Gradient polyconvex material models and their numerical treatment

Gradient - enhanced strain softening material models

Classical continuum models exhibit strong mesh dependency during strain softening. For such materials, the phenomenon may be regularized via the gradient-enhanced nonlocal formulation. The paper discusses the implicit gradient framework and demonstrates that standard nonlocal enhancement may serve only as a partial localization limiter. The over-nonlocal approach, where the weight for the nonlo...

Optimality conditions for multidimensional control problems with polyconvex gradient restrictions

The motivation for a closer investigation of Dieudonné-Rashevsky type problems (P) is two-fold. First, due to its close affinity to the basic problem of multidimensional calculus of variations, the problem (1.3) − (1.5) is well-suited as a model problem in order to ascertain how the proof of optimality conditions is influenced through the weakening of the convexity properties of the data. Since...

fluoride and dental fluorosis and treatment

چکیده ندارد.

Traffic Flow Models and Their Numerical Solutions

Presentation of two models for the numerical analysis of fractional integro-differential equations and their comparison

In this paper, we exhibit two methods to numerically solve the fractional integro differential equations and then proceed to compare the results of their applications on different problems. For this purpose, at first shifted Jacobi polynomials are introduced and then operational matrices of the shifted Jacobi polynomials are stated. Then these equations are solved by two methods: Caputo fractio...