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010   $a3-031-28934-X
024 7 $a10.1007/978-3-031-28934-7
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035   $a(MiAaPQ)EBC30618346
035   $a(Au-PeEL)EBL30618346
035   $a(DE-He213)978-3-031-28934-7
035   $a(PPN)272255947
035   $a(EXLCZ)9927451673700041
100   $a20230704d2023      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMechanics and Geometry of Enriched Continua /$fby Luis Espath
205   $a1st ed. 2023.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023.
215   $a1 online resource (161 pages)
311   $a9783031289330 
327   $aIntroduction -- Integro-differential machinery -- Power balance, fields and hyperfields -- Complementary balances, jump conditions and couple fields -- Thermodynamics -- Coupling -- Environmental surface balances and imbalances -- Boundary conditions -- Final remarks.
330   $aThis monograph presents a comprehensive and rigorous new framework for the theoretical description and modelling of enriched continua. In other words, continua that exhibit more complex behaviour than their conventional counterparts and, in particular, multicomponent systems. It employs gradient theories, exhibiting multiple transition layers described by phase fields. As a point of departure, we account for multiple continuum kinematic processes, including motion and various phase fields. These gradient theories arise by considering various kinematic processes which are tightly linked to the level of the arbitrariness of the Euler?Cauchy cuts. The surface defining the Euler?Cauchy cut may lose its smoothness along a curve, and the curve may also lose its smoothness at a point. Additionally, we postulate the principle of virtual power on surfaces. Then, the first and second laws of thermodynamics with the power balance provide suitable and consistent choices for the constitutive equations. Finally, the complementary balances, namely the balances on surfaces, are tailored to coincide with different parts of the boundaries of the body. These surface balances are then called environmental surface balances and aid in determining suitable and consistent boundary conditions. Ultimately, the environmental surface power balance is relaxed to yield an environmental surface imbalance of powers, rendering a more general type of boundary condition. A detailed introduction sets the scene for the mathematical chapters that follow, ensuring that graduate students and newcomers can profit from the material presented.
606   $aContinuum mechanics
606   $aMathematical physics
606   $aComputer simulation
606   $aThermodynamics
606   $aMaterials science?Data processing
606   $aOptical materials
606   $aContinuum Mechanics
606   $aComputational Physics and Simulations
606   $aThermodynamics
606   $aComputational Materials Science
606   $aOptical Materials
615  0$aContinuum mechanics.
615  0$aMathematical physics.
615  0$aComputer simulation.
615  0$aThermodynamics.
615  0$aMaterials science?Data processing.
615  0$aOptical materials.
615 14$aContinuum Mechanics.
615 24$aComputational Physics and Simulations.
615 24$aThermodynamics.
615 24$aComputational Materials Science.
615 24$aOptical Materials.
676   $a531.7
700   $aEspath$b Luis$01373786
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910734842203321
996   $aMechanics and Geometry of Enriched Continua$93404907
997   $aUNINA