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连续介质力学中的非线性问题

连续介质力学中的非线性问题

  • 字数: 292000
  • 装帧: 平装
  • 出版社: 哈尔滨工业大学出版社
  • 出版日期: 2020-09-01
  • 商品条码: 9787560389455
  • 版次: 1
  • 开本: 16开
  • 页数: 240
  • 出版年份: 2020
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内容简介
本书是一本影印版权书,其主要介绍了带有自由边界流体运动理论的非线性问题、可压缩流体理论的算子方式、二维气体动力学的存在性定理、自由边界理论的近期新发展、圆柱爆炸波传播理论、压缩气体三维稳态超音速流动的特征方法、湍流问题的数值解、跨音速流的稳定性、层流边界层在可压缩流体中的稳定性、湍流谱的注释、二维可压缩流体、速度曲线平面的折线逼近方法、偏航圆柱体的边界层等内容。本书适合大学师生及数学爱好者阅读参考。
目录
Introduction
Editorial Note
HYDRODYNAMICS
Non-linear problems in the theory of fluid motion with free boundaries.
Operator methods in the theory of compressible fluids.
An existence theorem in two-dimensional gas dynamics.
Recent developments in free boundary theory.
Theory of the propagation of shock waves from cylindrical charges of explosive.
The method of characteristics in the three-dimensional stationary supersonic flow of a compressible gas.
The numerical solution of the turbulence problem.
On the stability of transonic flows.
Stability of the laminar boundary layer in a compressible fluid.
Remarks on the spectrum of turbulence.
Two-dimensional compressible flows.
Polygonal approximation method in the hodograph plane.
The boundary layer of yawed cylinders.
On shock-wave phenomena: Interaction of shock waves in gases.
The breaking of waves in shallow water.
On Hamilton's principle for perfect compressible fluids.
ELASTICITY AND PLASTICITY
The foundations of the theory of elasticity.
On dynamic structural stability.
Stress-strain relations for strain hardening materials: Discussion and proposed experiments.
The edge effect in bending and buckling with large deflections.
Numerical methods in the solution of problems of non-linear elasticity.
Large deflection theory for rectangular plates.
Discontinuous solutions in the theory of plasticity.
On finite deflections of circular plates.

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