共查询到10条相似文献，搜索用时 31 毫秒
1.
王震鸣 《应用数学和力学(英文版)》1981,2(1):51-78
In this paper, using the equilibrium equations and boundary conditions of elastic stability problem of and the method of mathematical theory of elasticity, we solve some elastic stability problems, which were studied by Ишлынский[2] and Войцеховская[3,4],and obtained more reasonable results than theirs. 相似文献
2.
郭兴明 《应用数学和力学(英文版)》1996,17(5):445-450
ＣＨＡＲＡＣＴＥＲＩＳＴＩＣＳＯＦＳＵＢＤＩＦＦＥＲＥＮＴＩＡＬＳＯＦＦＵＮＣＴＩＯＮＳ（郭兴明）ＣＨＡＲＡＣＴＥＲＩＳＴＩＣＳＯＦＳＵＢＤＩＦＦＥＲＥＮＴＩＡＬＳＯＦＦＵＮＣＴＩＯＮＳ￥ＧｕｏＸｉｎｇｍｉｎｇ（ＲｅｃｅｉｖｅｄＪｕｎｅ１６,１９９５... 相似文献
3.
The boundary element method based on a boundary integral equation has been very successful in computational mechanics. Atluri
et al. [4] recently developed a new meshless method using the local boundary integral equations. It eliminates the tedious
step of mesh generation and thus greatly simplifies the numerical computation process. This paper shows the equivalence between
the local boundary integral equation and the mean value theorem in the theory of elasticity. In addition, it gives new proofs
for the mean value theorem of elasticity and its converse based on the concept of a companion solution.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
4.
Based on the Lie group method, the potential symmetries and invariant solutions for generalized quasilinear hyperbolic equations are studied. To obtain the invariant solutions in an explicit form, the physically interesting situations with potential symmetries are focused on, and the conservation laws for these equations in three physically interesting cases are found by using the partial Lagrangian approach. 相似文献
5.
董明德 《应用数学和力学(英文版)》1984,5(2):1151-1162
Despite the great significance of equations with doubly-periodic coefficients in the methods of mathematical physics, the problem of solving Lamé-Helmholtz equation still remains to be tackled. Arscott and Moglich method of double-series expansion as well as Malurkar nonlinear integral equation are incapable of reaching the final explicit solution.Our main result consists in obtaining analytic expressions for ellipsoidal wave functions of four species (i=1,2,3,4) including the well known Lam(α) functions Eci(snα),Ez1(snα) as special cases. This is effected by deriving two Integra-differential equations with variable coefficients and solving them by integral transform. Generalizing Riemann’s idea of P function, we introduce D function to express their transformation properties. 相似文献
6.
云天铨 《应用数学和力学(英文版)》1997,18(8):749-755
Hertz'ssolutionTheProjectsupportedbytheNaturalScienceFoundationofGuangdongProvinceofChina[.IntroductionTheintegralequationsubjecttoconstraintp(s,te)=o,for(s,W)-(r,o)6Q={(r,O)lF(r,o)>c.}'(l.2)hasbeenstudiedin[l].Themultipleintegrationsimilartothelefthandsi… 相似文献
7.
8.
B.X. Xu M.Z. Wang 《ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik》2007,87(1):59-69
Eshelby proved in 1957 that the strain field within a homogeneous ellipsoidal inclusion embedded in an infinite isotropic media is uniform, when the eigenstrain prescribed in the inclusion is uniform. This uniform strain field property was conjectured to hold exclusively for the ellipsoidally shaped inclusions. In recent studies the authors have discovered the arithmetic mean properties of the strains for N‐fold (N is greater than 2 but unequal to 4) rotational symmetrical inclusions with uniform eigenstrains, called the arithmetic mean theorem of the Eshelby tensors. In this paper, we investigate the two‐dimensional rotational symmetrical inclusions with rotational symmetrical eigenstrains. It is shown that for N‐fold (N is greater than 4) rotational symmetrical inclusions with the same fold rotational symmetrical eigenstrains which are constant on the boundary of the inclusion, the arithmetic mean of the strains at N rotational symmetrical points presents special properties: For the points outside the inclusion, the arithmetic mean vanishes; for the points inside the inclusion, the arithmetic mean is in direct proportion to the eigenstrain on the boundary of the inclusion, with the coefficient tensor equal to the Eshelby tensor for circular inclusions. It is followed that the average strain over the inclusion domain and the line average of strains along a concentric circle inside the inclusion also equal the eigenstrains on the boundary of the inclusion multiplied by the Eshelby tensor for circular inclusions. These properties obtained in this paper can be safely reduced to the results for uniform eigenstrains shown in our former works. 相似文献
9.
Some nonclassical potential symmetry generators and group-invariant solutions of heat equation and wave equation were determined. It is shown that some new explicit solutions of partial differential equations in conserved form can be constructed by using the nonclassical potential symmetry generators which are derived from their adjoint system. These explicit solutions cannot be obtained by using the Lie or Lie-Backlund symmetry group generators of differential equations. 相似文献
10.
针对有限单元法结构分析中的对称方阵广义特征值问题,提出广义Jacobi方法的一种优化算法. 在该算法中,对非对角元素的阈值判断和扫描圈迭代的收敛准则采用了与以往文献中不同的新颖措施,使得该算法不仅适用于对称正定方阵,而且还可应用于全部特征值均为实数时任意对称方阵的广义特征值问题. 并对这一算法给出了证明. 相似文献