MINISTRY OF EDUCATION AND TRAINING
HO CHI MINH CITY
UNIVERSITY OF TECHNOLOGY AND EDUCATION
HO LE HUY PHUC
DEVELOPMENT OF NOVEL MESHLESS METHOD
FOR LIMIT AND SHAKEDOWN ANALYSIS
OF STRUCTURES & MATERIALS
DOCTORAL THESIS
MAJOR: ENGINEERING MECHANICS
Ho Chi Minh city, 3rd May 2020
MINISTRY OF EDUCATION AND TRAINING
HO CHI MINH CITY
UNIVERSITY OF TECHNOLOGY AND EDUCATION
HO LE HUY PHUC
DEVELOPMENT OF NOVEL MESHLESS METHOD
FOR LIMIT AND SHAKEDOWN ANALYSIS
OF STRUCTURES & MATERIALS
MAJOR: ENGINEERING MECHANICS
Supervisors:
1. Assoc. Prof Le Van Canh
2. Assoc. Prof Phan Duc Hung
Reviewer 1:
Reviewer 2:
Reviewer 3:
Declaration of Authorship
I declare that this is my own research.
The data and results stated in the thesis are honest and have not been published
by anyone in any other works.
Ho Chi Minh city, 3rd August 2020
PhD candidate
HO LE HUY PHUC
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Acknowledgements
The research presented in this thesis has been carried out in the framework
of a doctorate at Faculty of Civil Engineering, Ho Chi Minh city University of
Technology and Education, Vietnam. This work would have never been possible
without the support and help of many people to whom I feel deeply grateful.
First and foremost, I would like to express my most sincere thanks to my su-
pervisors, Assoc. Prof. Le Van Canh and Assoc. Prof. Phan Duc Hung, for their
guidance, valuable academic advice, mental support and constant encouragement
during the course of this work. I am deeply indebted to my major supervisor, As-
soc. Prof. Le Van Canh. He is one of most influential people in my life, both profes-
sionally and personally. His guidance is precious, helping me develop the personal
skills needed to succeed in future work.
I would like to thank the co-author of my papers - Prof. Tran Cong Thanh for his
encouragement, support and guidance. I would also like to express my admiration
for his unsurpassed knowledge of mathematics and numerical methods.
I really appreciate the financial support received from the Institute for Com-
putational Science and Technology (ICST) - HCMC, the Science and Technology
Incubator Youth Program - HCMC, and International University - VNU-HCMC
throughout the research projects.
I take this opportunity to thank my colleagues in International University -
VNU-HCMC, HCMC University of Technology and Education, and HUTECH Uni-
versity, especially Dr. Tran Trung Dung, PhD candidate Nguyen Hoang Phuong,
PhD candidate Do Van Hien, Dr. Khong Trong Toan and Dr. Vo Minh Thien, for
fruitful discussions about a range of topics and their mental support.
I sincerely thank my parents and my younger sisters for their unconditional love
and support. I am also definitely indebted to my wife, Nguyen My Lam, for her
love, understanding and encouraging me whenever I needed motivation.
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Acknowledgements
Finally, I would like to dedicate this thesis to my little son - Ho Nguyen Nhat Duy.
No word can describe my love for him.
Ho Chi Minh city, 3rd August 2020
PhD candidate
HO LE HUY PHUC
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