Static problems
著者
書誌事項
Static problems
(Solid mechanics and its applications, v. 148 . Self-consistent methods for composites ; v. 1)
Springer, c2008
大学図書館所蔵 全3件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references and index
内容説明・目次
内容説明
This timely text is the first monograph to develop self-consistent methods and apply these to the solution of problems of electromagnetic and elastic wave propagation in matrix composites and polycrystals. Predictions are compared with experimental data and exact solutions. Explicit equations and efficient numerical algorithms for calculating the velocities and attenuation coefficients of the mean (coherent) wave fields propagating in composites and polycrystals are presented.
目次
1. Introduction
2. An elastic medium with sources of external and internal stresses
2.1 Medium with sources of external stresses
2.2 Medium with sources of internal stresses
2.3 Discontinuities of elastic fields in a medium with sources of external and internal stresses
2.4 Elastic fields far from the sources
2.5 Notes
3. Equilibrium of a homogeneous elastic medium with an isolated inclusion
3.1 Integral equations for a medium with an isolated inhomogeneity
3.2 Conditions on the interface between two media
3.3 Ellipsoidal inhomogeneity
3.4 Ellipsoidal inhomogeneity in a constant external field
3.5 Inclusion in the form of a plane layer
3.6 Spheroidal inclusion in a transversely isotropic medium
3.7 Crack in an elastic medium
3.8 Elliptical crack
3.9 Radially heterogeneous inclusion
3.9.1 Elastic fields in a medium with a radially heterogeneous inclusion
3.9.2 Thermoelastic problem for a medium with a radially heterogeneous inclusion
3.10 Multi-layered spherical inclusion
3.11 Axially symmetric inhomogeneity in an elastic medium
3.12 Multi-layered cylindrical inclusion
3.13 Notes
4. Thin inclusion in a homogeneous elastic medium
4.1 External expansions of elastic fields
4.2 Properties of potentials (4.4) and (4.5)
4.3 External limit problems for a thin inclusion
4.3.1 Thin soft inclusion
4.3.2 Thin hard inclusion
4.4 Internal limiting problems and the matching procedure
4.5 Singular models of thin inclusions
4.6 Thin ellipsoidal inclusions
4.7 Notes
5. Hard fiber in a homogeneous elastic medium
5.1 External and internal limiting solutions
5.2 Principal terms of the stress field inside a hard fiber
5.3 Stress fields inside fibers of various forms
5.3.1 Cylindrical fiber
5.3.2 Prolate ellipsoidal fiber
5.3.3 Fiber in the form of a double cone
5.4 Curvilinear fiber
5.5 Notes
6. Thermal and electric fields in a medium with an isolated inclusion
6.1 Fields with scalar potentials in a homogeneous medium with an isolated inclusion
6.2 Ellipsoidal inhomogeneity
6.2.1 Constant external field
6.2.2 Linear external field
6.2.3 Spheroidal inhomogeneity in a transversely isotropic medium
6.3 Multi-layered spherical inclusion in a homogeneous medium
6.4 Thin inclusion in a homogeneous medium
6.5 Axisymmetric fiber in a homogeneous media
7. Homogeneous elastic medium with a set of isolated inclusion
7.1 The homogenization problem
7.2 Integral equations for the elastic fields in a medium with isolated inclusions
7.3 Tensor of the effective elastic moduli
7.4 The effective medium method and its versions
7.4.1 Differential effective medium method
7.5 The effective field method
7.5.1 Homogeneous elastic medium with a set of ellipsoidal inclusions
7.5.2 Elastic medium with a set of spherically layered inclusion
7.6 The Mon-Tanaka method
7.7 Regular lattices
7.8 Thin inclusions in a homogeneous elastic medium
7.9 Elastic medium reinforced with hard thin flakes or bands
7.9.1 Elastic medium with thin hard spheroids (flakes) of the same orientation
7.9.2 Elastic medium with thin hard spheroids homoge neousl distributed over the orientations
7.9.3 Elastic medium with thin hard unidirected bands of the same orientation
7.10 Elastic media with thin soft inclusions and cracks
7.10.1 Thin soft inclusions of the same orientation
7.10.2 Homogeneous distribution of thin soft inclusions over the orientations
7.10.3 Elastic medium with regular lattices of thin inclusions
7.11 Plane problem for a medium with a set of thin inclusions
7.11.1 A set of thin soft elliptical inclusions of the same orientation
7.11.2 Homogeneous distribution of thin inclusions over the orientations
7.11.3 Regular lattices of thin inclusions in plane
7.11.4 A triangular lattice of cracks
7.11.5 Col
「Nielsen BookData」 より