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A stochastic finite element method for fatigue reliability analysis of gear teeth subjected to bending
A stochastic finite element method (SFEM) is developed for accurate structural reliability analysis. Using the second-order three-moment reliability analytical model, this method takes into account such rando...
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Article
Unsteady model of drop Marangoni migration in microgravity
The experiments of drop Marangoni migration have been performed by the drop shift facility of short period of 4.5 s, and the drop accelerates gradually to an asymptotic velocity during the free fall. The unste...
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Article
Coalescence of Pore Columns by Domain Switching
The present paper studies the coalescence of pore columns in ferroelectric ceramics driven by back and forth domain switching under cyclic electric field. A finite element method that incorporates mass transfe...
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Article
Non-relativistic global limits of entropy solutions to the isentropic relativistic Euler equations
We consider in this paper the relativistic Euler equations in isentropic fluids with the equation of state p = κ2ρ, where κ, the sound speed, is a constant less than the speed of light c. We discuss the convergen...
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Article
Irrotational approximation to the quasi-1-d gas flow
Under the assumptions that both initial data and the cross-section have sufficiently small total variation and that the initial data are supersonic (or are subsonic respectively), we prove that in any bounded ...
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Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations
We are concerned in this paper with the non-relativistic global limits of the entropy solutions to the Cauchy problem of 3 × 3 system of relativistic Euler equations modeling the conservation of baryon numbers...
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MD simulation of a copper rod under thermal shock
In this paper, thermoelastic problem of one-dimensional copper rod under thermal shock is simulated using molecular dynamics method by adopting embedded atom method potential. The rod is on axis x, the left outer...
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Twenty-five years of excellence: a retrospective glance of Acta Mechanica Sinica
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Open AccessTransformation method and wave control
Transformation method provides an efficient way to control wave propagation by materials. The transformed relations for field and material during a transformation are essential to fulfill this method. We propo...
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Recent development in structural design and optimization
With the fast development of computational mechanics and the capacity as well as the speed of modern computers, simulation-based structural optimization has become an indispensable tool in the design process o...
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Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations
We consider the Riemann problem of three-dimensional relativistic Euler equations with two discontinuous initial states separated by a planar hypersurface. Based on the detailed analysis on the Riemann solutio...
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Article
Stabilization of coordinated motion for underwater vehicles
This paper presents a coordinating and stabilizing control law for a group of underwater vehicles with unstable dynamics. The coordinating law is derived from a potential that only depends on the relative conf...
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Article
Two-dimensional thermoelastic problem of an infinite magneto-microstretch homogeneous isotropic plate
In this work, the magneto-thermoelastic problem of an infinite microstretch homogeneous isotropic plate placed in a transverse magnetic field is studied in the context of different theories of generalized ther...
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Article
Coordinating control of multiple rigid bodies based on motion primitives
This paper studies the problem of coordinated motion generation for a group of rigid bodies. Two classes of coordinated motion primitives, relative equilibria and maneuvers, are given as building blocks for ge...
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Article
Multiscale analysis on two-dimensional nanoscale adhesive contacts
Nanoscale adhesive contacts play a key role in micro/nano-electro-mechanical systems as the dimension of the components come to nanometer. Experimental studies on nanoscale adhesive contacts are limited by som...
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Article
Footwear traction at different areas on artificial and natural grass fields
Footwear traction has been linked to lower-extremity injuries with the theory that higher traction leads to an increased incidence of injury. Recent studies have challenged this showing similar injury rates on...
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Article
Adaptive multiscale method for two-dimensional nanoscale adhesive contacts
There are two separate traditional approaches to model contact problems: continuum and atomistic theory. Continuum theory is successfully used in many domains, but when the scale of the model comes to nanomete...
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Article
Novel implementation of homogenization method to predict effective properties of periodic materials
Representative volume element (RVE) method and asymptotic homogenization (AH) method are two widely used methods in predicting effective properties of periodic materials. This paper develops a novel implementa...
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Article
Transient stochastic response of quasi integerable Hamiltonian systems
The approximate transient response of quasi integrable Hamiltonian systems under Gaussian white noise excitations is investigated. First, the averaged Itô equations for independent motion integrals and the ass...
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Article
Friction characteristics of nanoscale sliding contacts between multi-asperity tips and textured surfaces
Nanoscale sliding contacts of smooth surfaces or between a single asperity and a smooth surface have been widely investigated by molecular dynamics simulations, while there are few studies on the sliding conta...