Rigid-plastic torsion of a hollow tube in strain-gradient plasticity. (1st December 2016)

• Record Type: Journal Article
• Authors: Lubarda, Vlado A.
• Is Part Of: International journal of solids and structures. Volume 100/101(2016)
• Page Start: 127
• Page End: 137
• Publication Date: 2016-12-01
• Subjects: Hollow tube -- Material length parameter -- Microstress -- Moment-stress -- Principle of virtual work -- Rigid-plastic -- Strain-gradient plasticity -- Torsion; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2016.07.029
• Languages: English
• ISSNs: 0020-7683

Abstract

Highlights: Rigid-plastic torsion of a hollow tube in a strain-gradient plasticity. Stress, microstress, and moment-stress fields. Torque-twist relationship. Different measures of the gradient-enhanced effective plastic strain. Principle of virtual work for rigid-plastic strain-gradient plasticity. Abstract: Closed-form expressions for the Cauchy stress, microstress, moment-stress, and the torque-twist relationship in a twisted hollow circular tube are derived for a rigid-plastic strain-gradient plasticity. This is accomplished for any of the gradient-enhanced effective plastic strain measures from a considered broad class of these measures. Numerical results are given and discussed for the two most frequently utilized measures and for the three adopted stress-strain relationships modeling the uniaxial tension test. Solid circular rods and thin-walled tubes are both considered. The existence of the line forces is also discussed from the standpoint of the basic equilibrium considerations and the principle of virtual work.