eigenvalues and eigenvectors,the formula of tangent stiffness matrix in the finite element model is derived.Finally,a numerical algorithm is presented for the problem of bi-modulus materials based on the Newton-Raphson scheme.Numerical examples are given to demonstrate the more stable convergence and the higher accuracy of the method in this paper than those of the traditional method.The proposed method is particularity suitable for large-scale computations in engineering. |