用双剪统一屈服准则求解某些问题的逆性极限荷载

本文３要用愈茂宏统一屈服准则对固支圆板,矩形板进行了塑性极限荷分析,得出了相应的统一解形式。     

用双剪统一屈服准则求解某些问题的塑性极限荷载

本文采用俞茂宏统一屈服准则对固支圆板、矩形板进行了塑性极限荷载分析,得出了相应的统一解形式。选择不同的参数b,可以得出不同工程材料的塑性极限荷载,具有较好的普遍性和适用性。文献中已有的解均为本文的特例。     

GM准则解析受线性荷载简支圆板的极限载荷

用GM(几何中线)屈服准则,对受线性荷载作用下的简支圆板进行塑性极限分析,求得极限载荷的解析解.该解为圆板半径a、切向应力最大点半径r0以及极限弯矩的函数.与Tresca、Mises和TSS(双剪应力)屈服准则预测的极限载荷比较表明,Tresca屈服准则预测极限载荷的下限,TSS屈服准则预测极限载荷的上限,GM准则预测的极限载荷恰居二者中间,并靠近Mises解.圆板半径a与切向应力最大点半径r0的变化关系为r0随着a的增加而增加,满足线性关系,r0分别出现在r0=0.7710a和r0=0.5472a的位置上.     

简支圆板塑性极限统一解

本文采用双剪统一屈服准则。给出简支圆板在均布荷载作用下塑性极限的统一解，已有解答均是它的特例或线性逼近，说明采用双剪统一屈服准则求解塑性极限具有普遍性和适用性。     

简支圆板在复杂荷载作用下的塑性极限荷载统一解析解

本文采用双剪统一屈服准则对受线性荷载和边缘弯矩联合作用下的简支圆板进行了塑性极限分析，考虑了联合作用的两种形式，分别给出了统一的解析解。得到了极限荷载随不同屈服准则的变化曲线。对于不同的材料，本文均能给出相应的极限荷载。已有的Tresca准则、Von Mises准则、双剪应力准则的解答是文中解答的特例或逼近。本文得到的一系列有规则变化的解析解，可以适用于各种拉压强度相同材料的简支圆板的塑性极限荷载求解。文中统一解大于Tresca单剪理论解，它可以更好地发挥材料的强度潜力，工程应用可以取得明显的经济效益。     

内部爆炸薄圆板的变形及有效载荷

为了研究内爆炸薄圆板的失效与作用载荷特性，在双圆筒装置内开展了铝质、钢质薄圆板内爆炸实验，分析了圆板破坏模式及比冲量载荷特性，并基于相同变形下载荷相等原理，得到了钢质圆板极限变形下的有效比冲量及作用时间，提出了该工况下圆板变形的预估模型。结果表明:在内爆炸载荷作用下，薄圆板的夹持边界和几何中心是应力集中区，产生了塑性大变形、拉伸撕裂、剪切断裂3种破坏模式；圆板的比冲量载荷由初始的波浪式增长逐渐转化为线性增长，30～80 g某温压装药使1 mm厚钢质圆板产生极限变形的有效比冲量作用时间在2.26～2.93 ms之间，经验证，圆钢板变形预估模型得到的装药质量与实验装药质量偏差小于13.3%。     

在径向拉力和横向载荷作用下圆板极限状态的完全解

1.引言 本文对在径向均匀拉力和横向均布力作用下的简支圆板及固支圆板,进行了塑性分析。我们考虑初始塑性流动,不计变形对平衡的影响。分析中,假设材料是理想刚塑性的,且满足Tresca屈服条件。为了简单,只研究理想夹层板。对所述问题,我们得到了极限状态的完全解。     

用广义阶梯函数简化计算简支圆板在复杂荷载作用下的极…

本文将广义阶梯函数应用于薄板的塑性极限分析问题，用以简化计算简支圆板在复杂荷载作用下的极限荷载。文中针对简支圆板在任意局部均布荷载和线性分布荷载共同作用下的塑性极限分析问题，并考虑荷载的五种不同的分布形式，给出相应的极限荷载的计算公式。     

用广义阶梯函数简化计算简支圆板在复杂荷载作用下的极限荷载

本文将广义阶梯函数应用于薄板的塑性极限分析问题，用以简化计算简支圆板在复杂荷载作用下的极限荷载。文中针对简支圆板在任意局部均布荷载和线性分布荷载共同作用下的塑性极限分析问题，并考虑荷载的五种不同的分布形式，给出相应的极限荷载的计算公式。     

用双剪屈服准则对钢筋混凝土板进行塑性铰线的极限分析

利用双剪屈服准则建立了用机动法计算钢筋混凝土薄板极限载荷的新的塑性铰线理论，并导出了双向布置钢筋的钢筋混凝土板的屈服条件，实例计算表明其更符合实验结果。     

Dynamic Plastic Deformation of Curvilinear Plates

A complete analysis is made of the dynamic plastic deformation of hinged or fixed plates with an arbitrary smooth contour. It is shown that the deformation of plates can significantly be dependent on the level of the dynamic load. Cases with low, medium, high, and ultrahigh levels of dynamic loading are distinguished and, for each of them, systems of resolving equations are derived and procedures for their solution are described. Some general properties of the solutions are revealed. An example is considered in which analytical formulas for the residual deflection are derived and limit passages to classical dynamic problems for a circular plate and a bar are analyzed     

Elastoplastic Bending of Plates Resting on Elastic Subgrade under Rotational Symmetry Conditions*

An analysis of rotationally symmetric plates resting on an elastic subgrade is presented. The plates are made of an elastic, perfectly plastic material that obeys Johansen's yield condition and associated flow rule. The analysis is simplified by assuming that any plate element is either entirely elastic or entirely plastic. This assumption is practically fulfilled for a sandwich plate. Differential equations that describe the behavior of plastic zones during the deformation process are derived and solved in closed form. Examples of solutions for uniformly loaded circular plates are given.     

Plastic deformation modes in perforated sheets and their relation to yield and limit surfaces

Construction of mechanism-based plasticity theories for the homogenized response of heterogeneous materials requires identification of plastic deformation modes as a function of loading direction relative to the microstructural details. Herein, we employ an efficient homogenization theory to identify for the first time such deformation modes in plates under plane stress with hexagonal arrays of circular holes at small and intermmediate pore volume fractions, and establish their relation to the branches of initial and subsequent yield and limit surfaces. Newly introduced maps of the intrinsic geometric features of point-wise yield surfaces provide full-field picture of the investigated microstructures’ propensity for plastic strain initiation and localization. The identified characteristic plastic modes provide a rational explanation for the evolving geometric features of subsequent yield and limit surfaces whose branches represent different plastic flow mechanisms, as well as a basis for the construction of a mechanism-based homogenized plasticity theory for use in structural analysis algorithms. The results suggest the need for composite yield surfaces comprised of multiple branches in the construction of mechanism-based homogenized plasticity theory for the investigated class of porous materials.     

考虑材料拉压异性的固支圆板塑性极统一解

本文采用最新的统一强度理论求出了固支圆板的塑性极限荷载,内力场及速度的统一解;得出了强度理论参数b及材料的不同拉压比α对塑性极限的影响曲线,所给出的解可以灵活地适用于各种不同特性的材料及机械、土木、航空等工程的相关结构中,文献中已有的Tresca解,Mises解和双剪统一屈服准则解均为本文的特例,本文的统一解还给出了一系列新的结果,统一解大于Tresca,Mohr-Coulomb的单剪理论解,它可以更好地发挥材料的强度潜力,工程应用可以取得明显的经济效益。     

Limit analysis of circular and annular plates

Summary The problem of the plastic collapse load of circular and annular plates is dealt with. For simply supported and built-in edge plates, different loading conditions are considered and the annular plates are studied for varying geometries. The solutions obtained according to both Tresca's and Mises' yield conditions are exact in the sense of limit analysis.

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Zur Grenztragfähigkeits-Theorie bei Kreis- und Kreisringplatten

Übersicht Es werden Traglasten von Kreis- bzw. Kreisringplatten ermittelt. Dabei werden gelenkig gelagerte sowie eingespannte Kreisplatten bei verschiedener Belastung und Kreisringplatten bei verschiedener Geometrie betrachtet. Die mit Hilfe der Fließbedingungen nach Tresca bzw. v. Mises erhaltenen Lösungen sind exakt im Sinne der Grenztragfähigkeits-Theorie.

     

Limit Analysis of Plates and Shells: Research over Two Decades

This paper summarizes results obtained by the author and his associates and students over the last two decades on limit analysis and optimal plastic design of plates and cylindrical shells. Circular metal plates are first considered, including minimum weight plastic design. Rectangular plates are then treated, both in metal and reinforced concrete. Limit analysis of cylindrical metal shells with reinforcing rings is the next subject, followed by optimal design of such shells. It is concluded that computer-aided analytical methods remain of value to complement purely numerical approaches.     

环板在局部线性荷载作用下的塑性极限分析的计算方法探讨

本文结合环板在线性荷载作用下的塑性极限分析问题,给出一种简便的计算方法,即奇异函数法。文中用此法计算了具有外边界或内边界支承的环板的极限荷载,并画出几何参数对极限荷载的影响曲线。所得的结果具有良好的规律性而且是比较合理的。     

固支圆板安定性的实验研究

本文利用机动法求解固支圆板在循环集中力作用下的安定问题,得到了安定载荷的理论解;利用激光全息的实验方法研究固支圆板的塑性累积现象,测得了安定载荷的上下限,并对实验结果进行了分析研究.