This book introduces topology optimization as a major conceptual design tool in modern engineering and focuses on its applications in structural and mechanical design. It explains the mathematical foundations of the minimum compliance problem, a key starting point for understanding topology optimization, while also addressing common challenges and regularisation techniques used to obtain practical optimized solutions. Moving from theory to application, the book provides guidance on modelling realistic loads and boundary conditions for mechanical components in critical operating scenarios. A case study on the optimization of a motorcycle single-sided swingarm demonstrates how topology optimization can improve structural efficiency and reduce weight in engineering design practice.

Alberto Donoso is a researcher at the Universidad de Castilla-La Mancha, Spain. He earned his M.Sc. and Ph.D. from UCLM and specialises in topology optimisation, structural mechanics, and applied mathematics for engineering design applications.

David Ruiz Gracia is a researcher at the Universidad de Castilla-La Mancha, Spain. His work focuses on topology optimisation, computational mechanics, and piezoelectric systems, with publications in leading engineering and optimisation journals.

José Carlos Bellido is Professor of Applied Mathematics and Head of the Department of Mathematics at the Universidad de Castilla-La Mancha, Spain. His research focuses on topology optimisation and computational mechanics, supported by collaborations with institutions including Oxford and École Polytechnique.

Ernesto Aranda Ortega is a researcher at the Universidad de Castilla-La Mancha, Spain. His research specialises in topology optimisation, connectivity constraints, and structural optimisation, with publications on optimisation methods for engineering structures and compliant mechanisms.