We present isogeometric shape optimization for shell structures applying sensitivity weighting and semi-analytical analysis. We use a rotation-free shell formulation and all involved geometry models, i.e., initial design, analysis model, optimization model, and final design use the same geometric basis, in particular NURBS. A sensitivity weighting scheme is presented which eliminates certain ef...

Abstract The earlier analytical analysis (part A) of the susceptible–infectious–recovered (SIR) epidemics model for a constant ratio k infection to recovery rates is extended here semi-time case which particularly appropriate modeling temporal evolution later (than first) pandemic waves when greater population fraction from first wave has been infected. In SIR does not describe quantities in pa...

Abstract. In this paper we present a model for computing thermal stress inside a crystal with facets. Using a systematical perturbation analysis, a semi-analytical thermal stress solution is obtained for constrained directional growth with small lateral heat flux. Our solution can be applied to crystals grown by various growth techniques such as the Czochralski method. The semianalytical nature...

A layer of very viscous liquid (e.g. tar, molten glass) spans a chasm between two vertical walls. The slow fall or slump of this initially-rectangular liquid bridge is analysed. A semi-analytical solution is obtained for the initial motion, for arbitrary thickness/width ratios. The formal limits of large and small thickness/width ratios are also investigated. For example, the centre section of ...

We study a uniform flow in a parallel plate geometry to model contaminant transport through a saturated porous medium in a semi-infinite domain in order to simulate an experimental apparatus mainly constituted by a chamber filled with a glass beads bed. The general solution of the advection dispersion equation in a porous medium was obtained by utilizing the Jacobi θ3 Function. The analytical s...

present paper is devoted to stress and deformation analyses of heated variable thickness functionally graded (fg) circular plate with clamped supported, embedded on a gradient elastic foundation and subjected to non-uniform transverse load. the plate is coupled by an elastic medium which is simulated as a winkler- pasternak foundation with gradient coefficients in the radial and circumferential...