SAINT-VENANT'S TORSION PROBLEM WITH STRESS FUNCTION IN THE FORM OF A THIRD DEGREE POLYNOMIAL | Zendy

Yeh Kai-yuan | Zendy

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SAINT-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 -

acta physica sinica

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.

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