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1.
沈惠川 《数学物理学报(A辑)》1998,18(1):78-88
将弹性有限变形问题纳入Lagrange力学的理论体系中,并用经典力学中业已存在的Routh方法构建了有限变形平面应变问题和有限变形平面应力问题的基本微分方程,讨论了有限变形大挠度问题vonkarman方程中存在的矛盾进而提出了两种改进方案. 相似文献
2.
本文是文[50]和[51]的继续.在本文中:(1)将常曲率弹性薄壳的小挠度问题的Love-Kirchhoff方程化归为Schr?dinger方程的求解,并特别指出了它在轴对称问题中的形式:(2)作为小挠度的例子,求得了等厚度球形薄壳在中面力和轴对称外场联合作用下的振动问题的通解,其中的轴对称外场与文[50]不同,它现在是空间位置的函数,而不再是时间的函数;(3)将扁壳大挠度问题的von Kármán-ΒЛасов方程化归为AKNS方程的形式,其一维问题成为简单的Schr(?)dinger方程的本征值问题,从而使非线性问题成为可解的线性问题. 相似文献
3.
沈惠川 《应用数学和力学(英文版)》1986,7(12):1125-1142
This work is the continuation and the distillation of the discussion of Refs. [1-4].(A)From complementarity principle we build up dissipation mechanics in this paper.It is a dissipative theory of correspondence with the quantum mechanics.From this theorywe can unitedly handle problems of macroscopic non-equilibrium thermodynamics andviscous hydrodynamics. and handle each dissipative and irreversible problems in quantummechanics.We prove the basic equations of dissipation mechanics to eigenvalues equationsof correspondence with the Schr(?)dinger equation or Dirac equation in this paper.(B)We unitedly merge the basic nonlinear equations of dissipative type, especially theNavier-Stokes equation as a basic equation for macroscopic non-equilibrium ther-modynamics and viscous hydrodynamics into integrability condition of basic equation ofdissipation mechanics. And we can obtain their exact solutions by the inverse scatteringmethod in this paper. 相似文献
4.
用分析热力学的观点和方法研究了温度的相对论变换公式,得到了与Planck,Einstein和de Broglie完全相同的结果:T=1-β2T0;分析热力学的特色和 优点是,在推演过程 中根本不需要δQ=1-βδQ0这一可能引起争议的和p=p0这 一显而易见的相对论变换公式,它们是作为附带结果出现的.
关键词:
分析热力学
相对论热力学
平衡态热力学
热力学基本Poisson括号 相似文献
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6.
王福山先生谈海森伯(Ⅱ) 总被引:1,自引:0,他引:1
王福山先生谈海森伯(Ⅱ)沈惠川(中国科学技术大学基础物理中心,合肥230026)2对海森伯的不同评价王老师,你写的《第二次世界大战期间德国的原子能工作》和译的海森伯夫人的书,我部仔细读过,当然,关于海森伯在第二次世界大战期间的表现,我听到过不少,但我... 相似文献
7.
沈惠川 《应用数学和力学(英文版)》1984,(4)
On the basis of the anology with quantum electrodynamics,Dirac equation of elastic wave-phonon is developed and the fission of spectrum line of monochoromatic elastic wave under the action of an external field is studied in this paper. 相似文献
8.
沈惠川 《应用数学和力学(英文版)》1984,(6)
In this paper the Euler equation of the deflection of elastic thin plate is reduced to the equation with Schrǒdinger form by the principle of quantum electro-dynamics.Then we can obtain the general solution of deflection of elastic thin bending plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base. 相似文献
9.
沈惠川 《应用数学和力学(英文版)》1982,(6)
This paper generalizes the concept of stress function tensorin static elasticity into the more general case of continuumdynamics.and finds out the expressions for dynamical stressfunction tensor. 相似文献
10.
沈惠川 《应用数学和力学(英文版)》1987,8(2):181-187
We are primarily concerned in this paper with the problem of plasticity. The solution of the problem of stress-increment for plasticity can be put into extremely compact form by famous Dirac matrices and Pauli matrices of quantum electrodynamics. 相似文献