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Related papers: Coupled thermoelastic isotropic laminates

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The analysis of the mathematical and mechanical properties of thermoelastic coupling tensors in anisotropic laminates is the topic of this paper. Some theoretical results concerning the compliance tensors are shown and their mechanical…

Analysis of PDEs · Mathematics 2024-04-03 Paolo Vannucci

In the equivalent single layer theories of anisotropic laminates, the coupling tensor B describes the relation between the in- and out-of plane behavior of the plate. This tensor has some peculiar characteristics and in particular it is not…

Mathematical Physics · Physics 2024-06-27 P. Vannucci

This paper contains a set of theoretical results concerning the coupling tensor B of an anisotropic laminate and of its compliance corresponding B. The theoretical analysis and the mechanical results are obtained through an extensive use of…

Mathematical Physics · Physics 2023-11-15 Paolo Vannucci

The topic faced here is the modeling of an axisymmetric multilayer structure. An exact analytical formulation is proposed in the framework of the plane strain problem for a cylinder encircled by annular layers. Isotropic linear…

Materials Science · Physics 2015-11-23 Gennaro Vitucci , Gennady Mishuris

The ability to design and fabricate materials with tailored mechanical properties, combined with immunity to damage, is a frontier of materials engineering. For example, materials which are characterized by elastic properties that depend on…

Soft Condensed Matter · Physics 2017-07-07 Osama R. Bilal , Roman Süsstrunk , Chiara Daraio , Sebastian D. Huber

We shall consider some common models in linear thermo-elasticity within a common structural framework. Due to the flexibility of the structural perspective we will obtain well-posedness results for a large class of generalized models…

Mathematical Physics · Physics 2016-10-27 Santwana Mukhopadhyay , Rainer Picard , Sascha Trostorff , Marcus Waurick

(Electric) polarization tensors describe part of the leading order term of asymptotic voltage perturbations caused by low volume fraction inhomogeneities of the electrical properties of a medium. They depend on the geometry of the support…

Analysis of PDEs · Mathematics 2015-09-25 Roland Griesmaier , Martin Hanke

A selection of open problems in the theory of composites is presented. Particular attention is drawn to the question of whether two-dimensional, two-phase, composites with general geometries have the same set of possible effective tensors…

Analysis of PDEs · Mathematics 2021-06-09 Graeme W. Milton

Explicit expressions for the behavior of statistically isotropic composites with viscoelastic matrices and linear elastic inclusions are determined by application of the correspondence principle. The behavior of the matrix is linear in…

Materials Science · Physics 2007-05-23 Gal deBotton , Limor Tevet-Deree

This paper presents a theory for the behaviour of isotropic-hardening/softening elastoplastic materials that do not have a preferred reference configuration. In spite of important differences, many ingredients of classical plasticity are…

Mathematical Physics · Physics 2011-01-11 José Jorge Nader

Mechanically bonded membranes of interlocked ring polymers are a significant generalization of conventional elastic sheets, where connectivity is provided by covalent bonding, and represent a promising class of topological meta-materials.…

Soft Condensed Matter · Physics 2024-06-21 Juan Luengo-Márquez , Salvatore Assenza , Cristian Micheletti

Layered systems shows anisotropic transport properties. The interlayer conductivity show a general temperature dependence for a wide class of materials. This can be understood if conduction occurs in two different channels activated at…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Urban Lundin , Ross H. McKenzie

A theory of mechanical behaviour of the magneto-sensitive elastomers is developed in the framework of a linear elasticity approach. Using a regular rectangular lattice model, different spatial distributions of magnetic particles within a…

Soft Condensed Matter · Physics 2011-07-15 D. Ivaneyko , V. Toshchevikov , M. Saphiannikova , G. Heinrich

Designing anisotropic structured materials by reducing symmetry results in unique behaviors, such as shearing under uniaxial compression or tension. This direction-dependent coupled mechanical phenomenon is crucial for applications such as…

Materials Science · Physics 2024-08-06 Jagannadh Boddapati , Chiara Daraio

We present new general relationships among the material properties of an isotropic material kept in homogeneous stress conditions with hydrostatic pressure and plane shear. The derivation is not limited to the proximity of the zero…

Soft Condensed Matter · Physics 2019-05-01 Amilcare Porporato , Salvatore Calabrese , Tomasz Hueckel

A rigorous unified perspective of cohesive zone models is presented, including and comparing potential-based and non potential-based formulations, and encompassing known examples studied in literature. The main novelty of the work consists…

Analysis of PDEs · Mathematics 2025-03-05 Francesco Freddi , Filippo Riva

Magnetic elastomers are appealing materials from an application point of view: they combine the mechanical softness and deformability of polymeric substances with the addressability by external magnetic fields. In this way, mechanical…

Soft Condensed Matter · Physics 2015-06-22 Elshad Allahyarov , Andreas M. Menzel , Lei Zhu , Hartmut Löwen

While isotropic in-plane swelling problems for thin elastic sheets have been studied extensively in recent years, many shape-programmable materials, including nematic solids and 3D-printed structures, are anisotropic, as are most industrial…

Soft Condensed Matter · Physics 2021-05-25 H. G. Wood , J. A. Hanna

In this paper, we consider the isotropic relaxed micromorphic model in polar coordinates and use this representation to solve explicitly an elastostatic axisymmetric extension problem involving a linear system of ordinary differential…

Analysis of PDEs · Mathematics 2024-12-06 Esmaeal Ghavanloo , Patrizio Neff

The deformation problem for a transversely isotropic elastic layer bonded to a rigid substrate and coated with a very thin elastic layer made of another transversely isotropic material is considered. The leading-order asymptotic models (for…

Analysis of PDEs · Mathematics 2015-04-28 Ivan Argatov , Gennady Mishuris
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