Direct computation of stresses in linear elasticity

• Weifeng Qiu ^[1] ; Minglei Wang ^[3] ; Jiahao Zhang ^[2]
  1. [1] City University of Hong Kong

     City University of Hong Kong

     RAE de Hong Kong (China)

     
  2. [2] Purdue University

     Purdue University

     Township of Wabash, Estados Unidos

     
  3. [3] Shanghai Starriver Bilingual School, China

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• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 292, Nº 1 (15 January 2016), 2016, págs. 363-368
• Idioma: inglés
• DOI: 10.1016/j.cam.2015.07.005
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• Resumen

  • We present a new finite element method based on the formulation introduced by Philippe G. Ciarlet and Patrick Ciarlet, Jr. in Ciarlet and Ciarlet, Jr. (2005), which approximates strain tensor directly. We also show that the convergence rate of strain tensor is optimal. This work is a non-trivial generalization of its two dimensional analogue in Ciarlet and Ciarlet, Jr. (2009).