000 04557nam a22006015i 4500
001 978-3-319-70172-1
003 DE-He213
005 20210118153345.0
007 cr nn 008mamaa
008 171201s2017 gw | s |||| 0|eng d
020 _a9783319701721
_9978-3-319-70172-1
024 7 _a10.1007/978-3-319-70172-1
_2doi
050 4 _aQA71-90
072 7 _aPDE
_2bicssc
072 7 _aCOM014000
_2bisacsh
072 7 _aPDE
_2thema
082 0 4 _a004
_223
100 1 _aStraughan, Brian.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMathematical Aspects of Multi–Porosity Continua
_h[electronic resource] /
_cby Brian Straughan.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aIX, 208 p. 7 illus., 4 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvances in Mechanics and Mathematics,
_x1571-8689 ;
_v38
505 0 _aIntroduction -- Models for Double and Triple Porosity -- Double Porosity and Voids -- Comparison of Porosity and Voids Theories -- Uniqueness and Stability by Energy Methods -- Uniqueness Without Definiteness Conditions -- Continuous Dependence in Multi-Porosity Elasticity -- Waves in Double Porosity Elasticity -- Acceleration Waves in Double Voids -- Double Porosity and Second Sound.
520 _aThis book is devoted to describing theories for porous media where such pores have an inbuilt macro structure and a micro structure. For example, a double porosity material has pores on a macro scale, but additionally there are cracks or fissures in the solid skeleton. The actual body is allowed to deform and thus the underlying theory is one of elasticity. Various different descriptions are reviewed. Chapter 1 introduces the classical linear theory of elastodynamics together with uniqueness and continuous dependence results. Chapters 2 and 3 review developments of theories for double and triple porosity using a pressure-displacement structure and also using voids-displacement. Chapter 4 compares various aspects of the pressure-displacement and voids-displacement theories via uniqueness studies and wave motion analysis. Mathematical analyses of double and triple porosity materials are included concentrating on uniqueness and stability studies in chapters 5 to 7. In chapters 8 and 9 the emphasis is on wave motion in double porosity materials with special attention paid to nonlinear waves. The final chapter embraces a novel area where an elastic body with a double porosity structure is analyzed, but the thermodynamics allows for heat to travel as a wave rather than simply by diffusion. This book will be of value to mathematicians, theoretical engineers and other practitioners who are interested in double or triple porosity elasticity and its relevance to many diverse applications.
650 0 _aComputer mathematics.
650 0 _aMechanics.
650 0 _aMechanics, Applied.
650 0 _aMathematical physics.
650 1 4 _aComputational Science and Engineering.
_0http://scigraph.springernature.com/things/product-market-codes/M14026
650 2 4 _aSolid Mechanics.
_0http://scigraph.springernature.com/things/product-market-codes/T15010
650 2 4 _aMathematical Applications in the Physical Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/M13120
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319701714
776 0 8 _iPrinted edition:
_z9783319701738
776 0 8 _iPrinted edition:
_z9783319888958
830 0 _aAdvances in Mechanics and Mathematics,
_x1571-8689 ;
_v38
856 4 0 _uhttps://doi.org/10.1007/978-3-319-70172-1
912 _aZDB-2-SMA
999 _c453454
_d453454
942 _cEB
506 _aAvailable to subscribing member institutions only. Доступно лише організаціям членам підписки.
506 _fOnline access from local network of NaUOA.
506 _fOnline access with authorization at https://link.springer.com/
506 _fОнлайн-доступ з локальної мережі НаУОА.
506 _fОнлайн доступ з авторизацією на https://link.springer.com/