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Growth and non-metricity in Föppl-von Kármán shells

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Publication:2196519
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DOI10.1007/s10659-020-09766-9zbMath1440.74093OpenAlexW3008052479MaRDI QIDQ2196519

Ayan Roychowdhury, Anurag Gupta

Publication date: 2 September 2020

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-020-09766-9


zbMATH Keywords

growthnon-metricity tensorshallow shellsFöppl-von Kármán equations


Mathematics Subject Classification ID

Plates (74K20) Inhomogeneity in solid mechanics (74E05) Shells (74K25) Applications of differential geometry to physics (53Z05) Membranes (74K15)


Related Items (2)

Asymptotic justification of equations for von Kármán membrane shells ⋮ The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation



Cites Work

  • Unnamed Item
  • A geometric theory of nonlinear morphoelastic shells
  • A theory of shells with small strain accompanied by moderate rotation
  • On structured surfaces with defects: geometry, strain incompatibility, stress field, and natural shapes
  • Non-metric connection and metric anomalies in materially uniform elastic solids
  • The shape of a long leaf
  • The Bending and Stretching of Plates
  • On thermal effects in the theory of shells


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