Topology Optimization Design of Heterogeneous Materials and S... - 9781786305589

Topology Optimization Design of Heterogeneous Materials and StructuresAuthor(s): Daicong Da\nFormat: Hardback\nPublisher: ISTE Ltd and John Wiley & Sons Inc, United Kingdom\nImprint: ISTE Ltd and John Wiley & Sons Inc\nISBN-13: 9781786305589, 978-1786305589\nSynopsis\nThis book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue. The book abandons the scale separation hypothesis and takes up phase-field modeling, which is at the cutting edge of research and is of high industrial and practical relevance. Part 1 starts by testing the limits of the homogenization-based approach when the size of the representative volume element is non-negligible compared to the structure. The book then introduces a non-local homogenization scheme to take into account the strain gradient effects. Using a phase field method, Part 2 offers three significant contributions concerning optimal placement of the inclusion phases. Re.