REVIEW 2 cited by
A Hidden Convexity in Continuum Mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
A methodology for defining variational principles for a class of PDE models from continuum mechanics is demonstrated, and some of its features explored. The scheme is applied to quasi-static and dynamic models of rate-independent and rate-dependent, single crystal plasticity at finite deformation.
Forward citations
Cited by 2 Pith papers
-
Variational formulation based on duality to solve partial differential equations: Use of B-splines and machine learning approximants
The authors extend their prior dual (Lagrange multiplier) variational framework to steady and transient convection-diffusion and heat equations, discretizing with B-splines or RePU networks, and report numerical accur...
-
Solving the Dissipation Inequality not as a constitutive restriction
A variational scheme treats the dissipation inequality as an optimization constraint and repairs a deliberately invalid plastic flow rule in a 1D bar, restoring thermodynamic admissibility.
Discussion (0). Continue with ORCID to comment.