A high-order numerical manifold method with continuous stress/strain field

By Yongtao Yang, Guanhua Sun, Hong Zheng. 2020

51 citations recorded by the source corpus.

Abstract Recent attempts to solve solid mechanical problems using the numerical manifold method (NMM) are very fruitful. In the present work, a high-order numerical manifold method (HONMM) which is able to obtain continuous stress/strain field is proposed. By employing the same discretized model as the traditional NMM (TNMM), the proposed HONMM can yield much better accuracy without increasing the number of degrees of freedom (DOFs), and obtain continuous stress/strain field without recourse any stress smoothing operation in the post-processing stage. In addition, the “linear dependence” (LD) issue does not exist in the HONMM, and traditional equation solvers can be employed to solve the simultaneous algebraic equations. A number of numerical examples including four linear elastic continuous problems and five cracked problems are solved with the proposed method. The results show that the proposed HONMM performs much better than the TNMM.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/79f279f5001456a7182d86b0a44e11bad2d68a4e

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In Civil and Structural Engineering

  1. Wenan Wu
  2. Yongtao Yang
  3. Hong Zheng
  4. Guanhua Sun

In Computational Mechanics

  1. Yongtao Yang
  2. Wenan Wu
  3. Hong Zheng

In Mechanics of Materials

  1. Wenan Wu
  2. Yongtao Yang
  3. Hong Zheng
  4. Guanhua Sun

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