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006			m o d
007			cr |n|||||||||
008			161001s2016 sz ob 000 0 eng d
020			_a3319406825 _q(electronic bk.)
020			_a9783319406824 _q(electronic bk.)
020			_z3319406817
020			_z9783319406817
035			_a(OCoLC)959872751 _z(OCoLC)959536758 _z(OCoLC)959595428 _z(OCoLC)959609353 _z(OCoLC)964553806
040			_aEBLCP _cEBLCP _dIDEBK _dYDX _dN$T _dOCLCO _dN$T _dGW5XE _dOCLCQ _dAZU _dOCLCF _dUAB _dIOG _dMERER _dESU _dOCLCQ _dJBG _dIAD _dICW _dICN _dOTZ _dOCLCQ _dU3W _dES-MaUEC _bspa
050		4	_aQA831 _b.F746 2016 EB
100	1		_aFremond, Michel, _eautor
245	1	0	_aVirtual work and shape change in solid mechanics _cMichel Frémond.
264		1	_aCham _bSpringer
264		4	_c2017.
300			_a1 recurso en línea (xvi, 371 páginas)
336			_aTexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
490	0		_aSpringer series in solid and structural mechanics _vv. 7
500			_aSpringerLink _bSpringer Engineering eBooks 2017 English+International
504			_aIncluye referencias bibliográficas
505	0		_aIntroduction -- The System -- The Principle of Virtual Work -- What We See: the Velocities -- The Actions which are Applied to the System: the Work of the External Forces -- What We See: the Velocities of Deformation -- The Work to Change the Shape of the System -- The Work to Change the Velocities of the System -- The Principle of Virtual Work and the Equations of Motion -- Summary of the Abstract Setting to get the Equations of Motion -- Two Points on a Line -- Three Disks in a Plane -- Three Balls on a Plane -- A Deformable Solid -- Two Deformable Solids -- At a Distance Interactions: Continuum Reinforced by Fibers -- At a Distance Interactions: Continuum Reinforced by Beams -- At a Distance Interactions: Continuum Reinforced by Plates -- Damage of a Connection -- Damage of a Rod Glued on a Rigid Surface -- Damage of a Beam Glued on a Rigid Surface -- A Damageable Solid -- Two Damageable Solids -- Porous Solids -- Discontinuum Mechanics: Collisions and Fractures in Solids -- There is neither Flattening nor Self-contact or Contact with an Obstacle. Smooth Evolution -- There is neither Flattening nor Self-contact or Contact with an Obstacle. Non Smooth Evolution -- There is no Flattening. There is Self-contact and Contact with an Obstacle. Smooth Evolution -- There is no Flattening. There is Self-contact and Contact with an Obstacle. Non Smooth Evolution. Flattening. Smooth and Non Smooth Evolutions -- Conclusions.
520	3		_aThis book provides novel insights into two basic subjects in solid mechanics: virtual work and shape change. When we move a solid, the work we expend in moving it is used to modify both its shape and its velocity. This observation leads to the Principle of Virtual Work. Virtual work depends linearly on virtual velocities, which are velocities we may think of. The virtual work of the internal forces accounts for the changes in shape. Engineering provides innumerable examples of shape changes, i.e., deformations, and of velocities of deformation. This book presents examples of usual and unusual shape changes, providing with the Principle of Virtual Work various and sometimes new equations of motion for smooth and non-smooth (i.e., with collisions) motions: systems of disks, systems of balls, classical and non-classical small deformation theories, systems involving volume and surface damage, systems with interactions at a distance (e.g., solids reinforced by fibers), systems involving porosity, beams with third gradient theory, collisions, and fracturing of solids. The final example of shape change focuses on the motion of solids with large deformations. The stretch matrix and the rotation matrix of the polar decomposition are chosen to describe the shape change. Observation shows that a third gradient theory is needed to sustain the usual external loads. The new equations of motion are complemented with constitutive laws. Assuming a viscoelastic behavior, a mathematically coherent new predictive theory of motion is derived. The results are extended to motion with smooth and non-smooth self-contact, collision with an obstacle, incompressibility, and plasticity. Extreme behaviors are sufficiently numerous to consider the parti pris that a material may flatten into a surface (e.g., flattening of a structure by a power hammer) or a curve (e.g., transformation of an ingot into a wire in an extruder). Flattening is an example of the importance of the spatial variation of the rotation matrix when investigating the motion of a solid.
650		7	_9138325 _aMecánica _2fast _0(OCoLC)fst01013446 _0
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=http://link.springer.com/10.1007/978-3-319-40682-4 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
988			_aEBOOK, asignarmaterias, EBSPRINGER_2017A
998			_b02/2018 _dz _e- _zSI
999			_c94653 _d94653 _x1