Timothy J. Healey
| Timothy J. Healey | |
|---|---|
| Born | |
| 🏳️ Nationality | American |
| 🎓 Alma mater | University of Illinois |
| 💼 Occupation | |
Timothy J. Healey is an American applied mathematician working in the areas of nolinear elasticity, nonlinear partial differential equations, bifurcation theory and the calculus of variations..[1]. He is currently a professor in the Department of Mathematics, Cornell University[2].
Healey is known for his mathematical contributions to nonlinear elasticity particularly the use of group-theoretic methods in global bifurcation problems.[3][4]
Education and Career
Healey received his bachelor's degree in engineering from the University of Missouri in 1976 and worked as a structural engineer between 1978 and 1980[5]. He received his PhD from the University of Illinois at Urbana-Champaign in 1985 under the guidance of Robert Muncaster in mathematics with mentoring from Donald Carlson and Arthur Robinson in mechanics[6]. He spent a postdoctoral year with Stuart Antman at the University of Maryland before joining the faculty at Cornell University, where he has held full-time positions in the Department of Theoretical and Applied Mechanics, Mechanical and Aerospace engineering and Mathematics[7].
Research
Healey's research focuses on mathematical aspects of elasticity theory[8]. In his early career, he made fundamental contributions to the study of global bifurcations in problems with symmetry using group-theoretic methods[9]. He is also known for development of a topological degree similar to the Leray-Schauder degree which leads to the existence of solutions in nonlinear elasticity[10][11]. Healey's work on transverse hemitropy and isotropy in Cosserat rod theory is well known and is a natural setting for studying the mechanics of ropes, cables and biological filaments such as DNA[12][13]. Along with Krömer, he established an almost everywhere local invertibility result for 2nd gradient elasticity which is now widely used in deriving Euler-Lagrange equations in nonlinear elasticity[14][15]
References
- ↑ "Timothy J. Healey". Cornell University Mathematics Department. Cornell University. Retrieved 7 June 2024.
- ↑ "Cornell Math department faculty". Cornell University.
- ↑ Antman, Stuart (2005). Nonlinear Problems of Elasticity. Applied Mathematical Sciences. 107 (2nd ed.). Springer New York, NY. pp. 142, 236, 318, 533. doi:10.1007/0-387-27649-1. ISBN 978-0-387-20880-0. Search this book on
- ↑ "Healey's google scholar". Google Scholar. Retrieved 7 June 2024.
- ↑ "Short biography of Timothy Healey" (PDF). Cornell University Mathematics department. Cornell University. Retrieved 7 June 2024.
- ↑ "Mathematics genealogy of Timothy Healey". Mathematics Genealogy. Mathematics Genealogy project. Retrieved 7 June 2024.
- ↑ "Timothy Healey biography" (PDF). UIUC Structural engineering seminar series. University of Illinois, Urbana-Champaign.
- ↑ "Helaey's google scholar". Google Scholar. Retrieved 7 June 2024.
- ↑ "Symposium Jean Mandel: Problems in Non-Linear Mechanics" (PDF). Laboratoire de Mécanique des Solides. Ecole Polytechnique. Retrieved 7 June 2024.
- ↑ Ciarlet, Philippe G (2021). Mathematical elasticity: Three-dimensional elasticity. Society for Industrial and Applied Mathematics. p. xv (Preface). doi:10.1137/1.9781611976786. ISBN 978-1-611976-77-9. Retrieved 7 June 2024. Search this book on
- ↑ Ball, John M. (2002). Newton, Paul; Holmes, Philip; Weinstein, Alan, eds. Some open problems in elasticity (in Geometry, mechanics, and dynamics) (1 ed.). Springer. p. 26. doi:10.1007/b97525. ISBN 978-0-387-95518-6. Retrieved 7 June 2024. Search this book on
- ↑ Antman, Stuart (2005). Nonlinear Problems of Elasticity. Applied Mathematical Sciences. 107 (2nd ed.). Springer New York, NY. pp. 309–318. doi:10.1007/0-387-27649-1. ISBN 978-0-387-20880-0. Search this book on
- ↑ Healey, Timothy (2002). "Material symmetry and chirality in nonlinearly elastic rods". Mathematics and Mechanics of Solids. 7 (4): 405–240. doi:10.1177/108128028 (inactive 1 November 2024). Retrieved 25 August 2024.
- ↑ Kružík, Martin; Roubíček, Tomáš (2019). Mathematical methods in continuum mechanics of solids (1 ed.). Springer. p. 43. ISBN 978-3-030-02064-4. Search this book on
- ↑ Benesova, Barbora; Kružík, Martin (2017). "Weak lower semicontinuity of integral functionals and applications". SIAM Review. 59 (4): 703–766. arXiv:1601.00390. doi:10.1137/16M1060947. Retrieved 25 August 2024.
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