Static and kinematic limit analysis of orthotropic strain-hardening pressure vessels involving large deformation

Exact solutions for plastic responses of orthotropic strain-hardening rotating hollow cylinders

“…(6), it gives 0:5 r R 33 r1 to meet the convexity of the yield function. Following the previous work [12], the stress ratios Fig. 7 shows good agreement between the analytical solutions of equivalent plastic strain by Eq.…”

“…Particularly, the static and the kinematic theorems can be applied together to bracket the exact solutions (e.g. [2,12]). On the other hand, sequential limit analysis has been demonstrated extensively [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] to be an accurate and efficient tool for the large deformation analysis.…”

“…On the other hand, Güven [38] investigated failure pressure of cylindrical vessels considering the Voce hardening law [39] and the plastic orthotropy effect. The first author of this paper also provided exact solutions for plastic limit pressure of orthotropic strain-hardening cylindrical vessels under internal pressure [12].…”

Shakedown Analysis of Framed Structures: Strong Duality and Primal-dual Analysis

“…In the previous work on limit analysis [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35], a generalized Hölder inequality [36] was employed to play a key role in establishing the kinematic (dual) formulation from the corresponding static (primal) formulation [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. By using a generalized Hölder inequality [36], we also equate the greatest lower bound to the least upper bound [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. Based on the strong duality, exact solutions for certain sequential limit analysis problems have been acquired [33]…”

“…By using a generalized Hölder inequality [36], we also equate the greatest lower bound to the least upper bound [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. Based on the strong duality, exact solutions for certain sequential limit analysis problems have been acquired [33][34][35]. On the other hand, Yang [22] stated the primal (lower bound) formulation in the form of l -norm [22,[36][37] on axial forces of truss members while dealing with large deformation of truss structures by limit analysis sequentially.…”