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Titlebook: Generalized Models and Non-classical Approaches in Complex Materials 1; Holm Altenbach,Joël Pouget,Thomas Michelitsch Book 2018 Springer I

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Axel Schnuch,Berit Christina Carlsen dynamic behaviour. The aim of this chapter is to provide a synthetic picture of the inner resonance phenomena by means of the asymptotic homogenization method (., .). The analysis is based on the comparative study of a few canonical realistic composite media. This approach discloses the common prin
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https://doi.org/10.1007/978-3-030-36335-2id flow is represented by its material or Lagrangian description. A variational approach using Hamilton’s principle is employed, with the incompressibility condition incorporated into the Lagrangian by means of a Lagrange multiplier. The balance of material momentum is obtained in its standard form
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Pidgins and Creoles: Issues for Development,mptions concern the existence of plastic distortion and so-called plastic connection with metric property and the existence of the free energy function. This is dependent on the Cauchy-Green strain tensor, and its gradient with respect to the plastically deformed anholonomic configuration, and on th
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Kaaryn Pederson,Cleusa Coral-Ghanems-section fibers, using the two-scale asymptotic homogenization method (AHM). As a particular case, the effective properties for a layered medium with transversely isotropic properties are obtained. Two times the homogenization method, in different directions, according to the geometrical configurat
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https://doi.org/10.1007/978-3-662-02822-3d. If the resistance to dislocation motion is negligibly small, then excess dislocations pile up against the beam’s neutral line, leaving two small layers near the lateral faces dislocation-free. The threshold value at the onset of plastic yielding, the dislocation density, as well as the moment-cur
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https://doi.org/10.1007/978-1-4615-1983-6ic metamaterials are man-made materials which present exotic properties capable to modify and drive wave propagation. In particular in this work we will focus on locally resonant microstructures. Such metamaterials are based on local resonances of the internal structure, the dimensions of which are
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Qualitative Treatment of Adhesive Contacts,ng of deformation waves in media is analysed involving nonlinear and dispersive effects together with accompanying phenomena caused by thermal or electrical fields. The modelling is based on principles of generalized continuum mechanics developed by G.A. Maugin. The analysis demonstrates the richnes
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Viscoelastic Properties of Elastomers,s. Applications to smectic liquid crystals and to multi-walled nanotube composites serve to show how this dual mathematical approach fits perfectly with the intended physical reality. Moreover, the weak formulation of the theory in terms of de Rham currents delivers the description of discrete isola
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https://doi.org/10.1007/978-3-031-19852-6this class the strain energy density depends on functions which have different differential properties in different spatial directions. As an example of such media we consider the continual models of pantographic beam lattices and smectic and columnar liquid crystals.
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