Understanding the First Order Inhomogeneous Linear Elasticity through Local Gauge Transformations
From MaRDI portal
Publication:6369979
DOI10.1007/S00419-022-02199-XarXiv2106.05774MaRDI QIDQ6369979
Publication date: 10 June 2021
Abstract: It is well-known that classical linear elasticity equations are not form-invariant under local transformations. This is intrinsically related to the inhomogeneity of elastic media. However, the reported new linear elasticity equations for inhomogeneous media may appear in different forms. This paper tries to clarify this issue by investigating the form-invariance of the Lagrangian under local temporal or spatial gauge transformations. In this way, these new equations in different forms can be easily understood as the results from different choices of gauge fixing schemes. It recommends to choose appropriate gauges with clear physical meanings to simplify calculations.
Linear elasticity with initial stresses (74B10) Kinematics of deformation (74A05) Theory of constitutive functions in solid mechanics (74A20)
This page was built for publication: Understanding the First Order Inhomogeneous Linear Elasticity through Local Gauge Transformations
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6369979)
