Tresca Criterion

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Wang Guodong - One of the best experts on this subject based on the ideXlab platform.

  • analysis of plastic limit load of simply supported skew plate under uniformed loading with my Criterion
    Materials Science and Technology, 2012
    Co-Authors: Wang Guodong
    Abstract:

    To obtain an analytical solution of the problem of plastic limit load of simply supported skew plate,the simply supported skew plate under uniformed loading is analyzed with MY(mean yield) Criterion.The solution shows that the limit load is a function of skew plate length l1,width l2 and intersection θ,which increases first and then decreases as the intersection θ increases,and decreases with the increasing of the skew plate area.What's more,the solutions of diamond,rectangular and square plates are also deduced.The limit load of square plate calculated by MY solution is compared with those based on Tresca,Mises,as well as TSS yield criteria.The relationship between the limit load of the square plate and the side length of the plate is inverse,and the Tresca Criterion predicts a lower bound of the limit load,while the TSS Criterion predicts an upper bound.However,the limit load by the MY Criterion lies just between the TSS and Tresca solutions,and the MY Criterion is most close to Mises solution.

  • analysis of plastic limit load for simply supported circular plate under linear distributed load by specific plastic work
    Materials Science and Technology, 2012
    Co-Authors: Wang Guodong
    Abstract:

    To obtain an analytical solution of plastic limit load of simply supported skew plate,the plastic limit load of simply supported skew plate under linearly distributed loading is analyzed with the specific plastic work rate of GM(geometrical mid-line) Criterion.The analytical solution based on the GM Criterion is first obtained.The solution shows that the limit load is a function of the radius a,the thickness h and the yield stress σs of the plate.The limit loads calculated by the solutions are compared with those based on Tresca,TSS and Mises yield criteria,and the result shows that Tresca Criterion predicts a lower bound to the limit load,while TSS Criterion predicts an upper bound one.The limit load based on the GM Criterion lies just between the TSS and Tresca solutions—most notably,the GM solution is a little lower than that based on Mises yield Criterion and the relative error between them is about 3.38%.Besides,the relationship between deflection and relative position is also discussed.

Yutaka Miyamoto - One of the best experts on this subject based on the ideXlab platform.

  • limit angular velocity of rotating disc with unified yield Criterion
    International Journal of Mechanical Sciences, 2001
    Co-Authors: Hong Hao, Yutaka Miyamoto
    Abstract:

    Plastic limit analysis of a rotating solid or annular disc with variable thickness is presented in terms of a unified yield Criterion (UYC). Stress distributions of the discs in plastic limit state corresponding to different yield curves are deduced. Upper and lower bounds of the plastic limit solutions are derived by selecting a weighting coefficient in the unified yield Criterion. Stress redistribution is solved when the stress field violates yield Criterion locally. Limit angular velocity as well as the stress distributions with respect to three special criteria, namely the Tresca Criterion, the Mises Criterion (close form solution) and the Yu Criterion are illustrated and compared. The influences of yield Criterion as well as the thickness on plastic limit solution of a rotating disc are demonstrated and discussed.

  • plastic limit analyses of circular plates with respect to unified yield Criterion
    International Journal of Mechanical Sciences, 1998
    Co-Authors: Ma Guowei, Yutaka Miyamoto, Shoji Iwasaki, Hideaki Deto
    Abstract:

    Plastic limit analysis of a circular plate under uniform transverse loading is presented in terms of an unified yield Criterion (UYC). Exact and unified solutions of load-carrying capacities, moment fields and velocity fields for simply supported circular plate, clamped circular plate and annular plate in plastic limit state are derived. Moment fields of the three typical circular plates correspond to different distribution fields on the yield curves. Maximum and minimum plastic limit solutions are deduced for the three types of circular plates by selecting the weighted coefficients with upper and lower bound values in the unified yield Criterion. Moment fields and velocity fields with respect to the three special criteria, namely the Tresca Criterion, the Mises Criterion (close-form solution) and the twin shear stress Criterion are illustrated and compared. The paper presents an effective analytical method to compute the exact plastic limit solution for circular plates in terms of a piecewise linear yield Criterion.

Hideaki Deto - One of the best experts on this subject based on the ideXlab platform.

  • plastic limit analyses of circular plates with respect to unified yield Criterion
    International Journal of Mechanical Sciences, 1998
    Co-Authors: Ma Guowei, Yutaka Miyamoto, Shoji Iwasaki, Hideaki Deto
    Abstract:

    Plastic limit analysis of a circular plate under uniform transverse loading is presented in terms of an unified yield Criterion (UYC). Exact and unified solutions of load-carrying capacities, moment fields and velocity fields for simply supported circular plate, clamped circular plate and annular plate in plastic limit state are derived. Moment fields of the three typical circular plates correspond to different distribution fields on the yield curves. Maximum and minimum plastic limit solutions are deduced for the three types of circular plates by selecting the weighted coefficients with upper and lower bound values in the unified yield Criterion. Moment fields and velocity fields with respect to the three special criteria, namely the Tresca Criterion, the Mises Criterion (close-form solution) and the twin shear stress Criterion are illustrated and compared. The paper presents an effective analytical method to compute the exact plastic limit solution for circular plates in terms of a piecewise linear yield Criterion.

Bo Zhao - One of the best experts on this subject based on the ideXlab platform.

  • a general slip line field solution for the ultimate bearing capacity of a pipeline on drained soils
    Ocean Engineering, 2015
    Co-Authors: Ning Wang, Bo Zhao
    Abstract:

    An accurate evaluation of the ultimate bearing capacity of a cylindrical foundation is crucial for predicting pipe–soil interaction behaviors. A general slip-line field solution is derived for the ultimate bearing capacity of a pipeline on the drained soil obeying Mohr–Coulomb Criterion. The slip-line field around the pipeline matches well with the corresponding plastic incremental-displacement field simulated by utilizing finite element analysis. Parametric studies indicate that as the internal friction angle of the soil approaches zero, the derived bearing capacity factors for the pipeline on the drained soil limit to those for the pipeline on the undrained soil obeying Tresca Criterion. The bearing capacity factors for a fully-smooth pipeline then limit to those for a conventional rectangular strip-footing while the pipeline embedment approaches zero. Moreover, the dimensionless collapse load increases with increasing the pipeline embedment and the pipe–soil interfacial friction.

Sabrina Vantadori - One of the best experts on this subject based on the ideXlab platform.

  • FATIGUE LIFE ESTIMATION IN WELDED JOINTS UNDER MULTIAXIAL LOADINGS
    2015
    Co-Authors: Andrea Carpinteri, Andrea Spagnoli, Sabrina Vantadori
    Abstract:

    Welded joints are frequently locations for cracks initiation and propagation that may cause fatigue failure of engineering structures. Biaxial or triaxial stress-strain states are present in the vicinity of welded joints, due to local geometrical constraints, welding processes and/or multiaxial external loadings. Fatigue life evaluation of welded joints under multiaxial proportional (in-phase) cyclic loading can be performed by using conventional hypotheses (e.g. see the von Mises Criterion or the Tresca Criterion) on the basis of local approaches. On the contrary, the fatigue life predictions of welded joints under non-proportional (out-of-phase) cyclic loading are generally unsafe if these conventional hypotheses are used. A Criterion initially proposed by the authors for smooth and notched structural components has been extended to the fatigue assessment of welded joints. In more detail, fatigue life of welded joints under multiaxial stress states can be evaluated by considering a nonlinear combination of the shear stress amplitude (acting on the critical plane) and the amplitude and the mean value of the normal stress (acting on the critical plane). In the present paper, fatigue lifetimes predicted through the proposed Criterion are compared with experimental fatigue life data available in the literature, related to fatigue biaxial tests

  • multiaxial fatigue life estimation in welded joints using the critical plane approach
    International Journal of Fatigue, 2009
    Co-Authors: Andrea Carpinteri, Andrea Spagnoli, Sabrina Vantadori
    Abstract:

    Abstract Many engineering structures experience multiaxial fatigue states of stress–strain in the vicinity of welded joints. Fatigue assessment of welded joints under proportional (in-phase) cyclic loading can be performed by using conventional hypotheses (e.g., see the von Mises Criterion or the Tresca Criterion) on the basis of local approaches. On the contrary, the fatigue life predictions of welded joints under non-proportional (out-of-phase) cyclic loading are generally poor if these conventional hypotheses are used. In the present paper, the critical plane-based multiaxial fatigue Criterion proposed by Carpinteri and Spagnoli for smooth and notched structural components is extended to the fatigue assessment of welded joints under in- and out-of-phase loadings. The applicability of this Criterion, expressed in terms of nominal stresses, to the fatigue life prediction of welded specimens is investigated by using experimental data available in the literature.