Large deflection of a nonlocal gradient cantilever beam

International Journal of Engineering Science, Journal Year: 2024, Volume and Issue: 206, P. 104172 - 104172

Published: Nov. 19, 2024

Language: Английский

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Damage identification in scale sensitive beam-like nano-joints in the framework of space-fractional Euler–Bernoulli theory

Engineering Failure Analysis, Journal Year: 2024, Volume and Issue: 164, P. 108606 - 108606

Published: July 6, 2024

In the paper, a fundamental question about damage identification in scale-sensitive bodies is posed. For this purpose, nano-scale beam-like joints are analyzed using dedicated computational schemes. The theoretical description led framework of non-local space-fractional Euler–Bernoulli (s-FEBB) theory — special case space-Fractional Continuum Mechanical model generalizing classical continuum mechanics utilizing fractional calculus. problem stated as an optimization task where original numerical strategy implemented. What crucial, s-FEBB assumes constitutive parameters identified and validated for silver nanobeam previous studies. Based on tens thousands analyses, we arrive at general conclusion that localization fracture/damage/deterioration material whose dimensions order intrinsic microstructure possible but requires advanced modeling otherwise, can be wrong place or more places, local become distributed one and/or with intensity.

Language: Английский

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Well-posedness and exponential stability of piezoelectric beam with thermal effect and boundary or internal distributed delay

Journal of Thermal Stresses, Journal Year: 2024, Volume and Issue: unknown, P. 1 - 39

Published: Nov. 13, 2024

In this work, we focus on a one-dimensional initial-boundary value problem of thermoelastic piezoelectric beam in the presence magnetic effects with distributed delay acting mechanical equation. The well-posedness system is initially demonstrated by applying semigroup theory (Hille-Yosida theorem). Also, based construction Lyapunov functional, which equivalent to energy functional through multiplier techniques, show that unique dissipation frictional damping strong enough ensure exponential stabilization model. Next, results are compared those electrostatic or quasi-static approaches. Moreover, consider fully dynamic and beams thermal effects, boundary feedback controllers delays using multipliers technique, establish an stability result solution. Our related weights. Finally, give some numerical tests illustrate theoretical result.

Language: Английский

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Elastic active matter — A composite mechanics approach via non-interaction approximation

International Journal of Engineering Science, Journal Year: 2024, Volume and Issue: 206, P. 104170 - 104170

Published: Nov. 17, 2024

Language: Английский

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Computational approaches for structural analysis of wood specimens

REVIEWS ON ADVANCED MATERIALS SCIENCE, Journal Year: 2024, Volume and Issue: 63(1)

Published: Jan. 1, 2024

Abstract The structure tensor (ST), also named a second-moment matrix, is popular tool in image processing. Usually, its purpose to evaluate orientation and conduct local structural analysis. We present an efficient algorithm for computing eigenvalues linking eigenvectors of the ST derived from material structure. performance efficiency our approach are demonstrated through several numerical simulations. proposed evaluated qualitatively quantitatively using different two-dimensional/three-dimensional wood types. This article reviews properties first- second-order STs, their properties, application illustrate usefulness analyzing data. Our results demonstrate that suggested achieves high-quality trajectory high-resolution micro-computed tomography ( μ {\rm{\mu }} CT)-imaging. These orientations lead establishing description fiber states thermo-mechanical models fiber-reinforced composite materials. conclude with overview open research problem directions.

Language: Английский

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