35 citations · 148 across the 16 of their papers we have counts for
4 papers · 1 filter
Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network
Marvin Fritz, Prashant K. Jha, Tobias Köppl +2
In this work, we present and analyze a mathematical model for tumor growth incorporating ECM erosion, interstitial flow, and the effect of vascular flow and nutrient transport. The…
Nonlocal elastodynamics and fracture
Robert P. Lipton, Prashant K. Jha
A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the nonlocal model are shown to converge in the limit…
Classic dynamic fracture recovered as the limit of a nonlocal peridynamic model: The single edge notch in tension
Robert Lipton, Prashant K. Jha
A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The fracture evolution is shown to converge in the limit of vanishing nonlocality to classi…
Complex fracture nucleation and evolution with nonlocal elastodynamics
Robert Lipton, Stewart Silling, Richard Lehoucq
A mechanical model is introduced for predicting the initiation and evolution of complex fracture patterns without the need for a damage variable or law. The model, a continuum vari…