Geodesic
Configurational balance laws for dynamical fracture
Theoretical and applied mechanics, 28-29 (2002) no. 1.

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In the spirit of modern continuum mechanics, global balance laws for momentum, angular momentum, energy and pseudomomentum are formulated for an elastic body in the presence of a moving crack. Upon localization, the corresponding balance equations in the bulk and at the crack tip are simultaneously obtained. The proposed framework is convenient for the derivation of the well-known formula, which relates the crack propagation velocity, the global material force and the energy release rate. 
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     author = {V. K. Kalpakides and E. K. Agiasofitou},
     title = {Configurational balance laws for dynamical fracture},
     journal = {Theoretical and applied mechanics},
     pages = {205 - 219},
     publisher = {mathdoc},
     volume = {28-29},
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     year = {2002},
     url = {http://geodesic.mathdoc.fr/item/TAM_2002_28-29_1_a10/}
}
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V. K. Kalpakides; E. K. Agiasofitou. Configurational balance laws for dynamical fracture. Theoretical and applied mechanics, 28-29 (2002) no. 1. http://geodesic.mathdoc.fr/item/TAM_2002_28-29_1_a10/