A concise derivation of membrane theory from three-dimensional nonlinear elasticity
From MaRDI portal
Publication:1039339
DOI10.1007/s10659-009-9209-1zbMath1255.74042OpenAlexW2064627590MaRDI QIDQ1039339
Publication date: 27 November 2009
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.372.8592
Related Items
Mechanics of materially uniform thin films ⋮ A novel continuum mechanical framework for decoupled material behavior in thickness and in-plane directions ⋮ Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence ⋮ A well-posed finite-strain model for thin elastic sheets with bending stiffness ⋮ A nonlinear thermomechanical formulation for anisotropic volume and surface continua ⋮ A unified computational framework for bulk and surface elasticity theory: a curvilinear-coordinate-based finite element methodology ⋮ At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola ⋮ Large deformations of 1D microstructured systems modeled as generalized Timoshenko beams ⋮ Position-based dynamic of a particle system: a configurable algorithm to describe complex behaviour of continuum material starting from swarm robotics ⋮ Flexoelectricity in soft materials and biological membranes ⋮ Modeling and analysis of a magnetoelastic annular membrane placed in an azimuthal magnetic field ⋮ Flexoelectricity and the entropic force between fluctuating fluid membranes
Cites Work
- Unnamed Item
- Thin-plate theory for large elastic deformations
- Unbounded branches of classical injective solutions to the forced displacement problem in nonlinear elastostatics
- The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
- Bending energy of highly elastic membranes. II
