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A Cosserat bond-based correspondence model and the investigation of microstructure effect on crack propagation
Microstructure plays a significant role in the fracture behavior of the material. To analyze the microstructure effect on crack propagation, a...
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Uncertainty-aware correspondence identification for collaborative perception
Correspondence identification is essential for multi-robot collaborative perception, which aims to identify the same objects in order to ensure...
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Correspondence measure: a review for the digital twin standardization
This study delves into the critical issue of Digital Twin (DT) technology standardization, focusing on introducing a novel approach called...
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A coupled axisymmetric peridynamics with correspondence material model for thermoplastic and ductile fracture problems
A coupled axisymmetric peridynamics with correspondence material model (CA-PD-CMM) is proposed in this work to predict the heat conduction, plastic...
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Reduced-order modeling of geometrically nonlinear structures. Part II: Correspondence and unified perspectives on different reduction techniques
Reduced-order models derived by routine finite mode Galerkin truncation of nonlinear continuous structures may lead to errors in the results,...
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A Mechanical Theory of Growth
A theory of growth is developed, utilizing the notion of a directional density function that captures the number and distribution of the material...
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Small Perturbation Theory
The classical flutter is formulated and well captured within the linear aerodynamic theory. From a practical point of view this implies that small...
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Fundamental Theory
This chapter gives the related fundamental theory for the admissible consensus of the singular multi-agent systems, including the basic knowledge of...
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Transform Theory
This long and important chapter introduces a mathematical tool called transforms. This is probably the most important mathematical operation used in...
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Identification and Function Theory
We survey in these notes certain constructive aspects of how to recover an analytic function in a plane domain from complete or partial knowledge of...
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Modelling architected beam using a nonlocal derivative-free shear deformable beam theory
It has been well established that the internal length scale related to the cell size plays a critical role in the response of architected structures....
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Research on floating slab track isolator based on mixed media theory
To improve the control effect of the floating slab track system under low-frequency vibration, a vibration isolator scheme based on a liquid and gas...
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Parameter Identification of Surrounding Rock in Underground Engineering Based on Complex Function Theory
To investigate the potential use of the complex function theory in displacement back analysis, a novel method for parameter identification is...
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Modeling of normal stiffness of mechanical joint based on anisotropic fractal theory
An idealized model of elliptical asperities was constructed by combining the geometric features of asperities on rough surfaces with the bivariate...
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A Shear Strength Prediction Theory for Box Girder Strengthened by External Vertical Prestressing Reinforcements
Shear failure is sudden and destructive, making the prediction of shear strength of concrete structures crucial. This study proposes an external...
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Shamrovskii's Version of the Refined Dynamical Plate Theory
This study presents the refined theory of elastic plates developed by A. D. Shamrovskii. This theory has some important features that differ it from...
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An oversampling algorithm of multi-label data based on cluster-specific samples and fuzzy rough set theory
Imbalanced class distributions are common in real-world scenarios, including datasets with multiple labels. One widely acknowledged approach to...
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Fatigue performance analysis of fine aggregate matrix using a newly designed experimental strategy and viscoelastic continuum damage theory
Fine aggregate matrix (FAM), as the matrix phase in asphalt concrete (AC), significantly affects the fatigue behavior of AC. To accurately assess the...
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Stability Prediction of Surrounding Rock in Tunnel Crossing Fault Zone Based on Cusp Catastrophe Theory
To solve the practical engineering problem of cusp catastrophe theory in the prediction of surrounding rock stability. This paper establishes the...
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Dynamic Analysis of an Articulated Offshore Tower Using Stokes Fifth Order Nonlinear Wave Theory
In offshore engineering, a compliant offshore structure accommodates dynamic forces by flexibility rather than rigidly withstanding load effects. As...