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Tensors in Newtonian Physics and the Foundations of Classical Continuum Mechanics
In the Newtonian approach to mechanics, the concepts of objective tensors of various ranks and types are introduced. The tough classification of objective tensors is given, including tensors of material and spatial types. The diagrams are constructed for
George L. Brovko
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Numerical study of the Sturm–Liouville problem [PDF]
The article discusses the general Sturm–Liouville problem. To solve it numerically, a new algorithm is proposed, which is based on the varia-tional principle and does not use saturation.
S.D. Algazin, A.A. Sinitsyn
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The approximate model of plane static problems of the nonlinear elasticity theory [PDF]
This article is dedicated to the construction of the approximate mathematical model of the nonlinear elasticity theory for plane strain state. The third order effects method applied to symbolic computing. There three boundary value problems for the first,
Boris Aleksandrovich Zhukov +1 more
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Nagrinėjamas kartotinės mažaciklės apkrovos veikiamų gelžbetoninių konstrukcijių strypinių elementų skerspjūvių laikomosios galios nustatymo uždavinys. Skerspjūvių forma neapibrėžta, gali būti įvairi.
Peter Alyavdin, Valery Simbirkin
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The lipid membranes of living cells are composed of a large number of lipid types and can undergo phase separation with the formation of nanometer-scale liquid-ordered lipid domains, also called rafts. Raft coalescence, i.e., the fusion of lipid domains,
Konstantin V. Pinigin, Sergey A. Akimov
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Relativistic elasticity on an arbitrary spacetime is formulated as a Lagrangian field theory which is covariant under spacetime diffeomorphisms. This theory is the relativistic version of classical elasticity in the hyperelastic, materially frame ...
Ball J M +18 more
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Extraction of consistent shell theory equations from 3D theory of elasticity
Aims of research. Derivation of consistent equations of the theory of thin elastic shells without hypotheses and stress averaging over the shell thickness. Methods.
Evgeny M Zveryaev
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Four simplified gradient elasticity models for the simulation of dispersive wave propagation [PDF]
Gradient elasticity theories can be used to simulate dispersive wave propagation as it occurs in heterogeneous materials. Compared to the second-order partial differential equations of classical elasticity, in its most general format gradient elasticity ...
A.V. Metrikine +9 more
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On the mechanics of FG nanobeams: A review with numerical analysis
Since the classical continuum theories are insufficient to account the small size effects of nanobeams, the nonlocal continuum theories such as Eringen's nonlocal elasticity theory, couple stress theory, strain gradient theory and surface elasticity ...
Atteshamuddin S. Sayyad +2 more
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A New Methodology for Measuring Tsunami Resilience Using Theory of Springs
Resilience is a deeply rooted word in theory of elasticity, which is firstly introduced to English by Thomas Young in 1807 in his treatise “A course of lectures on natural philosophy and the mechanical arts”.
Dinil Pushpalal, Atsushi Suzuki
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