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Stochastic second-gradient continuum theory for particle-based materials: part II
This article is the second part of a previous article devoted to the deterministic aspects. Here, we present a comprehensive study on the development...
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Evaluation of a wavelet-based optical flow method for planar velocimetry using scalar fields
AbstractA wavelet-based optical flow velocimetry (wOFV) method is evaluated in the context of determining flow velocity from scalar images. A...
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Data-driven estimation of scalar quantities from planar velocity measurements by deep learning applied to temperature in thermal convection
The measurement of the transport of scalar quantities within flows is oftentimes laborious, difficult or even unfeasible. On the other hand, velocity...
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Regional gradient observability for fractional differential equations with Caputo time-fractional derivatives
We investigate the regional gradient observability of fractional sub-diffusion equations involving the Caputo derivative. The problem consists of...
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Scalar Forcing Methodology for Direct Numerical Simulations of Turbulent Stratified Mixture Combustion
Scalar forcing in the context of turbulent stratified flame simulations aims to maintain the fuel-air inhomogeneity in the unburned gas. With scalar...
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Adaptive Normal State-Space Notch Digital Filters Using Gradient-Descent Method
The major purpose of this paper is to explore an adaptive recursive notch digital filter by employing the normal state-space description of a...
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Improved MPS Gradient Models for Elasticity Problems
In this study, two novel gradient models are introduced using the well-known mesh-less Moving Particle Semi-implicit (MPS) method to achieve higher...
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Material Theory of Second-Gradient Materials
In the preceding chapter we introduced gradient materials and, in particular, second-gradient materials (K ≡ 2). In what follows, we will consider...
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Adaptive hierarchical hyper-gradient descent
Adaptive learning rate strategies can lead to faster convergence and better performance for deep learning models. There are some widely known...
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A discrete adjoint gradient approach for equality and inequality constraints in dynamics
The optimization of multibody systems requires accurate and efficient methods for sensitivity analysis. The adjoint method is probably the most...
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Speed-Gradient Method in Mechanical Engineering
The paper is devoted to development of the speed-gradient method in the IPME RAS in 1986–2021 and its applications to the problems of mechanical...
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A computationally efficient gradient-enhanced healing model for soft biological tissues
Soft biological tissues, such as arterial tissue, have the ability to grow and remodel in response to damage. Computational method plays a critical...
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A large deformation gradient theory for glassy polymers by means of micromorphic regularization
Cold forming of polycarbonate films results in the formation of shear bands in the necking zone. The numerical results obtained from standard...
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Numerical Homogenisation of Gradient Materials
In this contribution, we present a numerical homogenization procedure for gradient materials. In particular, we investigate the prototypical example...
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Material Theory of Third-Gradient Materials
In the preceding chapter we described the elasticity and plasticity of gradient materials of order two. In what follows, we will consider the...
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Deep-learning-assisted extraction of height-averaged velocity from scalar signal transport in a shallow microfluidic channel
Precise measurement of flow velocity in microfluidic channels is of importance in microfluidic applications, such as quantitative chemical analysis,...
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An Efficient Multi-agent Deep Deterministic Policy Gradient-Based 3D Dynamic Coverage Algorithm
This work studies the problem of dynamic coverage control of multiple Unmanned Aerial Vehicles (UAVs) in the 3 dimensional (3D) environment. In this...
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A vector error gradient compensation method for geometric error of boring deep holes on thin-walled boxes
The final machining process, high-precision boring, can significantly affect the geometric error index of deep holes in gearboxes with thin-walled...
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ScalarGCN: scalar-value association analysis of volumes based on graph convolutional network
AbstractThe relationships in multivariable data are intricate, and there are usually implicit associations between scalar values variables. However,...
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Standard gradient models and application to continuum damage in shell structures
The present paper deals with a gradient damage modeling framework for the case of general shell structures. The particularity of this formulation is...
