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math.AP2020
Sharp conditions for the linearization of finite elasticity
Edoardo Mainini, Danilo Percivale
We consider the topic of linearization of finite elasticity for pure traction problems. We characterize the variational limit for the approximating sequence of rescaled nonlinear e…
math.AP2020
Variational linearization of pure traction problems in incompressible elasticity
Edoardo Mainini, Danilo Percivale
We consider pure traction problems and we show that incompressible linearized elasticity can be obtained as variational limit of incompressible finite elasticity under suitable con…
math.AP2020★ 1 cited
Linearization of elasticity models for incompressible materials
Edoardo Mainini, Danilo Percivale
We obtain linear elasticity as -limit of finite elasticity under incompressibility assumption and Dirichlet boundary conditions. The result is shown for a large class of energy…