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Topology Optimization
 
 
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Topology Optimization [Hardcover]

Martin Philip Bendsoe (Author), Ole Sigmund (Author)

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Book Description

3540429921 978-3540429920 February 12, 2004 2nd
The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition, has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state-of-the-art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also materials and MEMS.

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Editorial Reviews

Review

From the reviews of the second edition: "The book consists of two parts. The first part deals with the topology design within the framework of searching for optimum ‘classical designs’ for isotropic materials … . The second part concentrates on compliance design … . The book is accessible to the novice and expert, alike, and can be used by students, engineers and scientists working in aerospace, automotive, and mechanical and civil engineering." (Stefan Jendo, Zentralblatt MATH, Vol. 1059 (10), 2005) "This is a ‘practical’ book. Apart from mathematical models, it includes the necessary computational procedures, verified by extensive practical experience. Each section is illustrated by many examples … . The bibliography … represents a rich source for readers who want to study details of particular topics. I find the book to be very useful for … mathematicians, civil and structural engineers, materials scientists and others. … it is a rich source of problem formulations, examples, and computational techniques … ." (Michal Kocvara, Mathematical Reviews, Issue 2005 e)

From the Back Cover

The topology optimization method solves the basic engineering problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state-of-the-art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also MEMS and materials.

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
multiple load problem, material distribution method, complementary elastic work, thickness sheet problem, compliance design problem, free material design, compliant mechanism synthesis, minimum compliance design, free material optimization, optimal topology design, checkerboard control, variable thickness sheets, lamination parameters, single load case, topology optimization, free parametrization, topology design methods, compliant mechanism design, design parametrization, homogenization formulas, optimal truss, optimized topology, optimality criteria method, perimeter bound, truss topology design
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