Abstract
Continuous data dependence estimates are employed to rigorously derive conditions that validate the quasi-static approximation for the initial homogeneous boundary value problem in the theory of small elastic deformations superposed upon large elastic deformations. This theory imposes no sign-definite assumptions on the linearised elastic moduli and in consequence the requisite estimates are established using methods principally motivated by known Lagrange identity arguments.
Original language | English |
---|---|
Article number | 11 |
Journal | Journal of Engineering Mathematics |
Volume | 126 |
Issue number | 1 |
Early online date | 28 Jan 2021 |
DOIs | |
Publication status | Published - Feb 2021 |
Keywords
- Continuous dependence
- Dirichlet boundary conditions
- Lagrange identities arguments
- Linearised elastodynamics
- Quasi-static approximation
ASJC Scopus subject areas
- General Mathematics
- General Engineering