1) elastic-plastic half space
弹塑性半空间
1.
Tabor, the formula of stress field of elastic-plastic half space under normal distributed force is deduced.
Tabor研究出的广义Meyer定律进行了推广,得出了弹塑性半空间体在边界上受法向分布力的计算公式,再根据此公式,对维氏压头和圆锥形压头受竖向静载荷作用于弹塑性半空间时压头下的应力分布进行了求解和做图分析,得出了在大小相等的载荷作用下,压头下的应力分布随Meyer指数n的变化规律,并对不同的压头在相同的n值作用下的压入深度进行了比较。
2) elastic half-space
弹性半空间
1.
Dynamic response of initially stressed moderately thick rectangular plates on elastic half-space foundations;
弹性半空间地基上四边自由中厚矩形板的动力响应
2.
Analytic solution of non-axisymmetric problems in transversely isotropic elastic half-space;
横观各向同性弹性半空间非轴对称问题解析解
3.
The analysis series to general bending of circular plates on elastic half-space;
弹性半空间上圆板的弯曲分析
3) elastic half space
弹性半空间
1.
Based on Reissner-Mindlin first order shear deformation theory,the free and forced vibration analysis for an initially stressed,moderately thick rectangular plate with four free edges on elastic half space foundation was presented.
基于Reissner-Mindlin一阶剪切变形理论,讨论在预加面内机械荷载作用下,弹性半空间地基上四边自由中厚矩形板的横向振动问题。
2.
Based on the theory of elastic half space, bi-direction interpolation method together with third-order spline function method is used to calculate the dynami.
针对正压冲固平台在波浪和海流作用下动力响应问题,应用Morison方程和Stokes五阶波理论计算波浪和海流合力;基于弹性半空间理论并采用三次样条函数双向插值方法求解基础的动刚度和阻尼;在此基础上采用有限元方法计算该平台的动力响应。
3.
An analytic method is developed for the problem of scattering of SH-wave and dynamic stress concentration around a circular cavity near the interface of elastic half space.
建立了求解在含有圆形孔洞的弹性半空间中SH波散射与圆形孔洞附近动应力集中问题的解析方法。
4) semi-infinite elastic foundation
弹性半空间地基
1.
Combined the integral representations for displacements of the semi-infinite elastic foundation subjected to arbitrary vertical dead load with the bending analytic solution of an elastic rectangle plate with four free edges rested on the semi-infinite elastic foundation, an efficient calculating technique for foundation displacements is developed.
将弹性半空间地基受任意竖向荷载作用下的静力位移积分变换解与弹性半空间地基上四边自由矩形板受任意竖向荷载作用下的弯曲解析解相结合,建立了求解板下地基位移的一般方法。
2.
The method of double Fourier transform was employed in the analysis of the semi-infinite elastic foundation with vertical load.
采用双重Fourier变换,分析得到弹性半空间地基受竖向稳态荷载作用下的积分变换解。
3.
The integral transform solution of the semi-infinite elastic foundation under vertical steady loading is combined with the analytic solution of an elastic beam with two free ends,which leads to an analytical solution of the beam with two free ends on the semi-infinite elastic foundation.
将弹性半空间地基受任意横向荷载作用下的静力位移积分变换解与两端自由梁的弯曲解析解相结合,采用三角级数展开的方法,对地基反力不做任何假设,求得了弹性半空间地基上两端自由梁受任意横向荷载作用下的解析解,包括梁的挠度、弯矩及梁与地基之间的接触反力。
5) saturated poroelastic half-space
饱和弹性半空间
1.
Basing on Fourier-Bessel series, the dynamic interactions between moderately thick circular plates and transversely isotropic saturated poroelastic half-space are investigated.
利用Fourier-Bessel级数,对横观各向同性饱和弹性半空间地基与中厚圆板的动力相互作用问题进行了系统地分析。
6) semi-infinite elastic foundation model
弹性半空间模型
补充资料:弹—塑性变分原理
弹—塑性变分原理
elastic-plastic variational principle
tan一suxing bionfen yuanll弹一塑性变分原理(elastie一plastic variation-al Principle)适于弹一塑性材料的能量泛函的极值理论。包括最小势能原理和最小余能原理。塑性加工力学中常用最小势能原理。变形力学问题的能量解法和有限元解法都基于最小势能原理。最小势能原理有全量理论最小势能原理和增量理论最小势能原理。 全量理论最小势能原理在极值路径(应变比能取极值的路径)下运动许可的位移场u‘中,真实的位移和应变使所对应的总势能取最小,即总势能泛涵巾取最小值,其表达式为”一0,’一万〔A(一,一关一〕dV一好多!一‘“ (l)式中“:为位移;户:为外力已知面上的单位表面力;关为体力;A(气)为应变比能。 A(勒)随材料的模型而异。对应变硬化材料(图a), E严_‘_‘_ A(乓r)一二丁二一气助+{刃(r)dr(2) 6(1一2刃~一“‘J一、-一、- 0式中E,,分别为弹性模量和泊松比;艺一硫瓜,r一掩不万,,,f,一,一音。魔。,,一,一,一音。*。!,;。f,为克罗内克(L.Kroneeker)记号,i=夕时a,一l,i笋少时民,一。,把式(2)代入式(1)便得到卡恰诺夫(几·M·Ka、aHoe)原理x的表达式。i厂:八 I’—几 I’一 ab 乞一乏(r)关系图 a一应变硬化材料;占~理想塑性材料 对于理想塑性材料(图b), 艺~ZGr(r
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