數(shù)學彈性力學研究的若干進展

目錄
1.關于胡海昌解的完備性 1
2.柱體平衡圣維那解的一個弱假設 10
3.在極坐標中構(gòu)造平面彈性力學特解的一種方法 17
4.發(fā)散積分的有限部分在彈性力學中的應用 21
5.On the Assumption of Saint-Venant's Problem 33
6.受一般載荷的楔：佯謬的解決 41
7.關于以應力表示的彈性力學邊值問題 55
8.Brebbia's Indirect Representation and the Completeness of Papkovich-Neuber's and Boussinesq-Galerkin's Solutions in Elasticity 68
9.半空間的熱彈性問題||彈性通解方法的應用 73
10.兩種材料組成彈性體的界面裂紋問題 90
11.半無限長圓管內(nèi) Stokes 流的入口流 96
12.General Complete Solutions of the Equations of Spatial and Axisymmetric Stokes Flow 106
13.Decay Rates for the Hollow Circular Cylinder 119
14.各向異性彈性力學一般邊值問題的廣義 Stroh 公式 136
15.The Anisotropic Elastic Semi-Infinite Strip 157
16.橫觀各向同性彈性體軸對稱問題的通解及其完備性 176
17.雙孔介質(zhì)彈性動力學通解及其完備性 192
18.廣義逆矩陣和應力函數(shù) 197
19.Complete Solution of the Linear Magnetoe-lasticity and the Magnetic Fields in a Magnetized Elastic Half-Space 205
20.Completeness and Nonuniqueness of General Solutions of Transversely Isotropic Elasticity 219
21.Stress Functions in Two-Dimensional， Three-Dimensional and n-Dimensional Elasticity 234
22.Collinear Permeable Cracks in Thermopiezoelectric Materials 241
23.Equivalence Between the Local Boundary Integral Equation and the Mean Value Theorem in the Theory of Elasticity 257
24.The Decomposed Form of the Three-Dimensional Elastic Plate 267
25.關于“平面彈性懸臂梁剪切撓度問題” 278
26.The Ellipsoidal Inhomogeneity with Imperfect Interface 284
27.具有孔洞的雙周期熱彈性平面問題的復勢 297
28.A Note on the Limit Definition of Concentrated Loads 311
29.The Quasi Eshelby Property for Rotational Symmetrical Inclusions of Uniform Eigencurvatures within an Infinite Plate 320
30.Comment on “Stress Boundary Conditions for Plate Bending” by F.Y.M.Wan [Int.J.Solids Struct.40(2003) 4107-4123] 334
31.On the Canonical Elastic Moduli of Linear Plane Anisotropic Elasticity 336
32.The Equivalence of the Refined Theory and the Decomposition Theorem of Rectangular Beams 349
33.Three-dimensional Green's Functions for Infinite Anisotropic Piezoelectric Media 367
34.Recent General Solutions in Linear Elasticity and Their Applications 374
35.Elastic Fields for the Ellipsoidal Cavity Problem 431
36.On the Generalized Plane Stress Problem， the Gregory Decomposition and the Filon Mean Method 449
37.General Representations of Polynomial Elastic Fields 482
38.Inhomogeneity Problem with a Sliding Interface under Remote Shearing Stress 502
39.On the Assumptions of the Generalized Plane Stress Problem and the Filon Average 513
40.某些數(shù)學方法在彈性力學中的應用 525