Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

E. Mainini - D. Percivale

Sharp conditions for the linearization of finite elasticity

created by mainini on 28 Dec 2020



Inserted: 28 dec 2020

Year: 2020

ArXiv: 2012.10666 PDF


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 elastic energies. We show that the limiting minimal value can be strictly lower than the minimal value of the standard linear elastic energy if a strict compatibility condition for external loads does not hold. The results are provided for both the compressible and the incompressible case.

Credits | Cookie policy | HTML 5 | CSS 2.1