Results 41 to 50 of about 1,675 (248)
Advanced Engineering Materials, EarlyView.We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
wiley +1 more source
Robust Unidirectional Airflow through Avian Lungs: New Insights from a Piecewise Linear Mathematical Model. [PDF]
PLoS Computational Biology, 2016 Avian lungs are remarkably different from mammalian lungs in that air flows unidirectionally through rigid tubes in which gas exchange occurs. Experimental observations have been able to determine the pattern of gas flow in the respiratory system, but ...
Emily P Harvey, Alona Ben-Tal
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Advanced Engineering Materials, EarlyView.A two‐dimensional multiscale finite element analysis framework was established for the first‐generation MoSiBTiC alloy, and the mechanical and fracture‐related parameters of the constituent phases were calibrated through experiments and simulations. The framework provides a basis for analyzing crack propagation behavior in its complex microstructure ...
Junfeng Du +4 more
wiley +1 more source
Numerical solution of ordinary and retarded differntial equations with discontinuou derivatives
Numerische Mathematik, 1973 This paper studies the propagation of discretization error for discontinuou ordinary and retarded differential equations. Various applications are given including one which extends a fundamental theorem of Henrici concerning round-off error.
Feldstein, Alan, Goodman, Richard
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Advanced Engineering Materials, EarlyView.The temperature dependence of fatigue behavior in nickel‐based superalloys is investigated through high‐resolution measurements of plastic localization. While increasing temperature reduces localization and enhances fatigue performance in René 88DT, Inconel 718 exhibits a sharp degradation at intermediate temperature due to intensified slip ...
M. Calvat +5 more
wiley +1 more source
Optimization of the Production of Rubber Compounds Using Mathematical Models
Advanced Engineering Materials, EarlyView.Rubber compounds were mixed in a batch internal mixer, and symbolic regression was used to derive mathematical models linking recipe and process parameters to ram path, torque, and mixing quality (incorporation, dispersion, distribution). Subsequent optimization with evolutionary algorithms identified operating conditions that reduce specific energy ...
Anke Bardehle +7 more
wiley +1 more source
Nonlinear AnalysisWe prove a hybrid fixed point theorem for the product of two operators in a latticeordered Banach algebra and apply to nonlinear hybrid quadratic integral equations of mixed type for proving the existence of maximal and minimal positive integrable ...
Janhavi B. Dhage +2 more
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Dynamical Systems with Discontinuous Solutions and Problems with Unbounded Derivatives
Известия Иркутского государственного университета: Серия "Математика", 2017 V. I. Gurman suggested a description of discontinuous solutions in terms of systems with unbounded derivatives. The idea was in the usage of an auxiliary system of ordinary differential equations including the recession cone of the velocities set. It was
B.M. Miller, E.Ya. Rubinovich
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On the Cauchy Problem for First Order Discontinuous Ordinary Differential Equations
Journal of Mathematical Analysis and Applications, 2001 The author studies the initial value problem \[ x'(t)=f(t,x(t)) \text{ for a.e. }t\in [0,1], \quad x(0)=0, \] where \(f:[0,1] \times \mathbb{R} \to \mathbb{R}\) is not necessarily continuous. He gives conditions for the existence of extremal solutions (in the Carathéodory sense) \(x^\star\) and \(x^{\star\star}\) which satisfy \(x^\star \leq x\) and ...
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Advanced Engineering Materials, EarlyView.Grain boundary triple junctions are an essential ingredient of the microstructure of polycrystalline materials. In this study, a triple junction is observed using atomic‐resolution scanning transmission electron microscopy and characterized. Computer simulations reveal that the junction has a dislocation character that is determined by the joining ...
Tobias Brink +4 more
wiley +1 more source