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math.AP2026
Existence of thermodynamically consistent solutions for data-driven porous media problems
Ramon Codina, Cristian Guillermo Gebhardt, Michael Ortiz
Data-Driven Computational Mechanics (DDCM) replaces traditional phenomenological constitutive models by directly reformulating boundary-value problems in terms of local material st…
math.AP2026
Intrinsic Structure of Elasticity in Hilbert Space
Cristian G. Gebhardt, Johannes Lankeit, Marc C. Steinbach
Mathematical elasticity has a long history and a huge body of literature. Surprisingly, at its heart elasticity exhibits a rich and transparent structure that, to our knowledge, is…