《數學彈性力學研究的若干進展》是科學出版社出版的一本圖書，作者是王敏中,高存法,高陽
基本介紹
- 書名：數學彈性力學研究的若干進展
- 作者： 王敏中,高存法,高陽
- 出版社：科學出版社
- ISBN：9787030690203
內容簡介,圖書目錄,
內容簡介
本書收集了第一作者和他的合作者在數學彈性力學理論研究中的一些論文，涉及的內容有：各向異性彈性力學問題的通解；矩陣的廣義逆與應力函式；Saint-Venant問題、廣義平面應力問題和Sternberg集中力定義的弱假設——梁、板的精化理論；局部邊界積分方程等價於彈性中值定理；某些裂紋、夾雜與空間問題的精確解；多種物理因素(熱、磁、壓電……)作用下彈性力學問題的通解等
圖書目錄
1.關於胡海昌解的完備性 1
2.柱體平衡聖維那解的一個弱假設 10
3.在極坐標中構造平面彈性力學特解的一種方法 17
4.發散積分的有限部分在彈性力學中的套用 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.關於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||彈性通解方法的套用 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 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.雙孔介質彈性動力學通解及其完備性 192
18.廣義逆矩陣和應力函式 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.關於“平面彈性懸臂樑剪下撓度問題” 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.某些數學方法在彈性力學中的套用 525
