Based on the concept of discontinuity displacement, an analytical solution for cracked thin plates has been derived in which displacements and stresses in a solid can be expressed by the linear distributed discontinuity displacements on the whole boundary. By way of the potential variational principle and the analytical solution newly developed, a boundary element model for 2D multiple crack pr...

Introduction: Measurement of articular cartilage deformation is important to characterize the differences between healthy and pathological tissue and to compare native tissue with engineered constructs. Among these differences is the nonuniform distribution of extracellular matrix proteins through the tissue depth, which in turn gives rise to heterogeneous strains and anisotropic mechanical pro...

The paper presents an approach for matching image objects in dynamic pedobarography image sequences, based on finite element modelling of the objects and on modal analysis of the of the object models. The proposed approach allows the determination of correspondences between two distinct images, using either 2D or 3D modelling. The displacement vectors for the nodes of the matched object models ...

When representing 2D data points with spacious objects such as labels, overlap can occur. We present a simple algorithm which modifies the (Mani-)Wordle idea with scan-line based techniques to allow a better placement. We give an introduction to common placement techniques from different fields and compare our method to these techniques w.r.t. euclidean displacement, changes in orthogonal order...

Clutter affects almost any kind of visual technique and can obscure the structure present in the data even in small datasets, making it hard for users to find patterns and reveal relationships. In this paper we present a general strategy to analyze and reduce clutter using a special kind of sampling, together with an ad-hoc displacement technique and perceptual issues collected through a user s...

We consider multigrid methods for problems in linear elasticity which are robust with respect to the Poisson ratio. Therefore, we consider mixed approximations involving the displacement vector and the pressure, where the pressure is approximated by discontinuous functions. Then, the pressure can be eliminated by static condensation. The method is based on a saddle point smoother which was intr...

The random motion of a Brownian particle confined in some finite domain is considered. Quite generally, the relevant statistical properties involve infinite series, whose coefficients are related to the eigenvalues of the diffusion operator. Unfortunately, the latter depend on space dimensionality and on the particular shape of the domain, and an analytical expression is in most circumstances n...

Background Considering that nonresponse rates to cardiac resynchronization therapy (CRT) are typically 35-50%, assessment of the cardiac substrate for CRT with cardiac imaging could be very helpful for many patients with heart failure referred for this therapy. We have previously shown that CMR assessment of dyssynchrony using displacement encoding with stimulated echoes (DENSE) is strongly ass...

We report the observation of the transition from an ordered solidlike phase to a disordered liquidlike phase of a lattice of spikes on a ferrofluid surface submitted to horizontal sinusoidal vibrations. The melting transition occurs for a critical spike displacement which is experimentally found to follow the Lindemann criterion, for two different lattice topologies (hexagonal and square) and o...

We consider an isochemical, isentropic, incompressible fluid halfspace and study quasistatic viscoelastic perturbations, induced by two-dimensional (2D) surface loads, of a hydrostatic initial state. In view of the regional or local scale required for deformations of planets to be amenable to the half-space approximation, the model is assumed to be externally gravitating. We derive analytic sol...