This article provides a comprehensive review of structural optimization employing topology
methods for structures under vibration problems. Topology optimization allows creative and …

" The art of structure is where to put the holes" Robert Le Ricolais, 1894-1977 This is a
completely revised, updated and expanded version of the book titled" Optimization of …

In the context of shape optimization, we seek minimizers of the sum of the elastic compliance
and of the weight of a solid structure under specified loading. This problem is known not to …

Ultra-light cellular materials exhibit high stiffness/strength to weight ratios and bring
opportunity for multifunctional performance. One of their potential applications is to build …

Since the early part of the twentieth century, the use of integral equations has developed into
a range of tools for the study of partial differential equations. This includes the use of single …

The fields of photonics and phononics encompass the fundamental science of light and
sound propagation and interactions in complex structures, as well as its technological …

Optimum structural design of composites is a research subject that has drawn the attention
of many researchers for more than 40 years with a growing interest. In this study, a review of …

This paper is devoted to minimum stress design in structural optimization. The
homogenization method is extended to such a framework and yields an efficient numerical …

We present a hierarchical multiscale design framework that couples computational
homogenization with topology optimization to design a composite structure's microstructure …

In vibration optimization problems, eigenfrequencies are usually maximized in the
optimization since resonance phenomena in a mechanical structure must be avoided, and …