Abstract
In recent years, potential applications have brought about a renewed interest in material with voids. Principally these applications arise in situations where the medium has porosity, rock and soil, bone, and manufactured porous materials. The behavior of granular and porous solids can be analyzed with this theory. This chapter introduces the semi-inverse method applied to the search for variational formulae directly from the field equations and boundary conditions. A family of variational principles for thermo-elasticity with voids is deduced systematically without using the Lagrange multiplier method. The rapid development of computer science and the finite-element applications reveal the importance of searching for a classical variational principle for the discussed problem, which is the theoretical basis of the finite-element methods. Furthermore, such variational formulations have served as a basis for development of a variety of approximate methods of analysis. Recent research reveals that variational theory is also a powerful tool for the mesh-less method or the element-free method.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Variational and Extremum Principles in Macroscopic Systems
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.
