Cosserat Theories: Shells, Rods and PointsSpringer Science & Business Media, 9 de març 2013 - 488 pàgines Continuum Continuum mechanics mechanics provides provides a a theoretical theoretical structure structure for for analyzing analyzing the the response response of of materials materials to to mechanical mechanical and and thermal thermal loads. loads. One One of of the the beauties beauties of of continuum continuum mechanics mechanics is is that that the the fundamental fundamental balance balance laws laws (conservation (conservation of of mass mass and and balances balances of of linear linear momentum, momentum, angular angular momentum, momentum, energy energy and and entropy) entropy) are are valid valid for for all all simple simple materials. materials. Most Most of of the the modern modern research research in in continuum continuum mechanics mechanics focuses focuses on on the the development development of of constitutive constitutive equations equations which which are are used used to to characterize characterize the the response response of of a a particular particular class class of of materials materials (e.g. (e.g. invisicid invisicid fluids, fluids, viscous viscous fluids, fluids, elastic elastic solids, solids, viscoelastic viscoelastic solids, solids, elastic elastic plastic solids, elastic-viscoplastic solids, etc.). plastic solids, elastic-viscoplastic solids, etc.). |
Continguts
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ThreeDimensional Continua | 19 |
Cosserat Shells | 73 |
Cosserat Rods | 191 |
Cosserat Points | 311 |
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angular momentum arbitrary assigned fields associated b₁ balance laws balance of angular balance of linear base vectors beam body force boundary conditions components conservation of mass constant constitutive equations constraint responses continuum mechanics coordinates Cosserat point Cosserat theory cross-section D₁ D¹² d₂ de¹ de² de³ defined determined director couples director inertia coefficients director momentum displacements dot product e₁ e₂ equations of motion exact solution g₁ homogeneous deformations I'th invariant under SRBM ISBN isotropic kinematic kinematic assumption kinetic quantities linear momentum M₁ Moreover Naghdi orthotropic p₁ parallelepiped position vector present configuration Prove the validity reference configuration second order tensor shell shown specified spherical SRBM strain energy function stress superposed symmetric symmetric tensor thickness three-dimensional theory values vanishes yaß ΟΣ ӘР