Abstract A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from are shown converge in limit vanishing non-locality solutions classic plane elastodynamics associated with a running crack. We carry out our analysis for plate subject mode one loading. length crack prescribed priori and an increasing function time.

The interaction between a viscous fluid and an elastic solid is modeled by a system of parabolic and hyperbolic equations, coupled to one another along the moving material interface through the continuity of the velocity and traction vectors. We prove the existence and uniqueness (locally in time) of strong solutions in Sobolev spaces for quasilinear elastodynamics coupled to the incompressible...

The interaction between a viscous fluid and an elastic solid is modeled by a system of parabolic and hyperbolic equations, coupled to one another along the moving material interface through the continuity of the velocity and traction vectors. We prove the existence and uniqueness (locally in time) of strong solutions in Sobolev spaces for quasilinear elastodynamics coupled to the incompressible...

The objective of this investigation is the establishment of governing balance and conservation laws in elastodynamics. The feature of the approach employed here consists in placing time on the same level as the space coordinates, as is done in the theory of relativity, i.e., pursuing a 4 · 4 formalism. Both the Lagrangian and the Eulerian descriptions of the postulated Lagrangian function are f...