Abstract. Homogenization of integral functionals is studied under the constraint that admissible maps have to take their values into a given smooth manifold. The notion of tangential homogenization is defined by analogy with the tangential quasiconvexity introduced by Dacorogna, Fonseca, Malý & Trivisa [18]. For energies with superlinear or linear growth, a Γ-convergence result is established i...

A new superfast O(n log n) complexity direct solver for real symmetric Toeplitz systems is presented. The algorithm is based on 1. the reduction to symmetric right-hand sides, 2. a polynomial interpretation in terms of Chebyshev polynomials, 3. an inversion formula involving real trigonometric transformations, and 4. an interpretation of the equations as a tangential interpolation problem. The ...

introduction: radiation therapy following breast conserving surgery is one of the most common procedures performed in any radiation oncology department. a tangential parallel-opposed pair is almost always the technique of choice for this purpose. this technique is often performed based on 3d treatment planning. the aim of this study was to compare 3d treatment planning for two different energie...

When contacting elastic systems are subjected to periodic loading, frictional slip occurs resulting in energy dissipation. Here we investigate the effect of the relative phase of harmonically varying tangential and normal loads on the frictional dissipation in a very simple uncoupled frictional system. We demonstrate that this effect is substantial when the system experiences periods of separat...

Injection molding is a manufacturing process for producing parts from both thermoplastic and thermosetting plastic materials. When the material is in contact with the mold wall surface, one has three choices: i no slip which implies that thematerial sticks to the surface ii partial slip, and iii complete slip 1–5 . Navier 6 in 1827 first proposed a partial slip condition for rough surfaces, rel...

conclusions we recommend the additional 2d-fluoroscopic tangential view for detection of screw misplacements caused by overlength, with penetration on the dorsal cortical surface of the distal radius, predominantly observed for the most lateral screw position. the use of intraoperative 3d fluoroscopy did not become accepted in our clinical routine, due to the technical demanding and time consum...

In the current article, a combination of the differential transform method (DTM) and Padé approximation method are implemented to solve a system of nonlinear differential equations modelling the flow of a Newtonian magnetic lubricant squeeze film with magnetic induction effects incorporated. Solutions for the transformed radial and tangential momentum as well as solutions for the radial and tan...

BACKGROUND Transurethral Resection of Bladder Tumors (TURBT) is a challenging procedure partly due to resectoscope limitations. To date, manual resection performance has not been fully characterized. This work characterizes manual resection performance in the bladder while analyzing the effect of resection location on accuracy. METHODS Kinematic simulations are used to assess kinematic measur...

Diamond coatings have been increasingly used in cutting tools applications. Coating delamination is the major tool failure mode and occurs due to deposition-induced residual stresses and thermomechanical loading in machining. This study applies finite element analysis to investigate stress distributions, with the edge radius focused, in diamond coating tools considering depositions and machinin...

Several neuronal populations orchestrate neocortical development during mammalian embryogenesis. These include the glutamatergic subplate-, Cajal-Retzius-, and ventral pallium-derived populations, which coordinate cortical wiring, migration, and proliferation, respectively. These transient populations are primarily derived from other non-cortical pallial sources that migrate to the dorsal palli...