# Browsing Mathematical Modelling of Structures, Solids and Fluids by Title

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• (2007-10)
A thin soft elasto-plastic interphase between two different media is under consideration. The intermediate layer is assumed to be of infinitesimal thickness and is modelled by non-linear transmission conditions which ...
• (2013)
In recent years, dynamic indentation tests have been shown to be useful both in identification of mechanical properties of biological tissues (such as articular cartilage) and assessing their viability. We consider ...
• (2014-07)
During improved oil recovery (IOR), gas may be introduced into a porous reservoir filled with surfactant solution in order to form foam. A model for the evolution of the resulting foam front known as ` pressure-driven ...
• (2012-05-21)
A general closed-form solution for the so-called rebound indentation test' is obtained for a cylindrical flat-ended punch indenting a linear viscoelastic layer lying on a rigid substrate. Under the assumption of time-independent ...
• (2007)
We present an asymptotic algorithm to solve a problem of wave propagation in a thin bi-material strip with an array of cracks situated at the interface between two materials. For small frequencies we construct an asymptotic ...
• (2001)
The interface crack problem with a nonideal interface described by special transmission conditions is examined. The corresponding modelling boundary value problem is reduced to a system of singular integral equations with ...
• (2009-08-01)
The paper presents asymptotic modelling of the generalized Greenwood problem for an elastic cylinder (considered as a bounded two-dimensional elastic body) pressed between two rigid punches one of them with the dented ...
• (2007)
This paper deals with new analytical modeling of the classic tensile test with an axisymmetric sample and determining the yield stress of elasto-plastic materials under the neck formation. Known for many years. classical ...
• (Elsevier, 2010)
A unilateral axisymmetric contact problem for a biphasic cartilage layer indented by a rigid punch is considered. The refined linearized kinetic relationship which takes into account both the radial and tangential displacements ...
• (2010-11)
A unilateral axisymmetric contact problem for a biphasic cartilage layer indented by a rigid punch is considered. The refined linearized kinetic relationship which takes into account both the radial and tangential displacements ...
• (2001-11)
We consider the problem of constructing a microlocal logarithm and a normal form for an elliptic semi-classical Fourier integral operator near a fixed point of the corresponding canonical transformation. In [Ia] the canonical ...
• (2002-03)
We apply recent results on semi-classical trace formulae and on Birkhoff normal forms for semi-classical Fourier integral operators to a wide range of semi-classical and high energy spectral inverse problems.
• (2010-09-01)
A bi-material waveguide is assumed to have an array of sufficiently long cracks parallel to the boundaries. The Bloch–Floquet waves propagating along such a waveguide are dispersive, and the band gaps are clearly identified. ...
• (2009-05-21)
Candidates to the least perimeter partition of the surface of a sphere into N planar connected regions are calculated for N ≤ 32. A search procedure based upon random shuffling and combinatorial enumeration is used. It is ...
• (2006-09)
Candidates to the least perimeter partition of a disk into N planar connected regions are calculated for N ≤43. A Voronoi construction is used to randomly create the candidates and then the perimeter of each is found with ...
• (2011-06-01)
A programme of research is outlined which considers the foaming performance and foam behaviour of surfactant systems commonly encountered in hand-wash laundry detergent applications. An experimental study of the physical ...
• (2010)
A three-dimensional unilateral contact problem for articular cartilage layers is considered in the framework of the biphasic cartilage model. The articular cartilages bonded to subchondral bones are modeled as biphasic ...
• (2008-12-01)
If the maximal friction law is applied, then some generalizations of the Prandtl solution for the compression of a plastic layer between rough plates do not exist. In particular, this pertains to the viscoplastic solutions ...
• (2010-10)
In various attempts to relate the behaviour of highly-elastic liquids in complex flows to their rheometrical behaviour, obvious candidates for study have been the variation of shear viscosity with shear rate, the two normal ...
• (2012-05-21)
A three-dimensional unilateral contact problem for articular cartilage layers is considered in the framework of the biphasic cartilage model. The articular cartilages bonded to subchondral bones are modelled as biphasic ...