An extended Hamilton principle as unifying theory for coupled problems and dissipative microstructure evolution
نویسندگان
چکیده
Abstract An established strategy for material modeling is provided by energy-based principles such that evolution equations in terms of ordinary differential can be derived. However, there exist a variety models also need to take into account non-local effects capture microstructure evolution. In this case, the described partial equation. contribution, we present how Hamilton’s principle provides physically sound derivation transient field all state variables. Therefore, begin with demonstration generalizes stationary action rigid bodies. Furthermore, show basic idea behind not restricted isothermal mechanical processes. contrast, propose an extended Hamilton which applicable coupled problems and dissipative As example, demonstrate variables thermo-mechanically problems, i.e., displacements, temperature, internal variables, result from stationarity functional. The relation other principles, as virtual work Onsager’s principle, given. Finally, exemplary use elastic, gradient-enhanced, rate-dependent, rate-independent materials.
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ژورنال
عنوان ژورنال: Continuum Mechanics and Thermodynamics
سال: 2021
ISSN: ['0935-1175', '1432-0959']
DOI: https://doi.org/10.1007/s00161-021-01017-z