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用双剪统一屈服准则求矩形板的极限荷载 总被引:10,自引:1,他引:9
采用俞茂宏双剪统一屈服准则求出了矩形板的塑性极限荷载的统一解,得出不同参数b值对极限荷载的影响曲线,从而得出一系列从Tresca的单剪屈服准则解到双剪屈服准则(俞茂宏,1961)的矩形板极限荷载。文献中已有的Tresca解为本文的一个特例。 相似文献
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用双剪统一屈服准则求固支圆板的极限荷载 总被引:5,自引:2,他引:5
首次采用俞茂宏统一屈服准则对圆支圆板进行了塑性极限荷载分析,得出了固支圆板在均布荷载作用下的统一解形式,对于不同的材料,本文均能出相应的极限荷载,可以广泛应用于机械工程的相关结构中。 相似文献
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环形板的塑性极限统一解 总被引:4,自引:0,他引:4
采用统一强度理论求出了环形板的塑性极限荷载,内力场及速度场的统一解,得出不同参数b值及材料的拉压比α对极限荷载的影响曲线。所给出的解可以灵活使用于各种性能的材料,可以充分反映材料的SD效应及中间主应力效应。文献中已有的Tresca解、Mises解、双剪应力屈服准则解以及双剪统一屈服准则均为本文的特例。 相似文献
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具有圆孔的大薄板材料的统一极限解 总被引:2,自引:0,他引:2
采用俞茂宏统一强度对具有圆孔的大薄板材料进行了极限分析,得到了统一解形式,以往基于Tresca、Mises、双剪屈服准则以及Mohr-Coulomb强度理论的极限解均为本文统一解的特例。 相似文献
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Ma Guowei Shoji Iwasaki Yutaka Miyamoto Hideaki Deto 《International Journal of Mechanical Sciences》1998,40(10):108
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. 相似文献
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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. 相似文献
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对已有弹塑性体非连续分叉结果进行了修正 ,使其更为合理。在此基础上 ,基于统一屈服准则 ,得出了金属材料非连续分叉的起始方位角以及相应的硬化模量的统一解析解 ,并且分析了不同程度的中间主应力对结果的影响。进而发现所得的结果与屈服准则的选取有关 ,揭示了在分叉研究中正确选取符合金属材料特性的强度准则的重要性。 相似文献
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A. Sawczuk W.J. O'Donnell J. Porowski 《International Journal of Mechanical Sciences》1975,17(6):411-417
The concept of an equivalent orthotropic material is used in evaluating the collapse loads for perforated plates. Uniformly loaded circular plates are investigated. Limit pressure solutions are obtained for both the simply supported and rigidly built-in edge conditions. Statically admissible radial and circumferential bending moment fields are found and the associated velocity fields are shown to be kinematically admissible. Numerical results are given in dimensionless form covering arbitrary plate geometries over the entire range of material orthotropy.These solutions are quite useful in the plastic analysis and design of perforated plates used as pressure vessel heads, tube sheets, reactor core support plates and the like. Perforated plates have considerably higher effective yield strengths when subjected to equi-biaxial loading than when subjected to loading of arbitrary biaxiality and orientation with respect to the penetration pattern. Thus, the equivalent orthotropic plastic material concept is ideally suited to the analysis of such plates. The resulting limit load pressures are substantially lower than the values obtained using isotropic Tresca yield criterion based on the yield strength for equi-biaxial loading. The results are substantially higher than the values obtained using the maximum isotropic Tresca yield condition falling entirely within the orthotropic yield surface. 相似文献
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厚壁圆筒安定问题的统一解析解 总被引:5,自引:2,他引:3
采用双剪统一强度准则对理想弹塑性材料的厚壁圆筒进行安定性分析,得出了厚壁圆筒加载应力、残余应力及安定极限压力的统一解析解。所得的解不仅能包含以往基于Tresca准则、Mohr—Coulomb准则和广义双剪准则的结果,而且给出一系列新的结果。这些结果能考虑材料的拉压强度差效应及中间主应力效应,因而适应于多种材料。最后,利用所得的解研究了材料的中间主应力效应和拉压强度差效应对厚壁圆筒安定极限压力的影响。结果表明:当考虑材料的拉压强度差效应及中间主应力效应时,厚壁圆筒安定极限压力将明显提高。 相似文献
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Lizhong Wang 《International Journal of Mechanical Sciences》2011,53(5):348-354
Based on a unified yield criterion (UYC), the plastic collapse analysis of thin-walled pipes is conducted in the framework of finite strain. A unified analytical solution for the burst pressure of end-capped defect-free pipes is derived, which is fit for various kinds of non-SD (strength differential) materials. A series of solutions can be deduced from this unified solution, and those solutions of burst pressure on the basis of Tresca, von Mises, ASSY, and TS criteria are special cases of it. By comparing with existing test result, it is found that the present unified solution is very convenient and effective for the prediction of burst pressure. 相似文献