Leonhard Euler's Critical Analysis of Jacob Bernoulli's Proposal for Ship Propulsion Using Internal Motion
Internal forces within a closed system, such as a ship, cannot generate net motion, as the action and reaction forces cancel out. External interactions are required to propel a ship forward.
Analysis of a Dislocation Model for Earthquake Ground Motion
The authors analyze a dislocation model for simulating ground motion during earthquakes, where the fault region is represented as a surface rather than a thin volume. This allows for efficient numerical approximation by avoiding the need to resolve large deformations in the fault.
A Comparative Study of Mixed Finite Element and Two-Point Stress Approximation Finite Volume Methods for Linearized Elasticity and Cosserat Materials
This paper presents a comparative study of mixed finite element and two-point stress approximation finite volume methods for the numerical simulation of linearized elasticity and Cosserat materials. The methods are assessed for their accuracy, robustness, and computational efficiency.
Modeling Strain Localization as Sharp Discontinuities Using the Deep Ritz Method
The Deep Ritz Method can be used to model strain localization in elastoplastic solids as sharp discontinuities in the displacement field.
Intrinsic Mixed-Dimensional Coupling of Beam, Shell, and Solid Continua via Tangential Differential Calculus
The authors present an approach to coupling mixed-dimensional continua by employing the mathematically enriched linear Cosserat micropolar model, where the kinematical reduction to lower dimensional domains leaves the fundamental degrees of freedom intact, enabling intrinsic agreement of the degrees of freedom at the interface.
Multi-Grid Graph Neural Networks with Self-Attention for Efficient Computational Fluid Dynamics Simulations
A novel multi-grid graph neural network model with self-attention layers achieves significant improvements in computational fluid dynamics simulations, outperforming state-of-the-art models by up to 75% on challenging datasets.
Accurate Real-Time Prediction of Nonlinear Deformation in Hyperelastic Cylinders under Axial Loading
The proposed clustering adaptive Gaussian process regression (CAG) method can accurately and efficiently predict the nonlinear deformation of hyperelastic cylinders under axial stretching and compression, outperforming traditional Gaussian process regression with uniform sampling.
A Node-Based Uniform Strain Virtual Element Method for Modeling Elastoplastic Solids
The node-based uniform strain virtual element method (NVEM) enables linearly-precise virtual elements to accurately model elastoplastic solids while avoiding volumetric locking.
Numerical Analysis and Applications of a Stabilized Total Pressure Formulation of the Biot's Poroelasticity Equations in the Frequency Domain
This work presents a detailed numerical analysis and applications of a stabilized finite element method for solving the Biot's poroelasticity equations in the frequency domain, with a focus on ensuring stability and robustness for a wide range of permeabilities.
Automated Calculation of Stress Intensity Factors (KI-III) from 2D and Stereo Digital Image Correlation Displacement Fields
DIC2CAE, a MATLAB-based tool, automates the conversion of Digital Image Correlation (DIC) data into a format compatible with Computer-Aided Engineering (CAE) software like ABAQUS, enabling accurate simulations and reliable calculations of stress intensity factors (SIFs) and the J-integral.
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