In the present paper, some extensions of the previous theoretical results about the symmetry properties of structural optimization problems are reported. It is found that generally the condition of convexity can be relaxed to quasi-convexity in order to guarantee the existence of symmetry global optima. Furthermore, some new results about the symmetry properties of robust and discrete structura...

This paper presents an innovative tool and method that allow efficient innovation of shape and topology of virtual parts at both mesh and CAD levels using optimization methods. The method consists of automatic variations of shapes in CAD/CAE environments that allow effective search for new shapes that are not considered initially by designers.

During mammalian tooth development, the oral ectoderm and mesenchyme coordinate their growth and differentiation to give rise to organs with precise shapes, sizes and functions. The initial ingrowth of the dental epithelium and its associated dental mesenchyme gives rise to the tooth bud. Next, the epithelial component folds to give the tooth its shape. Coincident with this process, adjacent ep...

The alveolar ridge shape plays an important role in predicting the demand on the support tooth and alveolar bone in the removable partial denture (RPD) treatment. However, these data are unclear when the RPD is associated with implants. This study evaluated the influence of the alveolar ridge shape on the stress distribution of a free-end saddle RPD partially supported by implant using 2-dimens...

This article describes esthetic improvement in a patient with a missing maxillary left central incisor. Space analysis of the anterior dentition showed that minor tooth rearrangement was needed. Optimal space distribution for restorations was attained by orthodontic treatment. Through transforming tooth shape with porcelain laminate veneers, the maxillary left lateral incisor was transformed in...

Shape optimization with a homogeneous Dirichlet boundary value problem as a state is considered. Three ctitious domain approaches on a xed grid are presented and used as solvers for the state problem. Speciic features of this approach in context of shape optimization, as smoothness of the resulting optimization problem are discussed.

This paper deals with a free boundary problem for both Laplacian and p-Laplacian operators. We begin by proving the existence of solution (which is of class C) for the associated shape optimization problem. Then, after performing the shape derivative we will present two approaches in order to get sufficient conditions of existence of the free boundaries. The first one needs the use of some maxi...

The structural design problems are acknowledged to be commonly multicriteria in nature. The various multi-criteria optimization methods are reviewed and most efficient and easy-to-use Pare to optimal solution method is applied to structural optimization of a sandwich beam.

Developmental anomalies affecting the teeth are often seen in the oral cavity. Abnormalities in the physiological processes of tooth development lead to these anomolies. Talon cusp or dens evaginatus of anterior tooth is one of the dental anomalies affecting the shape of a tooth, in which an accessory cusp like structure projects from the cingulam area or cementoenamel junction.

In this study, an optimization methodology is presented to systematically define head-cutter geometry and machine tool settings to introduce optimal tooth modifications in spiral bevel and hypoid gears. The goal of the optimization is to simultaneously minimize the tooth contact pressure and the angular displacement error of the driven gear (the transmission error), to maximize the elastohydrod...