1 AIT Asian Institute of Technology

Development of BEM formulation for multi-region transient dynamic elastoplastic problems via particular integrals

AuthorAdisorn Owatsiriwong
Call NumberAIT Diss. no.GE-07-02
Subject(s)Elastoplasticity
Transients (Dynamics)

NoteA dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Engineering in Geotechnical and Geoenvironmental Engineering, School of Engineering and Technology
PublisherAsian Institute of Technology
Series StatementDissertation ; no. GE-07-02
AbstractThis study presents development of multi-region boundary element method (BEM) employing particular integral formulations and domain decomposition method. The problems in both static and transient dynamic elastoplasticity are tackled. In the present formulation, elastostatic equation is used for the complementary solution. The particular integrals for displacement, traction and stress rates are obtained by introducing the concept of a global shape function to approximate acceleration and initial stress rate terms of the inhomogeneous equation. The Houbolt time integration scheme is used for the time-marching process. The Newton-Raphson algorithm for plastic multiplier is used to solve the system equation. For the treatment of multi-region analysis, the domain of the original problem is subdivided into sub-regions in which each can be treated as sub-problem and independently solved. To assist convergence rate of the iteration process, an under-relaxation parameter is introduced to the displacement variable. The developed program is integrated with the pre- and post-processor. Several numerical examples are given to demonstrate the validity and accuracy of the present formulation. In most cases, the results are compared with those obtained from ABAQUS. Upon available, the analytical solutions ofthe example problems are also given
Year2008
Corresponding Series Added EntryAsian Institute of Technology. Dissertation ; no. GE-07-02
TypeDissertation
SchoolSchool of Engineering and Technology (SET)
DepartmentDepartment of Civil and Infrastucture Engineering (DCIE)
Academic Program/FoSGeotechnical Engineering (GE)
Chairperson(s)Park, Kyung-Ho;
Examination Committee(s)Worsak Kanok-Nukulchai ;Noppadol Phien-wej ;Banerjee, Prasanta Kumar;
Scholarship Donor(s)Royal Thai Government Fellowship;
DegreeThesis (Ph.D.) - Asian Institute of Technology, 2007


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