Journal article
Transition from airy stress function to state space formulation of elasticity
Journal of the Franklin Institute, v 329(5), pp 817-828
1992
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
The transition between the Airy stress function and the state space approach to elasticity is established. It is shown that a formulation based on a state vector that consists of the Fourier transforms of the Airy stress function and its spatial derivatives has advantages due to the simpler nature of the matrix involved. The approach is used as an intermediate step in obtaining the transformed stresses and displacements. The Flamant problem is used as an application. In contrast to previous studies, it is shown that one of the displacement components contains an integral that diverges in the classical sense, but converges in the sense of generalized functions or distributions.
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Details
- Title
- Transition from airy stress function to state space formulation of elasticity
- Creators
- Horacio A. Sosa - Drexel UniversityLeon Y. Bahar - Drexel University
- Publication Details
- Journal of the Franklin Institute, v 329(5), pp 817-828
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:A1992JL26400002
- Scopus ID
- 2-s2.0-38249007983
- Other Identifier
- 991019173971504721
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InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Automation & Control Systems
- Engineering, Electrical & Electronic
- Engineering, Multidisciplinary
- Mathematics, Interdisciplinary Applications