Results 91 to 100 of about 579,120 (288)

Solid‐State Diffusion and Intermetallic Phase Formation in Roll‐Bonded Mg–Zn Composites With Kirigami‐Patterned Inlay

Advanced Engineering Materials, EarlyView.
Mg–Zn composites with a thickness of 0.21 mm were fabricated using roll bonding of a kirigami‐patterned Mg alloy inlay within a Zn matrix. Thermal activation following this process led to the formation of tailored intermetallic structures, which provided the composite with enhanced flexural strength.
Yaroslav Frolov, Oleksandr Bobukh, Christian Klose, Florian Nürnberger, Hans Jürgen Maier   +4 more
wiley   +1 more source

Existence of solutions to Sturm–Liouville boundary value problems

Electronic Journal of Qualitative Theory of Differential Equations
We study the solvability of Sturm–Liouville boundary value problems for $x''=f(t,x,x'), t\in(0,1)$. The nonlinearity can be defined on a bounded set and is required to be continuous on its subset.
Gabriela Mihaylova, Petio Kelevedjiev
doaj   +1 more source

Open boundary conditions for nonlinear initial boundary value problems

Journal of Computational Physics
We present a straightforward energy stable weak implementation procedure of open boundary conditions for nonlinear initial boundary value problems. It simplifies previous work and its practical implementation.
openaire   +4 more sources

A Topology Optimization Framework for the Inverse Design of Nonlinear Mechanical Metamaterials

Advanced Engineering Materials, EarlyView.
This work uses topology optimization to design unit cells for mechanical metamaterials with a prescribed nonlinear stress–strain response. The framework adds contact and postbuckling modeling to synthesize microstructures for three highly nonlinear responses, including pseudoductile behavior, monostable with snap‐through buckling, and bistable ...
Charlie Aveline, Matthew Santer, Robert Hewson   +2 more
wiley   +1 more source

Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance

Electronic Journal of Differential Equations, 2003
We study the existence of weak solutions to the equation $$ Delta_p u = |u|^{p-2} u+f(x,u) $$ with the nonlinear boundary condition $$ | abla u|^{p-2} frac{partial u}{partial u} = lambda |u|^{p-2} u -h(x,u),.
Sandra Martinez, Julio D. Rossi
doaj  

Nonlinear Elliptic Equations with Singular Boundary Conditions

Journal of Mathematical Analysis and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Viscoelasticity equation with nonlinear boundary conditions

Differential and Integral Equations, 2002
The paper deals with the global existence, uniqueness and exponential decay of the energy of solutions to the following problem \[ Lu=u_{tt}-\frac{\partial}{\partial x}F(u_x)- \frac{\partial^2}{\partial x\partial t}F_0(u_x)=f(x,t) Q\in ]0,1[\times]0,T[,\tag{1} \] \[ u(x,0)=u_0(x),\;u_t(x,0)=u_1(x),\;x\in ]0,1[,\tag{2} \] \[ u| _{x=0}=0,\;[u_x+\phi(u_t)]
Kozhanov, A. I., Lar'kin, N. A.
openaire   +3 more sources

High‐Temperature Nanoindentation of Metals: Assessing Thermal Drift, Frame Compliance, and Chemical Composition Effects on the Reported Mechanical Properties

Advanced Engineering Materials, EarlyView.
Do not let thermal drift and instrument artifacts deceive high‐temperature nanoindentation results. We compare classical Oliver–Pharr and automatic image recognition analyses across steels and a Ni alloy to quantify these effects. Accounting for artifacts reveals systematic softening with temperature, while Cr and Ni additions boost resistance ...
Velislava Yonkova, Steffen Brinckmann, Ruth Schwaiger   +2 more
wiley   +1 more source

Iterative Analysis of the Unique Positive Solution for a Class of Singular Nonlinear Boundary Value Problems Involving Two Types of Fractional Derivatives with p-Laplacian Operator

Complexity, 2019
This article is concerned with a class of singular nonlinear fractional boundary value problems with p-Laplacian operator, which contains Riemann–Liouville fractional derivative and Caputo fractional derivative. The boundary conditions are made up of two
Fang Wang, Lishan Liu, Yonghong Wu, Yumei Zou   +3 more
doaj   +1 more source

Strictly convergent algorithm for an elliptic equation with nonlocal and nonlinear boundary conditions

Mathematical Modelling and Analysis, 2012
The paper describes a formally strictly convergent algorithm for solving a class of elliptic problems with nonlinear and nonlocal boundary conditions, which arise in modeling of the steady-state conductive-radiative heat transfer processes.
Karlis Birgelis, Uldis Raitums
doaj   +1 more source