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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
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Mechanical behavior of pumpkin fruits subjected to compression during maturation
Pesquisa Agropecuária Tropical, 2013 During handling operations, many problems that reduce the quality of vegetables may occur. Mechanical injuries are the leading cause of postharvest losses for the pumpkin, and can take place at any point of the production chain.
Acácio Figueiredo Neto +4 more
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A theorem on maximum modulus [PDF]
Proceedings of the American Mathematical Society, 1964 then xC8(D), the boundary of D. If x is the only point for which the above identity holds, then x is the peak point for f in D. If x is the peak point for a bounded analytic function in D, then x is a peak point of D. We are interested in knowing which boundary points of D can be peak points. W.
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Relations between the maximum modulus and maximum term of entire functions [PDF]
Pacific Journal of Mathematics, 1985 Relations between the maximum modulus M(R) and the maximum term \(\mu\) (r) of an entire function are investigated by the author. The author derives several such relations. One which gives a clear upper bound for M(r) is the following: Theorem. For every \(R>\epsilon >0\) we have \[ M(R)
Lockhart, P., Straus, E. G.
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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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The Growth on the Maximum Modulus of Double Dirichlet Series
Journal of Function Spaces, 2019 The main purpose of this paper is to investigate the growth of several entire functions represented by double Dirichlet series of finite logarithmic order, h-order.
Yong-Qin Cui, Hong-Yan Xu, Na Li
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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
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Arbitrary Random Variables and Wiman’s Inequality
AxiomsWe study the class of random entire functions given by power series, in which the coefficients are formed as the product of an arbitrary sequence of complex numbers and two sequences of random variables.
Andriy Kuryliak +2 more
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Hydrogen‐Assisted Fracture of Iron‐Based Fe–Ni–Al Alloys
Advanced Engineering Materials, EarlyView.Principal relations and fracture mechanisms of single‐phase and precipitate‐strengthened Fe–Ni–Al alloys subjected to prior electrochemical hydrogen charging are identified. The mechanisms of hydrogen effect on strength and microhardness are discussed, including hydrogen‐induced increase in microhardness and the role of hydrogen in fracture behavior ...
Nataliya Yadzhak +3 more
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Bernstein-type inequalities for analytic functions represented by power series
Математичні СтудіїLet $R\in (0,+\infty]$ and $\mathbb{D}_R=\{z\in \mathbb{C}\colon |z|
S. I. Fedynyak, P. V. Filevych
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