Pseudo Lagrangian formulation for large deformation analysis of continua and structures

AuthorWong, Wai-kong
Call NumberAIT Thesis no. ST-84-33
Subject(s)Deformations (Mechanics)--Mathematical models
NoteA thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology
PublisherAsian Institute of Technology
AbstractA totally new approach of Lagrangian formulation is presented for large deformation analysis of continua and structures by the finite element method. In this approach, the deformation of a finite element assemblage is measured by assigning a 'nonphysical' parental element as the reference configuration corresponding to an element in the real domain. It is called the 'pseudo Lagrangian formulation (PLF)' in this study. In the process, a new set of 'pseudo' stress, strain and constitutive tensors are also defined with reference to this 'pesudo' configuration. This will help maintain the general form of governing equations without sacrificing their rigorness and generality. Applications of PLF to small and finite deformation problems indicate that PLF not only serves as an alternative but has certain implementational advantages over the traditional (total or updated) Lagrangian method.
Year1984
TypeThesis
SchoolSchool of Engineering and Technology
DepartmentDepartment of Civil and Infrastucture Engineering (DCIE)
Academic Program/FoSStructural Engineering (STE) /Former Name = Structural Engineering and Construction (ST)
Chairperson(s)Worsak Kanok- Nukulchai
Examination Committee(s)Karasudhi, Pisidhi ;Wireland, Martin
Scholarship Donor(s)George Marden's Family
DegreeThesis (M.Eng.) - Asian Institute of Technology, 1984