Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Giovambattista Amendola"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 72,, Pp 1-42 (2015)
We study the forms of a range of free energy functionals for materials with memory for two types of strain history, namely sinusoidal and exponential behaviours. The work deals with discrete spectrum materials, which are those with relaxation func
Externí odkaz:
https://doaj.org/article/e456beefbc7645ee88087adb594cc418
Publikováno v:
Thermodynamics of Materials with Memory ISBN: 9783030805333
Using a standard representation of a free energy associated with a linear memory constitutive relation, a new condition, involving linear functionals, is derived which, if satisfied, ensures that the free energy is a functional of the minimal state.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31e6c396353e10b397ff145e96d39a58
https://doi.org/10.1007/978-3-030-80534-0_18
https://doi.org/10.1007/978-3-030-80534-0_18
Publikováno v:
Thermodynamics of Materials with Memory ISBN: 9783030805333
Thermodynamics of Materials with Memory ISBN: 9781461416913
Thermodynamics of Materials with Memory ISBN: 9781461416913
When nonlocal materials are considered, the classical laws of thermodynamics must be modified by expressing these laws in terms of internal powers or by introducing directly into them suitable extra fluxes, characteristic of the material under consid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed76f0ea62c1beb6b090d00569d58bb9
https://doi.org/10.1007/978-3-030-80534-0_21
https://doi.org/10.1007/978-3-030-80534-0_21
Publikováno v:
Thermodynamics of Materials with Memory ISBN: 9783030805333
Thermodynamics of Materials with Memory ISBN: 9781461416913
Thermodynamics of Materials with Memory ISBN: 9781461416913
The study of differential problems related to materials with fading memory began with the work of Graffi [111, 112]. Later on, these studies were considered by many authors, and in particular, a new important description of such phenomena was given b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d97d7eba6fce335c514a232918fa41a
https://doi.org/10.1007/978-3-030-80534-0_24
https://doi.org/10.1007/978-3-030-80534-0_24
Publikováno v:
Thermodynamics of Materials with Memory ISBN: 9783030805333
Thermodynamics of Materials with Memory ISBN: 9781461416913
Thermodynamics of Materials with Memory ISBN: 9781461416913
We present in this chapter functionals that are free energies, provided certain assumptions on the relaxation function are valid. In the first section, the general nonisothermal model introduced in Chapter 6 is considered, while in subsequent section
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2efe3a2f4067979f285365e6d5785b89
https://doi.org/10.1007/978-3-030-80534-0_10
https://doi.org/10.1007/978-3-030-80534-0_10
Publikováno v:
Thermodynamics of Materials with Memory ISBN: 9783030805333
Free energies in electromagnetism, as in mechanics, are not in general uniquely determined by the constitutive equations but form a convex set with a minimum and a maximum element. A formula for the minimum free energy of a dielectric material with a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77c0a2449dc02b80ce9f68dc1615e6b9
https://doi.org/10.1007/978-3-030-80534-0_22
https://doi.org/10.1007/978-3-030-80534-0_22
Publikováno v:
Thermodynamics of Materials with Memory ISBN: 9783030805333
Thermodynamics of Materials with Memory ISBN: 9781461416913
Thermodynamics of Materials with Memory ISBN: 9781461416913
This chapter is devoted to outlining some ideas involving that part of the theory of inverse problems that is usually referred to as the identification of parameters (numbers, vectors, matrices, functions) appearing in integrodifferential equations d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04a184f6c4a89b58a06fbddae4048035
https://doi.org/10.1007/978-3-030-80534-0_29
https://doi.org/10.1007/978-3-030-80534-0_29
Publikováno v:
Thermodynamics of Materials with Memory ISBN: 9783030805333
The classical theory of electromagnetism of continua, without memory effects, is first explored. The case of nonlocal materials is also discussed briefly.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b90c4ee7d1e2968351e4a7e9716e3a0
https://doi.org/10.1007/978-3-030-80534-0_6
https://doi.org/10.1007/978-3-030-80534-0_6
Publikováno v:
Thermodynamics of Materials with Memory ISBN: 9783030805333
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bad0bdace9732b3c71ed4beef67549f9
https://doi.org/10.1007/978-3-030-80534-0_17
https://doi.org/10.1007/978-3-030-80534-0_17