FEINS: Finite Element Solver for Shape Optimization with Adjoint Equations

2012 ◽  
pp. 573-579 ◽  
Author(s):  
René Schneider
Keyword(s):  
Finite Element ◽  
Shape Optimization ◽  
Adjoint Equations

Predicting the Benefits of Topology Optimization

2015 ◽  
Author(s):  
Shiguang Deng ◽  
Krishnan Suresh
Keyword(s):  
Finite Element ◽  
Topology Optimization ◽  
Shape Optimization ◽  
Systematic Method ◽  
Topological Sensitivity ◽  
Numerical Examples ◽  
Initial Design

Topology optimization is a systematic method of generating designs that maximize specific objectives. While it offers significant benefits over traditional shape optimization, topology optimization can be computationally demanding and laborious. Even a simple 3D compliance optimization can take several hours. Further, the optimized topology must typically be manually interpreted and translated into a CAD-friendly and manufacturing friendly design. This poses a predicament: given an initial design, should one optimize its topology? In this paper, we propose a simple metric for predicting the benefits of topology optimization. The metric is derived by exploiting the concept of topological sensitivity, and is computed via a finite element swapping method. The efficacy of the metric is illustrated through numerical examples.

Shape Optimization of Femoral Components of an Artificial Hip Prosthesis Using the Three-Dimensional P-Version Finite Element Study and the In Vitro Measurement of Strain in the Bone Cement

2002 ◽  
Author(s):  
Masaru Higa ◽  
Ikuya Nishimura ◽  
Kazuhiro Matsuda ◽  
Hiromasa Tanino ◽  
Yoshinori Mitamura
Keyword(s):  
Finite Element ◽  
Shape Optimization ◽  
Bone Cement ◽  
Femoral Component ◽  
Three Dimensional ◽  
Femoral Stem ◽  
Cement Mantle ◽  
Optimum Shape ◽  
Shear Stresses

Though Total Hip Arthroplasty (THA) is being performed with greater frequency every year for patients with endstage arthritis of hip, mechanical fatigue of bone cement leading to damage accumulation is implicated in the loosening of cemented hip components. This fatigue failure of bone cement has been reported to be the result of high tensile and shear stresses at the bone cement. The aim of this study is to design the optimum shape of femoral component of a THA that minimizes the peak stress value of maximum principal stress at the bone cement and to validate the FEM results by comparing numerical stress with experimental ones. The p-version three-dimensional Finite Element Method (FEM) combined with an optimization procedure was used to perform the shape optimization. Moreover the strain in the cement mantle surrounding the cemented femoral component of a THA was measured in vitro using strain gauges embedded within the cement mantle adjacent to the developed femoral stem to validate the optimization results of FEM.

Design Optimization of a Packing Material Using Finite Element Techniques

1992 ◽  
Author(s):  
Sukhwinder S. Lamba ◽  
Curtis A. Rhodes
Keyword(s):  
Finite Element ◽  
Shape Optimization ◽  
Design Optimization ◽  
Shell Thickness ◽  
Packing Material ◽  
Size And Shape

Abstract This paper presents size and shape optimization of a recyclable packing material. Shell thickness and shape was optimized to prevent contact of surfaces within the packing material. Thus optimization was used to improve cushioning characteristics of the packing material.

scholarly journals Shape Optimization Using the Finite Element Method on Multiple Meshes with Nitsche Coupling

2019 ◽  
Vol 41 (3) ◽  
pp. A1923-A1948 ◽  
Author(s):  
Jørgen S. Dokken ◽  
Simon W. Funke ◽  
August Johansson ◽  
Stephan Schmidt
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Shape Optimization ◽  
The Finite Element Method ◽  
Element Method
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