Results 61 to 70 of about 2,374 (222)
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
Direct and inverse spectral theory of Sturm-Liouville differential operators [PDF]
, 2009 Diese Arbeit beschäftigt sich mit inverser Spektraltheorie von selbstadjungierten Sturm-Liouville Differentialoperatoren, induziert durch den gewöhnlichen Differentialausdruck zweiter Ordnung $-\frac{d 2}{dx 2}+q(x)$, im Hilbertraum $L 2(a,b)$. Dabei ist
Eckhardt, Jonathan
core
Spectral families of projections, semigroups, and differential operators
, 1983 This paper presents new developments in abstract spectral theory suitable for treating classical differential and translation operators. The methods are specifically geared to conditional convergence such as arises in Fourier expansions and in Fourier ...
Earl Berkson +2 more
core +1 more source
On stability and model order reduction of perturbed nonlinear neural networks [PDF]
, 2008 In this paper, the qualitative theory of large-scale dynamical systems is surveyed. In particular, the focus is the Hopfield Neural networks both with and without perturbations.
G. G. Grahovski +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
wiley +1 more source
Boundary value problems for semilinear evolution equations of compact type
, 1982 Bibliography: p.
Sager, Herbert Casper
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Biunitary Transformations and Ordinary Differential Equations (1)
, 1991 We reformulate the theory of ordinary differential equations of arbitrary order with nonconstant coefficients, using the formalism of non-Hermitian operators.
Torre, A +10 more
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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
Computing continuous-time growth models with boundary conditions via wavelets. [PDF]
This paper presents an algorithm for solving boundary value differential equations, which often arise in economics from the application of Pontryagin’s maximum principle.
Esteban Bravo, Mercedes +1 more
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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