Our contribution deals with contact problems of linear elasticity with the Coulomb friction in two space dimensions. The finite element approximation leads to an algebraic problem whose projective primaldual formulation is given as an equation described by a piecewise differentiable function. The solution can be computed iteratively by the semi-smooth Newton method [1]. However, there are known...

The effect of interfacial bonding of glass hollow microspheres and a polymer matrix on the elastic properties of syntactic foam was investigated using representative volume element (RVE) models, including partially debonded interfaces. Finite element analysis, with models having different debonding geometries, was performed to numerically estimate the elastic behavior of the models. The models ...

We show that in slowly generated two-dimensional packings of frictional spheres, a significant fraction of the friction forces lie at the Coulomb threshold-for small pressure p and friction coefficient mu , about half of the contacts. Interpreting these contacts as constrained leads to a generalized concept of isostaticity, which relates the maximal fraction of fully mobilized contacts and cont...

A mixed formulation for a Tresca frictional contact problem in linear elasticity is considered in the context of boundary integral equations, which is later extended to Coulomb friction . The discrete Lagrange multiplier, an approximation of the surface traction on the contact boundary part, is a linear combination of biorthogonal basis functions. In case of curved elements, these are the solut...

Contact problems of elasticity are used in many fields of science and engineering, especially in structural mechanics, geology and biomecanics. Many numerical procedures solving contact problems have been proposed in the engineering literature. They are based on standard discretization techniques for partial differential equations in combination with a special implementation of non-linear conta...

Mechanical joints, such as the bolted shear lap joint considered here, are ubiquitous in engineered structures, which realize vibration damping as well as load transfer from them. However, the prediction of the energydissipation characteristics of such joints remains a challenging problem. A cubic relationship between energy dissipated and load magnitude is often assumed in classical joint dyna...

An enhanced dynamic force model of a type of small and soft McKibben-type pneumatic muscle (PM) actuator has been developed. This model takes the factor of external loads and a more sophisticated form of friction into account, and is presented as a polynomial function of pressure, contraction length, contraction velocity and external load. The coefficients in this model are determined from a se...

The Savage-Hutter (SH) avalanche model is a depth-averaged dynamical model of a fluid-like continuum implementing the following simplifying assumptions: (i) density preserving, (ii) shallowness of the avalanche piles and small topographic curvatures, (iii) Coulomb-type sliding with bed friction angle delta and (iv) Mohr-Coulomb behaviour in the interior with internal angle of friction phi> or =...

Contact between rubber-soled shoes and indoor sports surfaces commonly results in brief, high-pitched “squeaks” (Fig. 1). The classical Amontons-Coulomb friction paradigm assumed by most slip-resistance research does not accommodate vibration or sound generation. Consequently, an examination of this phenomenon offers the possibility of novel insights into the mechanics of shoe-surface interaction.