后天习得
发表于 2025-3-25 04:14:27
Foundations of the Clausius-Duhem Inequality context of each of theory, one considers all processes (compatible with classical conservation laws) that bodies composed of the prescribed material might admit, and, moreover, one . that there exists for the theory a “Clausius-Duhem inequality”.
正式演说
发表于 2025-3-25 08:23:36
http://reply.papertrans.cn/83/8215/821457/821457_22.png
freight
发表于 2025-3-25 11:42:58
Diffusion Models Implied by the Theory of Mixturesthe framework of the Theory of Mixtures is discussed in Lecture 6 of the book here republished and in reference of this appendix. The discussion in Lecture 6 is based, in part, on my article , which omits the effects of diffusion. Reference shows how diffusion and chemical reactions can be included in a common framework.
慷慨援助
发表于 2025-3-25 16:56:54
The Onsager Relationse fices reference configuration. The tensor . is the .. A differential equation for the temperature field θ(., .) is obtained from the balance of energy: . in which ε is the energetic, . is the stress power, and . is the body heaing. this last, s is to be regarded as a given function of position; in most special problems it is assumed to vanish.
专心
发表于 2025-3-25 22:12:23
Internal Constraints two concrete cases: classic continua and continua with microstructure; for the latter example, in Section 3A.4, we follow closely the approach of and . Throughout this appendix we strive to adopt the notation and terminology introduced in the text above, although there are some changes, which we shall indicate as they appear.
烦扰
发表于 2025-3-26 04:06:37
Thermodynamics of Diffusionies of heterogeneous media, but a general framework for all such theories seems first to have been laid down in a note of mine., published in 1957. It has been extended by K.. to include electromagnetic effects, couple stresses, and singular surfaces, but today I shall need only its simplest mechanical and thermodynamic aspects.
狼群
发表于 2025-3-26 06:30:54
http://reply.papertrans.cn/83/8215/821457/821457_27.png
乳汁
发表于 2025-3-26 11:38:15
http://reply.papertrans.cn/83/8215/821457/821457_28.png
curriculum
发表于 2025-3-26 13:47:26
Internal Dissipationical context otherwise unspecified, perhaps so as to lend a specious generality to the discourse, modern theorists prefer to state the mechanical basis in detail. What they thereby lose in breadth, they more than gain in concreteness.
entail
发表于 2025-3-26 19:56:08
Discontinuous Thermokinetic Processesl. thermokinetic processes satisfy identically the Clausius-Duhem inequality. However, since processes are to be determined as solutions to systems of nonlinear evolution equations generated by the balance laws of mass, momentum and energy, their smoothness cannot be taken for granted.