On the nonlinear mechanics of discrete networks
From MaRDI portal
Publication:1361189
DOI10.1007/s004190050119zbMath0879.73045OpenAlexW2073490690MaRDI QIDQ1361189
Ali Asghar Atai, David J. Steigmann
Publication date: 29 January 1998
Published in: Archive of Applied Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s004190050119
uniquenessconvexityequilibrium problemfibre slackeninglong-time limit of artificial dynamical problemnecessary and sufficient conditions for minimum-energy configurationsnonlinear elastic networks
Nonlinear elasticity (74B20) Thin bodies, structures (74K99) Optimization of other properties in solid mechanics (74P10)
Related Items (21)
Extensional \textit{Elastica} in large deformation as \(\Gamma \)-limit of a discrete 1D mechanical system ⋮ Intrinsic formulation and Lagrange duality for elastic cable networks with geometrical nonlinearity ⋮ A computational framework for network modeling of fibrous biological tissue deformation and rupture ⋮ Equilibrium paths of Hencky pantographic beams in a three-point bending problem ⋮ Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids ⋮ Topology optimization of tensegrity structures under compliance constraint: a mixed integer linear programming approach ⋮ Large deformations of Timoshenko and Euler beams under distributed load ⋮ Electromagnetically-induced deformation of functionalized fabric ⋮ Micromechanical modeling and numerical simulation of chain-mail armor ⋮ Modelling the deep drawing of a 3D woven fabric with a second gradient model ⋮ Modeling and simulation of electrification delivery in functionalized textiles in electromagnetic fields ⋮ 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 ⋮ Optimization-based stability analysis of structures under unilateral constraints ⋮ Numerical simulation of a cod end net. I: Equilibrium in a uniform flow ⋮ Multiscale construction and large-scale simulation of structural fabric undergoing ballistic impact ⋮ High-speed impact of electromagnetically sensitive fabric and induced projectile spin ⋮ A theory for nonlinear soft webs ⋮ Modeling the onset of shear boundary layers in fibrous composite reinforcements by second-gradient theory ⋮ How the Properties of Pantographic Elementary Lattices Determine the Properties of Pantographic Metamaterials ⋮ Impact and penetration resistance of network models of coated lightweight fabric shielding ⋮ A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling
This page was built for publication: On the nonlinear mechanics of discrete networks