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Titlebook: Mathematical Modelling in Solid Mechanics; Francesco dell‘Isola,Mircea Sofonea,David Steigman Book 2017 Springer Nature Singapore Pte Ltd.

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A History-Dependent Variational-Hemivariational Inequality in Contact Mechanics,astic body and a rigid foundation covered by a deformable layer made of soft material and a thin crust. We describe the model, list the assumption on the data and derive a variational formulation of the problem. Then, we prove the unique weak solvability of the model. The proof is based on arguments
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Monolithic Algorithm for Dynamic Fluid-Structure Interaction Problem,written in Arbitrary Lagrangian Eulerian coordinates. The global moving mesh for the fluid-structure domain is aligned with the fluid-structure interface. At each time step, we solve a monolithic system of unknowns velocity and pressure defined on the global mesh. The continuity of velocity at the i
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Elastic-Plastic Rolling Contact Problems with Graded Materials and Heat Exchange, the obstacle is assumed, i.e., mechanical and thermal properties of the obstacle coating material near its surface are dependent on the spatial variable. The elastic-plastic graded model of the coating layer rather than elastic one is assumed. A variational formulation of this dynamic contact pheno
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Continuum Physics with Violations of the Second Law of Thermodynamics,is means that the deterministic continuum thermomechanics must be generalized to a stochastic theory allowing randomly spontaneous violations of the Clausius–Duhem inequality to take place anywhere in the material domain. This paper outlines possible extensions of stochastic continuum thermomechanic
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An Inverse Method to Get Further Analytical Solutions for a Class of Metamaterials Aimed to Validatial. The reason for this last choice is that such anisotropy is the most general for pantographic structures, which exhibit attracting mechanical properties. In this paper we analyze the role of the external body double force . on the partial differential equations and we subsequently revisit some a
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Models of Debonding Caused by Vibrations, Heat and Humidity,, temperature variations and moisture or humidity. These issues are very common in many parts of the world in which systems, such as automotive systems that have parts that are glued together, have to operate in adverse conditions of large variations in temperature and very high humidity. The model
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A Variational-Hemivariational Inequality in Contact Mechanics,er made of soft material. We study the model in the form of a variational-hemivariational inequality for the displacement field. We review a unique solvability result of the problem under certain assumptions on the data. Then we turn to the numerical solution of the problem, based on the finite elem
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