Unconstrained finite element for geometrical nonlinear dynamics of shells.
Coda, Humberto Breves, Paccola, Rodrigo Ribeiro (2009)
Mathematical Problems in Engineering
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Coda, Humberto Breves, Paccola, Rodrigo Ribeiro (2009)
Mathematical Problems in Engineering
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Barboteu, M., Hoarau-Mantel, T.-V., Sofonea, M. (2003)
Journal of Applied Mathematics
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Mikael Barboteu, Jose Ramon Fernández, Youssef Ouafik (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this work, we consider the quasistatic frictionless contact problem between a viscoelastic piezoelectric body and a deformable obstacle. The linear electro-viscoelastic constitutive law is employed to model the piezoelectric material and the normal compliance condition is used to model the contact. The variational formulation is derived in a form of a coupled system for the displacement and electric potential fields. An existence and uniqueness result is recalled. Then, a fully discrete...
Wen, Liu, Lei, Shi, Xiangzhong, Bai (2011)
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. ...
Yuan, Xiaofeng, Tada, Yukio (2001)
Mathematical Problems in Engineering
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Marco Campo, José R. Fernández, Georgios E. Stavroulakis, Juan M. Viaño (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper, we study the dynamic frictional contact of a viscoelastic beam with a deformable obstacle. The beam is assumed to be situated horizontally and to move, in both horizontal and tangential directions, by the effect of applied forces. The left end of the beam is clamped and the right one is free. Its horizontal displacement is constrained because of the presence of a deformable obstacle, the so-called foundation, which is modelled by a normal compliance contact condition. The...
A. Gesualdo, F. Guarracino, V. Mallardo, V. Minutolo, L. Nunziante (1997)
Extracta Mathematicae
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In this work the problem of identificating flaws or voids in elastic solids is addressed both from a theoretical and an experimental point of view. Following a so called inverse procedure, which is based on appropriately devised experiments and a particular bounding of the strain energy, a gap functional for flaw identification is proposed.