A least-squares variational method for full-field reconstruction of elastic deformations in shear-deformable plates and shells

DOI10.1016/j.cma.2004.03.015zbMath1143.74377OpenAlexW1973829237MaRDI QIDQ1777114

Jan L. Spangler, Alexander Tessler

Publication date: 12 May 2005

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.2004.03.015

zbMATH Keywords

Finite element methodVariational principleInverse problemStructural health monitoringLeast-squares functionalPlates and shellsShear-deformation theory

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25)

Related Items (6)

Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures ⋮ Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress ⋮ A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation ⋮ A NURBS-based inverse analysis for reconstruction of nonlinear deformations of thin shell structures ⋮ A Comparative Study of Uncertainty Propagation Methods in Structural Problems ⋮ To solve the inverse Cauchy problem in linear elasticity by a novel Lie-group integrator

Cites Work

• A \(C^ 0\)-anisoparameteric three-node shallow shell element
• A three-node Mindlin plate element with improved transverse shear
• Nonlinear analysis of laminates through a Mindlin-type shear deformable shallow shell element
• Direct identification of non-uniform beams using static strains
• An improved variational method for finite element stress recovery and a posteriori error estimation
• Finite element solution of two-dimensional inverse elastic problems using spatial smoothing
• Investigation of regularization parameters and error estimating in inverse elasticity problems
• On the Theory of Bending of Elastic Plates
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