Results 21 to 30 of about 158,094 (288)
Nonlinear elasticity of silica nanofiber
APL Photonics, 2019 Optical nanofibers (ONFs) represent versatile nanophotonic platforms for important photonic applications such as optical sensing and quantum and nonlinear optics. The attractiveness of ONFs arises from the tight optical confinement, their wide evanescent
Adrien Godet +5 more
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DeepGreen: deep learning of Green’s functions for nonlinear boundary value problems
Scientific Reports, 2021 Boundary value problems (BVPs) play a central role in the mathematical analysis of constrained physical systems subjected to external forces. Consequently, BVPs frequently emerge in nearly every engineering discipline and span problem domains including ...
Craig R. Gin +3 more
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The problem of dynamic cavitation in nonlinear elasticity [PDF]
, 2013 The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example of non-uniqueness of entropic weak solutions (with polyconvex energy)
Giesselmann, Jan +2 more
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Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation
Journal of Nonlinear Science, 2023 AbstractIn this paper, we formulate the theory of nonlinear elasticity in a geometrically intrinsic manner using exterior calculus and bundle-valued differential forms. We represent kinematics variables, such as velocity and rate of strain, as intensive vector-valued forms, while kinetics variables, such as stress and momentum, as extensive covector ...
Ramy Rashad +4 more
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Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity [PDF]
, 2009 We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is ...
Duruk, Nilay +3 more
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Numerical analysis of large deformation by finite element method [PDF]
Инженерно-строительный журнал, 2013 In this paper a method of numerical studies of elastic-plastic bodies with finite deformations is considered. Constitutive relations obtained using the elastic potential in the flow theory.
L.U. Sultanov, R.L. Davydov
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Archive for Rational Mechanics and AnalysisAbstract Most theories and applications of elasticity rely on an energy function that depends on the strains from which the stresses can be derived. This is the traditional setting of Green elasticity, also known as hyper-elasticity. However, in its original form the theory of elasticity does not assume the existence of a strain energy ...
Arash Yavari, Alain Goriely
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On nonlinear thermo-electro-elasticity [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2016 Electro-active polymers (EAPs) for large actuations are nowadays well-known and promising candidates for producing sensors, actuators and generators. In general, polymeric materials are sensitive to differential temperature histories. During experimental characterizations of EAPs under electro-mechanically coupled loads, it is difficult to maintain ...
Markus Mehnert +2 more
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Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations [PDF]
, 2010 We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonnegative.
A. Erkip +20 more
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Nonlinear elasticity of disordered fiber networks
, 2015 Disordered biopolymer gels have striking mechanical properties including strong nonlinearities. In the case of athermal gels (such as collagen-I) the nonlinearity has long been associated with a crossover from a bending dominated to a stretching ...
Feng, Jingchen +3 more
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