Manufacturing-oriented topology optimization has been extensively studied the past two
decades, in particular for the conventional manufacturing methods, for example, machining …

Design sensitivity plays a critical role in inverse and identification studies, as well as
numerical optimization, and reliability analysis. Herein, we review the state of design …

Tangent operators and design sensitivities are derived for transient non‐linear coupled
problems. The solution process and the formation of tangent operators are presented in a …

The present paper reviews recent developments in two major areas of structural sensitivity
analysis: sensitivity of static and transient response; and sensitivity of vibration and buckling …

Optimal design methods that use continuum mechanics models are capable of generating
suitable topology, shape, and dimensions of compliant mechanisms for desired …

A general finite element solution method for the dynamic response sensitivity of inelastic
structures is developed. Employing a direct differentiation method, the gradient equation of …

Two procedures (direct differentiation and adjoint structure) for design sensitivity analysis of
nonlinear structural systems with path dependent effects are described in this paper …

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

The work in this dissertation is motivated by the performance-based engineering approach
advocated by the Pacific Earthquake Engineering Research (PEER) Center. This approach …

It is a common practice to base both, material topology optimization as well as a subsequent
shape optimization on linear elastic response. However, in order to obtain a realistic design …