In this research, the isogeometric finite element method is used to discretise the displacement domain of strutures in the first step. The primal-dual algorithm based upon the von Mises yield criterion and a Newton-like iteration is used in the second step to solve optimization problem. | MINISTRY OF EDUCATION AND TRAINING UNIVERSITY OF TECHNOLOGY AND EDUCATION HO CHI MINH CITY DO VAN HIEN ISOGEOMETRIC FINITE ELEMENT METHOD FOR LIMIT AND SHAKEDOWN ANALYSIS OF STRUCTURES DOCTORAL THESIS MAJOR ENGINEERING MECHANICS Ho Chi Minh City June 16 2020 Declaration I Do Van Hien declare that this thesis entitled quot Isogeometric finite element method for limit and shakedown analysis of structures quot is a presentation of my original research work. I confirm that Wherever contributions of others are involved every effort is made to indicate this clearly with due reference to the literature and acknowledgement of collaborative research and discussions. The work was done under the guidance of Prof. Nguyen Xuan Hung at the Ho Chi Minh City University of Technology and Education. i Acknowledgements This thesis summarizes my research carried out during the past five years at the Doctoral Program quot Engineering Mechanics quot at Ho Chi Minh City University of Technology and Education in Ho Chi Minh City. This thesis would not have been possible without help of many and I would like to acknowledge their kind efforts and assistance. First of all I would like to express my deep gratitude to my supervisor Prof. Nguyen Xuan Hung for his guidance support and encouragement during the past five years. I appreciate that he left a lot of freedom for me to pursue my own ideas set the right direction when it was necessary and contributed valuable advice. I am also very grateful to . Van Huu Thinh who has been my second advisor at HCMUTE for many years. I am indebted to Prof. Timon Rabczuk for giving me the chance to spend a one-year research visit at the Bauhaus-Universität Weimar and I also want to thank Prof. Tom Lahmer and Prof. Xiaoying Zhuang for the fruitful discussions and their support. I also would like to thank the research group members at GACES at HCMUTE CIRTECH at HUTECH and ISM at Bauhaus-Universität Weimar Germany for their helpful supports. I would
