Abstract
For problems of transversely isotropic elasticity, the semi inverse method is usually adopted according to the Saint Venant principle in Euclidean space. However, the result of this method is not accurate since the local effect is neglected in the computation. In this paper, the governing equations of Hamiltonian system are constructed by using dual variables. According to the characteristics of Hamiltonian matrix operators and the method of variable separation, all the analytical solutions of transversely isotropic elastic plane is obtained, and the complete solution space is established. In fact, the solution of any problem can be expressed as a linear combination of these basic solutions. In the numericl calculation, the problem of fixed end constraints is studied, and the stress concentration caused by boundary constraints is described.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.