Solving membrane stress on deformed configuration using inverse elastostatic and forward penalty methods

DOI10.1016/j.cma.2016.05.017zbMath1439.74164OpenAlexW2395848253MaRDI QIDQ2308589

Jia Lu, Yuanming Luo

Publication date: 3 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2016.05.017

zbMATH Keywords

membrane stresspenalty methodsstatic determinacyinverse elastostaticsNURBS elements

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Membranes (74K15) Stress (74A10)

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Cites Work

• An optimization approach for material-constant determination for the endochronic constitutive model
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Identification of response functions from axisymmetric membrane inflation tests: Implications for biomechanics
• Constitutive modelling of arteries
• Structural design sensitivity analysis of nonlinear response
• Design sensitivity analysis of non-linear structural systems part I: Theory
• Non-linear theory of curved elastic sheets
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