000			03744nam a22005295i 4500
001			978-0-387-38280-7
003			DE-He213
005			20250710083958.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780387382807 _a99780387382807
024	7		_a10.1007/0-387-38280-1 _2doi
082	0	4	_a515.353 _223
100	1		_aLurie, Konstantin A. _eauthor.
245	1	3	_aAn Introduction to the Mathematical Theory of Dynamic Materials _h[recurso electrónico] / _cby Konstantin A. Lurie.
264		1	_aBoston, MA : _bSpringer US, _c2007.
300			_aXVIII, 181 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aAdvances in Mechanics and Mathematics ; _v15
505	0		_aA General Concept of Dynamic Materials -- An Activated Elastic Bar: Effective Properties -- Dynamic Materials in Electrodynamics of Moving Dielectrics -- G-closures of a Set of Isotropic Dielectrics with Respect to One-Dimensional Wave Propagation -- Rectangular Microstructures in Space-Time -- Some Applications of Dynamic Materials in Electrical Engineering and Optimal Design.
520			_aThis book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials-that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable left-handed dielectrics, optical pumping with high-energy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics. The book discusses some general features of dynamic materials as thermodynamically open systems; it gives their adequate tensor description in the context of Maxwell's theory of moving dielectrics and makes a special emphasis on the theoretical analysis of spatio-temporal material composites (such as laminates and checkerboard structures). Some unusual applications are listed along with the discussion of some typical optimization problems in space-time via dynamic materials. Audience This book is intended for applied mathematicians interested in optimal problems of material design for systems governed by hyperbolic differential equations. It will also be useful for researchers in the field of smart metamaterials and their applications to optimal material design in dynamics.
650		0	_aMATHEMATICS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aMATHEMATICAL OPTIMIZATION.
650		0	_aELECTRODYNAMICS.
650		0	_aVIBRATION.
650		0	_aMATERIALS.
650		0	_aOPTICAL MATERIALS.
650	1	4	_aMATHEMATICS.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aSTRUCTURAL MATERIALS.
650	2	4	_aOPTICAL AND ELECTRONIC MATERIALS.
650	2	4	_aCALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION.
650	2	4	_aCLASSICAL ELECTRODYNAMICS, WAVE PHENOMENA.
650	2	4	_aVIBRATION, DYNAMICAL SYSTEMS, CONTROL.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387382784
830		0	_aAdvances in Mechanics and Mathematics ; _v15
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-38280-1 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c57587 _d57587