Modeling and simulations of collapse instabilities of microbeams due to capillary forces.
Ouakad, Hassen M., Younis, Mohammad I. (2009)
Mathematical Problems in Engineering
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Ouakad, Hassen M., Younis, Mohammad I. (2009)
Mathematical Problems in Engineering
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Takeshi Takaishi, Masato Kimura (2009)
Kybernetika
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A phase field model for anti-plane shear crack growth in two dimensional isotropic elastic material is proposed. We introduce a phase field to represent the shape of the crack with a regularization parameter and we approximate the Francfort–Marigo type energy using the idea of Ambrosio and Tortorelli. The phase field model is derived as a gradient flow of this regularized energy. We show several numerical examples of the crack growth computed with an adaptive mesh finite element method. ...
Beneš, M. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Roytburd, V. (1983)
International Journal of Mathematics and Mathematical Sciences
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Coda, Humberto Breves, Paccola, Rodrigo Ribeiro (2009)
Mathematical Problems in Engineering
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M.ª Isabel Asensio, Luis Ferragut, Jacques Simon (2002)
RACSAM
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We present a model coupling the fire propagation equations in a bidimensional domain representing the surface, and the air movement equations in a three dimensional domain representing an air layer. As the air layer thickness is small compared with its length, an asymptotic analysis gives a three dimensional convective model governed by a bidimensional equation verified by a stream function. We also present the numerical simulations of these equations.
Lacarbonara, Walter, Pacitti, Arnaud (2008)
Mathematical Problems in Engineering
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Saldia, J.P., Cimino, A., Schulz, W., Elaskar, S., Costa, A. (2009)
Mathematical Problems in Engineering
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