Abstract We present a quantitative estimate for the radially symmetric configuration concerning Serrin-type overdetermined problem torsional rigidity in bounded domain Ω ⊂ R N , when equation is known on  ∖ ω ¯ only, some open subset  ⋐ . The has concrete motivations optimal heating with malfunctioning, laminar flows and beams small inhomogeneities.

It is proposed that the randomly diluted elastic network of Hooke's-law central-force springs in two dimensions may have a hitherto unrecognized splay-rigid phase in which the bulk and shear moduli vanish but the Frank elastic constant, K, is nonzero. Exponents for the associated splay-rigidity percolation and torsional resistance are estimated by series-expansion techniques. These exponents ar...

In this work new homogenization results are used to introduce a methodology for the design of structural components made from composite materials in the presence of stress constraints. A numerical method is developed for finding functionally graded materials that provide the maximum torsional rigidity while keeping the mean square stress inside the composite structure below a prescribed level. ...

The buckling mechanism of diagonally stiffened plates under the combined action shear, bending, and compression is a complex phenomenon that difficult to describe with simple clear explicit expressions. Predicting elastic coefficient accurately crucial for calculating load these plates. Several factors influence plates, including plate’s aspect ratio, stiffener’s flexural torsional rigidity, in...

This study applies CT-based structural rigidity analysis (CTRA) to assess failure torque of rat femurs with simulated lytic defects at different locations (proximal and distal femur) and diameters (25% and 50% of the cross-section at the site), and compared the results to those obtained from mechanical testing. Moreover, it aims to compare the correlation coefficients between CTRA-based failure...

Abstract We investigate the existence of a maximiser among open, bounded, convex sets in R d \mathbb{R}^{d} , ≥ 3 d\geq 3 for product torsional rigidity and Newtonian capacity (or logarithmic if = <m:mn...

Torsion is an important testing modality commonly used to calculate structural properties of long bones. However, the effects of size and geometry must be excluded from the overall structural response in order to compare material properties of bones of different size, age and species. We have developed a new method to analyze torsional properties of bones using actual cross-sectional informatio...

In this article, we investigate the principal structural features of the DNA double helix and their effects on its elastic mechanical properties. We develop, in the pursuit of this purpose, a helical continuum model consisting of a soft helical core and two stiff ribbons wrapping around it. The proposed model can reproduce the negative twist-stretch coupling of the helix successfully as well as...

Background: The aim of this article is to introduce a novel technique of limited dynamic hip screw (LDHS) in the treatment of intertrochanteric fractures and to evaluate its biomechanical effects. Material/Methods: Based on the principle of providing both dynamic and static pressure to stabilize the fracture, we improved the dynamic hip screw (DHS) and designed the LDHS. Six fresh cadavers were...