橡皮薄膜缺口顶端场的大变形分析

分析了橡皮类薄膜缺口顶端的弹性场，借助于文［１］引入的本构关系得到了缺口顶端场的渐近方程．通过将缺日顶端场划分为收缩角区和扩张角区，得到了顶端场的解．该解表明，奇异特性与本构参数和缺口角度有关，这一结论得到了数值解的证实．     

非经典大变形弹塑性本构方程及其算法研究

本文介绍了作者提出的非经典大变形弹塑性木构方程的增量形式，发展了相应的有限元分析方法。由于不采用屈服面的概念及相应的流动规律与加载准则，与传统的算法相比，本文提出的算法不仅简化了计算过程，而且改善了收敛速度和计算精度。作为验证和应用的例子，分析了圆柱试件的大变形拉伸颈缩过程和短圆柱的镦粗过程。与实验结果的比较证明了所发展方法的有效性。     

Second-Order Shell Kinematics Implied by Rotation Constraint-Equation

The paper presents a general methodology of introducing the shell-type variables which is based on the rotation constraint-equation (RC-equation). The RC-equation is proven to be equivalent to the polar decomposition of the deformation gradient formula, and the rotations which it yields are interpreted in terms of rotations of vectors of an ortho-normal basis. The deformation function and rotations are assumed as polynomials of the thickness coordinate ζ, and in this form used in the RC-equation. Solving this equation, we can express the coefficients of the quadratic deformation function in terms of the following shell-type variables: (a) the mid-surface position x ₀, (b) the constant rotation Q ₀, (c) the rotation vector ψ ^* for the ζ-dependent rotations, and (d) the normal components U ₃₃ ⁰ and U ₃₃ ¹ of the right stretching tensor. This new methodology (i) ensures that all shell kinematical variables are consistent with the RC-equation, which is justified on 3D grounds, (ii) provides a general framework from which various Reissner-type hypotheses can be obtained by suitable assumptions. As an example, two generalized Reissner hypotheses are derived: one with two normal stretches, and the other with the in-plane twist and the bubble-like warping parameters. This revised version was published online in June 2006 with corrections to the Cover Date.     

Lode参数的物理实质及其对塑性流动的影响

回顾了1926年Lode在做屈服准则实验验证时,为了考虑中间主应力的影响而提出的参数μσ,指明其在应力Mohr圆中的几何意义,推证了μσ与应力偏张量第三不变量J3和应变增量比d2ε/d1ε及d3ε/d1ε的定量关系,进而指明μσ给实际成形工序在Mises圆柱上的定位提供了依据,作为工程上的定性分析,μσ值的符号(正或负)可以作为应变类型的判据.     

MECHANISM AND CATASTROPHE THEORY ANALYSIS OF CIRCULAR TUNNEL ROCKBURST

Mechanism of circular tunnel rockburst is that, when the carrying capacity of the centralized zone of plastic deformation in limiting state reduces, the comparatively intact part in rock mass unloads by way of elasticity; rockburst occurs immediately when the elastic energy released by the comparatively intact part exceeds the energy dissipated by plastic deformation. The equivalent strain was taken as a state variable to establish a catastrophe model of tunnel rockburst, and the computation expression of the earthquake energy released by tunnel rockburst was given. The analysis shows that, the conditions of rockburst occurrence are relative to rock's ratio of elastic modulus to descendent modulus and crack growth degree of rocks; to rock mass with specific rockburst tendency, there exists a corresponding critical depth of softened zone, and rockburst occurs when the depth of softened zone reaches.     

海底管道离地点的接触条件探讨

海底管道的铺设分析和提升分析都用到管道和海床之间的接触条件，这个同时含有挠度、转角和弯矩的接触条件，在一般的力学模型中是很难理解的．考虑海床变形，通过海床和管道的变形分析，给出这种接触条件的真实背景和使用条件．     

具有Homologous变形约束立体桁架的形态分析

本文研究了具有Homologous位移约束的结构形状分析问题。文中第一部分把结点分成三类:表示Homologous变形点(自由度=h),形状可变点(自由度=f)和边界点。然后对于任意的桁架结构给出Homologous参数,n=h+f和m=1+f,引入具有n×m的系数矩阵的基础方程。在第二部分,利用广义逆矩阵导出基础方程的解存在条件。然后建立包含未知结点坐标的非线性方程组,并由Newton-Raphson法进行数值分析,以找出最终形状。最后一部分举了一个三维桁架的例子,以说明该方法的有效性,实用性。     

变形测量中的数字散斑相关搜索方法

本文用仿射变换阐述了数字散斑相关方法的基本原理,通过分析散斑位移及其导数对物体变形前后散斑图的相关性的影响,对相关算法作了简化,提出了相关搜索方法.典型的实验证实了该方法的可行性,同时就散斑颗粒尺寸、子区大小对相关识别的影响等问题进行了讨论,初步给出了相关计算的有关最佳参数.     

Déformation cumulée tensorielle dans le référentiel en rotation logarithmiqueCumulated tensorial strain measure in the logarithmic rotating frame.

The time integration of strain rate tensor $\stackrel{?}{\mathit{D}}$ is a central problem in large transformations even if it is often an underlying one. The cumulated tensorial strains, obtained by the time integration of strain rate tensor $\stackrel{?}{\mathit{D}}$, allow the tackling of this problem from a geometrical point of view, and independently of material behaviour considerations. The time integration here takes place in the local objective frame defined by the logarithmic spin proposed by Lehmann et al. and Xiao et al. The numerical results obtained in a closed deformation path are presented here. The advantages and drawbacks of this novel integration for the development of behaviour laws are described. To cite this article: V. Mora et al., C. R. Mecanique 332 (2004).     

固支加筋方板在爆炸载荷作用下的刚塑性动力响应分析

采用能量法分析了固支加筋方板在爆炸载荷作用下的刚塑性动力响应。提出了该类结构在这种载荷作用下的两种变形模态和模态判别条件，导出了计及膜力影响的最大残余横向变形的计算方法及计算公式。并对两种变形模态进行了试验研究，取得了理论计算值与试验值相一致的好结果。