Topology Optimization of Nano-Mechanical Cantilever Sensors Using a C0 Discontinuous Galerkin-Type Approach

Kun Saptohartyadi Marhadi; Anton Evgrafov; Mads Peter Sørensen

Topology Optimization of Nano-Mechanical Cantilever Sensors Using a C0 Discontinuous Galerkin-Type Approach

Kun Saptohartyadi Marhadi, Anton Evgrafov, Mads Peter Sørensen

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

We demonstrate the use of a C0 discontinuous Galerkin method for topology optimization of nano-mechanical sensors, namely temperature, surface stress, and mass sensors. The sensors are modeled using classical thin plate theory, which requires C1 basis functions in the standard finite element method. A discontinuous Galerkin type approach allows the use of C0 basis functions or any common basis functions, e.g. based on Lagrange elements. Thus the implementation is simple and requires fewer degrees of freedom per element compared to common finite element implementation of plate problems.

Original language	English
Title of host publication	Proceedings of the 9th World Congress on Structural and Multidisciplinary Optimization
Publication date	2011
Publication status	Published - 2011
Event	9th World Congress on Structural and Multidisciplinary Optimization - Shizuoka, Japan Duration: 13 Jun 2011 → 17 Jun 2011 Conference number: 9

Conference

Conference	9th World Congress on Structural and Multidisciplinary Optimization
Number	9
Country/Territory	Japan
City	Shizuoka
Period	13/06/2011 → 17/06/2011

Keywords

Thin plates
Topology optimization
Nano-mechanical sensors
Discontinuous Galerkin method

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title = "Topology Optimization of Nano-Mechanical Cantilever Sensors Using a C0 Discontinuous Galerkin-Type Approach",

abstract = "We demonstrate the use of a C0 discontinuous Galerkin method for topology optimization of nano-mechanical sensors, namely temperature, surface stress, and mass sensors. The sensors are modeled using classical thin plate theory, which requires C1 basis functions in the standard finite element method. A discontinuous Galerkin type approach allows the use of C0 basis functions or any common basis functions, e.g. based on Lagrange elements. Thus the implementation is simple and requires fewer degrees of freedom per element compared to common finite element implementation of plate problems.",

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year = "2011",

language = "English",

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note = "9th World Congress on Structural and Multidisciplinary Optimization, WCSMO ; Conference date: 13-06-2011 Through 17-06-2011",

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Topology Optimization of Nano-Mechanical Cantilever Sensors Using a C0 Discontinuous Galerkin-Type Approach. / Marhadi, Kun Saptohartyadi; Evgrafov, Anton; Sørensen, Mads Peter.
Proceedings of the 9th World Congress on Structural and Multidisciplinary Optimization. 2011.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

T1 - Topology Optimization of Nano-Mechanical Cantilever Sensors Using a C0 Discontinuous Galerkin-Type Approach

AU - Marhadi, Kun Saptohartyadi

AU - Evgrafov, Anton

AU - Sørensen, Mads Peter

N1 - Conference code: 9

PY - 2011

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N2 - We demonstrate the use of a C0 discontinuous Galerkin method for topology optimization of nano-mechanical sensors, namely temperature, surface stress, and mass sensors. The sensors are modeled using classical thin plate theory, which requires C1 basis functions in the standard finite element method. A discontinuous Galerkin type approach allows the use of C0 basis functions or any common basis functions, e.g. based on Lagrange elements. Thus the implementation is simple and requires fewer degrees of freedom per element compared to common finite element implementation of plate problems.

AB - We demonstrate the use of a C0 discontinuous Galerkin method for topology optimization of nano-mechanical sensors, namely temperature, surface stress, and mass sensors. The sensors are modeled using classical thin plate theory, which requires C1 basis functions in the standard finite element method. A discontinuous Galerkin type approach allows the use of C0 basis functions or any common basis functions, e.g. based on Lagrange elements. Thus the implementation is simple and requires fewer degrees of freedom per element compared to common finite element implementation of plate problems.

KW - Thin plates

KW - Topology optimization

KW - Nano-mechanical sensors

KW - Discontinuous Galerkin method

M3 - Article in proceedings

BT - Proceedings of the 9th World Congress on Structural and Multidisciplinary Optimization

T2 - 9th World Congress on Structural and Multidisciplinary Optimization

Y2 - 13 June 2011 through 17 June 2011

ER -

Topology Optimization of Nano-Mechanical Cantilever Sensors Using a C0 Discontinuous Galerkin-Type Approach

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