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The mechanism underlying the divergence of perturbation theory is exposed. This is done through a detailed study of the violation of the hypothesis of Lebesgue's dominated convergence theorem using familiar techniques of quantum held theory. Tha[...]texto impreso
Herrero, Miguel A. ; Oleaga Apadula, Gerardo Enrique ; Echeverri, L.F. ; López, J. M. | Springer | 2014-12This work is concerned with the sequence of events taking place during the first stages of bone fracture healing, from bone breakup until the formation of early fibrous callus (EFC). The latter provides a scaffold over which subsequent remodelin[...]texto impreso
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We introduce a three-dimensional dynamic crack propagation law, which is derived from Hamilton's principle. The result is an extension of a previous one obtained, corresponding to the two-dimensional case. As a matter of fact, in an orthogonal p[...]texto impreso
Herrero, Miguel A. ; Oleaga Apadula, Gerardo Enrique ; Velázquez, J.J. L. | American Mathematical Society | 2006This work deals with the linear wave equation considered in the whole plane R2 except for a rectilinear moving slit, represented by a curve ? (t) = {(x1, 0) : ??texto impreso
A method for finding the path of a quasi-static crack growing in a brittle body is presented. The propagation process is modelled by a sequence of discrete steps optimizing the elastic energy released. An explicit relationship between the optima[...]texto impreso
Oleaga Apadula, Gerardo Enrique ; Herrero, Miguel A. ; Velázquez, J.J. L. | Royal Society of London | 2004-02-08Consider a crack propagating in a plane according to a loading that results in anti-plane shear deformation. We show here that if the crack path consists of two straight segments making an angle psi not equal 0 at their junction, examples can be[...]texto impreso
Herrero, Miguel A. ; Oleaga Apadula, Gerardo Enrique ; Velázquez, J.J. L. | Royal Society of London | 2004Consider a crack propagating in a plane according to a loading that results in anti-plane shear deformation. We show here that if the crack path consists of two straight segments making an angle psi not equal 0 at their junction, examples can be[...]texto impreso
Arias, C. F. ; Bertocchini, F. ; Herrero, Miguel A. ; Oleaga Apadula, Gerardo Enrique | Cambridge University Press | 2020-12-23One of the most remarkable aspects of human homeostasis is bone remodeling. This term denotes the continuous renewal of bone that takes place at a microscopic scale and ensures that our skeleton preserves its full mechanical compliance during ou[...]texto impreso
A basic law of motion for a dynamic crack propagating in a brittle material is derived in the case of two space dimensions. The only basic assumptions for this purpose are the energy conservation law and a variational inequality following the we[...]texto impreso
In this note we study a basic propagation criterion for quasi-static crack evolution in Mode III. Using classical techniques of complex analysis, the assumption of stable growth is expressed in terms of the parameters defining the elastic field [...]texto impreso
Alfimov, G. L. ; Nosyrev, G. V. ; Panin, V. ; Arzhantseva, A. ; Oleaga Apadula, Gerardo Enrique | Wiley-Blackwell | 2013-10The main objective of this study is to recover the initial geometry of earthen walls from the shape of wall remains. The original parameters of the walls have been estimated by fitting the field-measured profiles with the theoretical shape predi[...]texto impreso
We study the propagation of a crack in critical equilibrium for a brittle material in a Mode III field. The energy variations for small virtual extensions of the crack are handled in a novel way: the amount of energy released is written as a fun[...]
