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math.NA2023
Solution of planar elastic stress problems using stress basis functions
Sankalp Tiwari, Anindya Chatterjee
The use of global displacement basis functions to solve boundary-value problems in linear elasticity is well established. No prior work uses a global stress tensor basis for such s…
math.NA2020★ 7 cited
Basis functions for residual stresses
Sankalp Tiwari, Anindya Chatterjee
We consider arbitrary preexisting residual stress states in arbitrarily shaped, unloaded bodies. These stresses must be self-equilibrating and traction free. Common treatments of t…