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Multiweights thermomechanics of hemitropic micropolar solids

Мультивесовая термомеханика гемитропных микрополярных тел

Multiweights thermomechanics of hemitropic micropolar solids

Abstract

Статья посвящена вопросам детерминирования алгебраических весов микрои наномасштабных мультивесовых характеристик термомеханики гемитропных микрополярных тел. Обсуждаются фундаментальные понятия псевдоинвариантых элементов объема и площади нечетных целых весов в трехмерном пространстве. Развиваемая теория гемитропной микрополярной термоупругости формулируется в терминах контравариантного псевдовектора спинорных перемещений положительного нечетного веса при условии постулирования абсолютной инвариантности абсолютной термодинамической температуры, массы и массовых плотностей: энтропии, внутренней энергии, свободной энергии Гельмгольца, контролируемого и неконтролируемого производства энтропии. Предложены мультивесовые псевдотензорные формулировки принципа виртуальных перемещений и приведенного уравнения баланса энергии. Получены и проанализированы мультивесовые формулировки псевдовекторных дифференциальных уравнений статики и динамики гемитропного термоупругого тела. Обсуждаются вопросы взаимовлияния алгебраических весов определяющих псевдоскаляров с целью учета их трансформации в результате преобразования трехмерного пространства, меняющего ориентацию координатного базиса на противоположную. The article is devoted to the problems of determining the algebraic weights of microand nanoscale multi-weight characteristics of the hemitropic micropolar thermomechanics. The fundamental concepts of pseudoinvariant volume and area elements of odd integer weights in threedimensional space are discussed. The developing theory of hemitropic micropolar thermoelasticity is formulated in terms of a contravariant pseudovector of spinor displacements of a positive odd weight with the fundamental principle of the absolute invariance of absolute thermodynamic temperature, mass and mass densities of: entropy, internal energy, Helmholtz free energy, controlled and uncontrolled entropy production. Multi-weight pseudotensor formulations of wireless transmission principles and a reduced energy balance equation are proposed. Multiweights formulas for pseudovector differential equations of statics and dynamics of a hemitropic thermoelastic body are obtained and analyzed. The problem of mutual influence of algebraic weights of constitutive pseudoscalars are discussed in order to take into account their transformations as a result of the transformation of three-dimensional space, changing the orientation of the coordinate basis to the opposite.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Top 10%
Top 10%
Top 10%
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