Results 51 to 60 of about 27,675 (302)

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

Fatigue Damage Assessment Method of Crack-like Discontinuous Zone in Nuclear Reactor Structure

Yuanzineng kexue jishu, 2022
There are a large number of local structural discontinuous zones in the form of cracklike defects in the reactor structure, due to the existence of the stress concentration at weld toes, the fatigue performance of the structure will be remarkably ...
YU Mingda;ZHANG Liping;FU Xiaolong;DU Juan;SHAO Xuejiao;JIANG Lu
doaj  

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

Parameter Uniform Numerical Method for Singularly Perturbed 2D Parabolic PDE with Shift in Space

Mathematics, 2022
Singularly perturbed 2D parabolic delay differential equations with the discontinuous source term and convection coefficient are taken into consideration in this paper. For the time derivative, we use the fractional implicit Euler method, followed by the
V. Subburayan, S. Natesan
doaj   +1 more source

A boundary estimate for nonlinear equations with discontinuous coefficients

Differential and Integral Equations, 2001
This paper considers the following \(p\)-Laplacian type equation: \(\text{div} \bigl((ADu \cdot Du) ^{(p-2)/2}ADu\bigr) = \text{div} \bigl(| F| ^{p-2} F\bigr)\), where \(A\) is a symmetric \(n\times n\) matrix with measurable coefficients satisfying a uniform ellipticity condition and with ``vanishing mean oscillation'' (VMO), and \(F\) is \(q ...
Kinnunen, Juha, Zhou, Shulin
openaire   +3 more sources

Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients [PDF]

Journal of Scientific Computing, 2019
For practical applications, the long time behaviour of the error of numerical solutions to time-dependent partial differential equations is very important. Here, we investigate this topic in the context of hyperbolic conservation laws and flux reconstruction schemes, focusing on the schemes in the discontinuous Galerkin spectral element framework.
Philipp Öffner, Hendrik Ranocha
openaire   +2 more sources

Symbolic Regression and Multi‐Objective Optimization of the Flory–Huggins Interaction Parameter for Hydrogels

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, Adrian Ehrenhofer, Thomas Wallmersperger   +2 more
wiley   +1 more source

A linear first-order hyperbolic equation with discontinuous coefficient: distributional shadows and propagation of singularities

Electronic Journal of Differential Equations, 2011
It is well-known that distributional solutions to the Cauchy problem for $u_t + (b(t,x)u)_{x} = 0$ with $b(t,x) = 2H(x-t)$, where H is the Heaviside function, are non-unique.
Hideo Deguchi
doaj  

Solution of the Elliptic Interface Problem by a Hybrid Mixed Finite Element Method

Mathematics
This paper addresses the elliptic interface problem involving jump conditions across the interface. We propose a hybrid mixed finite element method on the triangulation where the interfaces are aligned with the mesh. The second-order elliptic equation is
Yuhan Wang, Peiyao Wang, Rongpei Zhang, Jia Liu   +3 more
doaj   +1 more source

Microstructure‐Controlled Crack Propagation and Fracture Resistance in MoSiBTiC Alloy Revealed by Multiscale Extended Finite Element Method Modeling

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, Takahiro Kaneko, Xinyu Yan, Takahito Ohmura, Kyosuke Yoshimi   +4 more
wiley   +1 more source