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On the convexity of phase-field fracture formulations: Analytical study and comparison of various degradation functions

Lampros Svolos, JeeYeon Plohr, Gianmarco Manzini, Hashem M. Mourad

2023International Journal of Non-Linear Mechanics18 citationsDOIOpen Access PDF

Topics & Concepts

Hessian matrixConvexityFracture (geology)Energy functionalContext (archaeology)Displacement fieldApplied mathematicsMathematicsField (mathematics)Mathematical optimizationComputer scienceMathematical analysisMaterials scienceStructural engineeringGeologyEngineeringFinite element methodPaleontologyFinancial economicsEconomicsComposite materialPure mathematicsNumerical methods in engineeringFatigue and fracture mechanicsHigh Temperature Alloys and Creep
On the convexity of phase-field fracture formulations: Analytical study and comparison of various degradation functions | Litcius