Results 51 to 60 of about 26,053 (259)
Mathematics, 2021 In this paper, we review two related aspects of field theory: the modeling of the fields by means of exterior algebra and calculus, and the derivation of the field dynamics, i.e., the Euler–Lagrange equations, by means of the stationary action principle.
Ivano Colombaro +2 more
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Dynamical equations of multibody systems on Lie groups
Advances in Mechanical Engineering, 2015 The Euler–Poinaré principle is a reduced Hamilton’s principle under Lie group framework. In this article, it is applied to derive a hybrid set of dynamical equations of rigid multibody systems, which include four parts: the classical Euler–Lagrange ...
Wenjie Yu, Zhenkuan Pan
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, 2011 By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke +5 more
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On differential equations invariant under two-variable M\"obius transformations [PDF]
, 2022 We compute invariants for the two-variable M\"obius transformation. Inparticular we are interested in partial differential equations in two dependentand two independent variables that are kept invariant under ...
MC Nucci +5 more
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Harmonic solutions and weak solutions of two-dimensional rotational incompressible Euler equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, two families of exact solutions to two-dimensional incompressible rotational Euler equations are constructed by connecting the Euler equations with the Laplace equation via a stream function.
Yang Chen, Yunhu Wang, Manwai Yuen
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Development of filtered Euler–Euler two-phase model for circulating fluidised bed: High resolution simulation, formulation and a priori analyses [PDF]
, 2013 Euler–Euler two-phase model simulations are usually performed with mesh sizes larger than the smallscale structure size of gas–solid flows in industrial fluidised beds because of computational resource limitation.
Simonin, Olivier +3 more
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Karl Popper and the Mechanisms of Hydrogen Embrittlement
Advanced Engineering Materials, EarlyView.Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
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Fatigue Crack Initiation and Growth in Nanocrystalline Ni at Multiple Length‐Scales
Advanced Engineering Materials, EarlyView.Overview of miniaturized in situ SEM fatigue setup and resultant fatigue crack growth data for nanocrystalline Ni. The presented study focuses on the analysis of fatigue crack growth rate (FCGR) in focused ion beam‐notched microcantilevers prepared from nanocrystalline (NC) Ni as a model material.
Igor Moravcik +7 more
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Mathematics, 2023 In this paper, we first present an overview of the results related to energy conservation in spaces of Hölder-continuous functions for weak solutions to the Euler and Navier–Stokes equations.
Luigi C. Berselli
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