Computational methods for estimation in the modeling of nonlinear elastomers
H. T. Banks, Nancy J. Lybeck, M. J. Gaitens, B. C. Muñoz, L. C. Yanyo (1996)
Kybernetika
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H. T. Banks, Nancy J. Lybeck, M. J. Gaitens, B. C. Muñoz, L. C. Yanyo (1996)
Kybernetika
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Silveira, Ricardo A.M., Pereira, Wellington L.A., Gonçalves, Paulo B. (2008)
Mathematical Problems in Engineering
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Janovský, Vladimír
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We consider a contact problem of planar elastic bodies. We adopt Coulomb friction as (an implicitly defined) constitutive law. We will investigate highly simplified lumped parameter models where the contact boundary consists of just one point. In particular, we consider the relevant static and dynamic problems. We are interested in numerical solution of both problems. Even though the static and dynamic problems are qualitatively different, they can be solved by similar piecewise-smooth...
Coda, Humberto Breves, Paccola, Rodrigo Ribeiro (2009)
Mathematical Problems in Engineering
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Tolou, N., Herder, J.L. (2009)
Mathematical Problems in Engineering
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Lacarbonara, Walter, Pacitti, Arnaud (2008)
Mathematical Problems in Engineering
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El-Hassan Benkhira, Rachid Fakhar, Youssef Mandyly (2021)
Applications of Mathematics
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We consider two static problems which describe the contact between a piezoelectric body and an obstacle, the so-called foundation. The constitutive relation of the material is assumed to be electro-elastic and involves the nonlinear elastic constitutive Hencky's law. In the first problem, the contact is assumed to be frictionless, and the foundation is nonconductive, while in the second it is supposed to be frictional, and the foundation is electrically conductive. The contact is modeled...
Jeongho Ahn (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this work, we consider dynamic frictionless contact with adhesion between a viscoelastic body of the type and a stationary rigid obstacle, based on the Signorini's contact conditions. Including the adhesion processes modeled by the bonding field, a new version of energy function is defined. We use the energy function to derive a new form of energy balance which is supported by numerical results. Employing the time-discretization, we establish a numerical formulation and investigate...
M. Stavroulaki, G. Stavroulakis (2002)
International Journal of Applied Mathematics and Computer Science
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Nonsmooth analysis, inequality constrained optimization and variational inequalities are involved in the modelling of unilateral contact problems. The corresponding theoretical and algorithmic tools, which are part of the area known as nonsmooth mechanics, are by no means classical. In general purpose software some of these tools (perhaps in a simplified way) are currently available. Two engineering applications, a rubber-coated roller contact problem and a masonry wall, solved with...