Revisiting Some Developments of Boundary Elements for Thick Plates in Brazil

Marczak, Rogério José

doi:10.1590/1679-78251441

Cited by 4 publications

(8 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the Fig. 4 is possible to compare the final topology presented by [9] with that one obtained in this work. The final design obtained by [9] resulted with 40 iterations while the present topology took only 15 iterations.…”

Section: Numerical Resultsmentioning

confidence: 89%

“…More recently the shapetopological optimization was performed by determining the sensitivity domain's via topological derivative for problems governed by the Laplace [6] and the Poison Equation [7]. In sequence the D T was implemented for solving elasticity problems with linear discontinuous boundary elements [8,9]. The objective of the present study is to implement quadratic discontinuous boundary elements in an existent optimization code.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Quadratic Boundary Implementation for Solving 2D Problems of Elasticity by Topology Optimization

Teotônio

Anflor

Albuquerque

2013

AMM

View full text Add to dashboard Cite

The main goal of this work relies on implementing discontinuous quadratic elements on a previous existent optimization code. The existent code refers to problems of topology optimization using a standard Boundary Element Method (BEM) formulation. A Topological Derivative (DT) is used for determining the domains sensitivity. The implicit cost function used for DTderivation is based on the total potential energy. A fixed amount of material with less efficiency is progressively removed during the optimization process. It is expected that the quadratic elements implementation increases the accuracy of the final solution, since the previous code were implemented by using linear elements. Despite of this code is still under development the final topology presents a good agreement when compared with those presented in the literature.

show abstract

Section: Numerical Resultsmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

A Quadratic Boundary Implementation for Solving 2D Problems of Elasticity by Topology Optimization

Teotônio

Anflor

Albuquerque

2013

AMM

View full text Add to dashboard Cite

show abstract

“…Since then several classes of engineering and physics problems have been solved by employing the D T concept, for instance, topology optimization ( [Amstutz and Novotny [2010], Novotny et al [2007]]), inverse analysis ( [Carpio and Rapún [2008], Rocha and Novotny [2017]]), and image processing ( [Hintermüller and Laurain [2009], Larrabide et al [2008]]). The D T was also computed using the Boundary Element Method (BEM) for topology optimization of potential (Anflor [2007],Anflor and Marczak [2009], Anflor et al [2014]) and elasticity (Marczak [2008], Bertsch et al [2008], Anflor et al [2018]) problems as an alternative to the Finite Element Method (FEM) employed as the standard numerical solver. All advantages provided by BEM as a boundary method were taken into account showing the efficiency of the developed methodology for optimization problems.…”

Section: Discussionmentioning

confidence: 99%

“…5). Further details about these strategies can be consulted in Marczak [2008] and Anflor et al [2018]. 36), ( 42), ( 56),( 71), ( 73), ( 75)) are used together with a level-set domain representation method to devise a simple topology design algorithm (for more details see Amstutz and Andrä [2006]).…”

Section: Numerical Strategy Frameworkmentioning

confidence: 99%

Model-based and Signal-Based Inverse Methods

2022

View full text Add to dashboard Cite

The engineering sector drives and enables the development of a country. The formation of an engineer allows a technical capacity to evaluate, plan, design, suggest and apply all possible techniques in search of the best construction of a technological equipment. Currently, the engineer must be more and more prepared to solve existing problems in various sectors of society. It is through it that societies grow in search of progress. The recognition of engineering and the training of new professionals increases every year in Brazil. In the 2000s, the University of Brasília (UnB) went through an expansion process, resulting in the implementation of the new UnB Engineering Campus in the city of Gama (UnB-Gama, FGA). Five new undergraduate courses were created: Aerospace Engineering, Automotive Engineering, Electronic Engineering, Energy Engineering and Software Engineering. The UnB Gama Campus project converges to increase the education level of the Brazilian population, especially in the five areas of engineering activity, all in line with current national public policies, aimed at expanding the population's access to quality higher education in the country. Following the high quality teaching line, the UnB-Gama campus has the Graduate Program in Integrity of Engineering Materials (PPG-Integridade). The program has the following lines of research: Dynamics and Vibrations, Fatigue, Structural Materials, Biomaterials, Structure Fluid Interaction and Numerical Simulation of the Mechanical Behavior of Materials. This book series is an initiative of PPG-Integridade -UnB, organized as a collaborative work involving researchers, engineers, scholars, from several institutions, universities, industry, recognized both nationally and internationally.Beside the high technical quality and relevance of the topics covered in the books, this series will enable an essential internationalization of the research currently developed within the University of Brasília. Several authors from different countries also contributed to these books, enabling greater interaction between national and international research groups. This internationalization raises the level of academic education for new professionals in the field of engineering, in addition to more advanced scientific research and technological development. Additionally, this book series features a strong contribution from the industrial sector. Several professionals from different companies collaborated with the writing of some chapters in the three volumes that make up this series. These initiatives are of great strategic importance, as they allow the grouping of different technical capabilities. On the part of companies in the sector, with knowledge of market demands, and on the part of universities, by adding the technical-scientific knowledge of their team of researchers to the improvement of innovative products and services. This book should be appreciated by anyone in need of knowledge of Materials Integrity. The completeness of Discrete Modeling and Inverse Methods theory c...

show abstract

“…Additionally, the unknowns of BEM formulation are the pressure and its derivative, the flux, as such making the method very accurate for the representation of discontinuities [26]. BEM has been used in combination with the TSSM by Marczak [20], Anflor and Marczak [2] and Cisilino [10] for two-dimensional potential problems, Marczak [21] and Carretero and Cisilino [9] for two-dimensional elasticity and Bertsch et al [3] for three-dimensional elasticity. The works by Bonnet [5], Nemitz and Bonnet [23] and Abe et al [1] are examples of BEM implementations of topological sensitivity methods for acoustic scattering.…”

Section: Introductionmentioning

confidence: 99%

Inverse scattering analysis in acoustics via the BEM and the topological-shape sensitivity method

et al. 2014

View full text Add to dashboard Cite

Inverse scattering acoustics find practical applications in the detection and imaging of objects embedded in continuous media as well as in finding the optimum geometric configuration of an object to produce a given radiation performance. This work introduces a boundary element method (BEM) approach for the solution of acoustic identification and optimization problems via a topological-shape sensitivity method. The devised optimization tool takes advantage of the inherent characteristics of BEM to effectively solve the forward and adjoint acoustic problems arising in the topological derivative formulation and to deal with infinite domains. The objectives for the identification and optimization problems are to achieve a prescribed sound pressure at a given region of the problem domain. The locus giving extreme values for the topological derivative indicates the optimum positions for the placement of sound-hard scatterers in order to minimize the cost function. The proposed implementation has the ability to deal with initially empty design spaces as well as with design spaces containing pre-existent scatterers. The capabilities of the method are demonstrated by solving a number of identification and optimization problems.

show abstract

Revisiting Some Developments of Boundary Elements for Thick Plates in Brazil

Cited by 4 publications

References 37 publications

A Quadratic Boundary Implementation for Solving 2D Problems of Elasticity by Topology Optimization

A Quadratic Boundary Implementation for Solving 2D Problems of Elasticity by Topology Optimization

Model-based and Signal-Based Inverse Methods

Inverse scattering analysis in acoustics via the BEM and the topological-shape sensitivity method

Contact Info

Product

Resources

About