边界元法在求解复合材料力学问题中的应用

本文讨论了边界元法在求解复合材料的微观力学、宏观力学和结构力学问题中的应用,并指出边界元法用于分析复合材料及其结构的力学问题的优点和局限性。      

两非均匀半平面粘结的非均匀平面的裂纹问题*

本文对两个非均匀半平面粘结的非均匀平面的裂纹问题作了分析,文中假定两种材料的泊松比v相同,但杨氏模量随坐标x按不同形式的指数函数变化.本文使用非均匀平面问题的单裂纹解及富氏变换方法, 使问题归为一个柯西型奇异积分方程,最后对应力强度因子的计算给出了若干数值例子.     

双曲-双曲奇异摄动问题的指数型拟合差分格式

本文讨论带有关于x的一阶导数项的双曲奇异摄动初边值问题,在较弱的相容性条件下构造了问题的渐近解并证明了解的一致有效性.然后我们对原问题构造一个指数型拟合差分格式并建立了离散能量不等式.最后我们证明差分问题的解一致收敛于原问题的精确解.     

Postbuckling of imperfect stiffened cylindrical shells under combined external pressure and heating

1.IntroductionStiffenedcylindricalshellsarewidelyusedinmanytypesofstructures.Inpracticetheyoftensubjecttovarioustypesofcombinedthermalandmechanicalloadingandmayhavesignificantandunavoidableinitialgeometricalimperfections.Therefore,thepostbucklingbehaviorofimperfectstiITenedcylindricalshellsundercombinedexternalpress.ureandthermalloadingmustbewellunderstood.Manypostbucklingstudieshavebeenmadetbrstiffenedcylindricalshellsunderpureaxialcompression,uniformexternalpressureortheircombinations,where…     

Exact solutions in 1+1 dimensions of the general two-velocity discrete illner model

The Illner model is the most general two-velocity model of the discrete Boltzmann equation. It includes, as particular cases, both the Carleman and the McKean model. Exact solutions in 1+1 dimensions of the general two-velocity discrete Illner model can be studied in a concise way. The conclusions of the precursors need ameliorating. A new type of exact solutions in 1+1 dimensions is obtained. This gives a general method for studying non-trivial exact solutions for the similar discrete Boltzmann equation. Project supported by the National Natural Science Foundation of China (19631060) and the China Post-Doctoral Science Foundation     

Koiter-boundary layer singular perturbation method for axial compressed stiffened cylindrical shells

I.IntroductionStiffenedandunstiffenedcircularcylindricalshellsfoundwideusesasprimarystructuralcomponentsinunderwatervehicles,offshoreplatformsandotherstructuralconfigurations.Theinitialinvestigationofthebucklingofstiffenedandunstiffenedcircularcylindrical…     

Compensated compactness applied to perturbed fourth and sixth order P. D. E.

I.Introducti0nlnthearticle,wemainlydiscussthefollowingequations:wherej(.)isasmoothnonlinearmapfromRtoR,l'l2andlI'if2.denotethenormofH'(R)andthenormofL'"(R),respectively,C0isaconstant.Asdandsgotozero,theconvergenceandregularityforthesolutionsofEq.(l.l)andE…     

轴压加筋圆柱壳Koiter-边界层奇异摄动法

将Koiter理论和奇异摄动理论中的边界层法相结合,处理加筋圆柱壳无因次化非线性边界层型Karman－Donnell方程由分支点和边界层导致的双重奇异性,提出轴压加筋圆柱壳Koiter-边界层奇异摄动法.对AS－2壳分析表明,本方法具有很好的计算效率和计算精度,与数值解相比更能揭示其内在的影响规律.     

奇摄动非线性状态调节器问题的渐近解*

我们将寻求最优控制和奇摄动非线性状态调节器问题的相应轨道.在适当的假设下将有可能去完成当ε→0时一致有效的渐近解.     

关于大几何参数的开顶扁球壳屈曲问题的奇摄动*

本文利用修正多重尺度法研究了大几何参数的具有刚性中心的边缘铰接的开顶扁球壳,在复合载荷作用下的非线性稳定问题。求得了扁壳几何参数h值较大时,本问题的一致有效的渐近解。