TY - JOUR
T1 - Mechanical response of a helical body to axial, torsional and radial strain
AU - Karathanasopoulos, Nikolaos
AU - Kress, Gerald
N1 - Funding Information:
The work has been supported by the Swiss National Science Foundation under Project no. 200021-137544-1 . We would also like to thank Prof. E. Mazza and Dr. K. Papailiou, for fruitful discussions.
Publisher Copyright:
© 2015 Elsevier Ltd.
PY - 2015/5/1
Y1 - 2015/5/1
N2 - The axial and torsional response of helical bodies as well as their inner coupling has been in depth analyzed, both from an analytical and a numerical modeling perspective. Herein, the radial deformation is appended as an additional kinematic degree of freedom. To this end, an existing analytical theory is employed and advanced so as to account for radial strain. The extended stiffness matrix entries are further verified with the use of a finite element model over a wide range of helix angular configurations. Overall, closed-form expressions of the 3×3 structural response of the helical body are provided, relating axial, torsional and radial strain to their force and moment resultants.
AB - The axial and torsional response of helical bodies as well as their inner coupling has been in depth analyzed, both from an analytical and a numerical modeling perspective. Herein, the radial deformation is appended as an additional kinematic degree of freedom. To this end, an existing analytical theory is employed and advanced so as to account for radial strain. The extended stiffness matrix entries are further verified with the use of a finite element model over a wide range of helix angular configurations. Overall, closed-form expressions of the 3×3 structural response of the helical body are provided, relating axial, torsional and radial strain to their force and moment resultants.
KW - Axial strain
KW - Axisymmetric response
KW - Helix
KW - Radial strain
KW - Twist
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U2 - 10.1016/j.ijmecsci.2015.02.022
DO - 10.1016/j.ijmecsci.2015.02.022
M3 - Article
AN - SCOPUS:84931201713
SN - 0020-7403
VL - 94-95
SP - 260
EP - 265
JO - International Journal of Mechanical Sciences
JF - International Journal of Mechanical Sciences
ER -