Open AccessSAINT-VENANT'S TORSION PROBLEM WITH STRESS FUNCTION IN THE FORM OF A THIRD DEGREE POLYNOMIAL
Author(s) -
Yeh Kai-Yuan
Publication year - 1953
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.9.255
Subject(s) - torsion (gastropod) , twist , inverse , degree of a polynomial , polynomial , torsion constant , degree (music) , elasticity (physics) , mathematical analysis , mathematics , torsion spring , geometry , physics , classical mechanics , thermodynamics , medicine , surgery , acoustics
The free torsion problem, solved by Saint-Venant with semi-inverse method, is well known in the theory of elasticity. "In this paper we discuss this problem systematically by considering a cylindrical bar whose cross section is a simply connected region under twist moment M, and assume that the stress function ψ is in the form of a third degree polynomial.