Results 51 to 60 of about 724,754 (288)
Solution to the triharmonic heat equation
Electronic Journal of Differential Equations, 2011 In this article, we study the equation $$ frac{partial}{partial t},u(x,t)-c^2circledast u(x,t)=0 $$ with initial condition $u(x,0)=f(x)$. Where x is in the Euclidean space $mathbb{R}^n$, $$ circledast=Big(sum^p_{i=1}frac{partial^2}{partial x^2_i ...
Wancha Satsanit
doaj
Advanced Engineering Materials, EarlyView.Low‐cycle fatigue damage in Mn–Mo–Ni reactor pressure vessel steel is examined using a combined electron backscatter diffraction and positron annihilation lifetime spectroscopy approach. The study correlates texture evolution, dislocation substructure development, and vacancy‐type defect formation across uniform, necked, and fracture regions, providing
Apu Sarkar +2 more
wiley +1 more source
On the convolution product of the distributional families related to the diamond operator [PDF]
, 2004 In this paper, we introduce a distributional family K_{α,β} which is related to the Diamond operator ♦^k iterated k-times. At first we study the properties of K_{α,β} and then we give a sense to the convolution product of K_{α,β}∗ K_{α\u27,β\u27}
Tellez, Manuel A. Aguirre, Kananthai, A.
core +1 more source
Solutions of a partial differential equation related to the oplus operator
Electronic Journal of Differential Equations, 2010 In this article, we consider the equation $$ oplus^ku(x)=sum^{m}_{r=0}c_{r}oplus^{r}delta $$ where $oplus^k$ is the operator iterated k times and defined by $$ oplus^k=Big(Big(sum^p_{i=1}frac{partial^2}{partial x^2_i}Big)^{4}-Big(sum^{p+q}_{j=p+1}
Wanchak Satsanit
doaj
Advanced Engineering Materials, EarlyView.This study examines how helicoidal architectures with different porosities respond to bending. Adjusting layer angle and spacing in 3D‐printed polymers reveals clear tradeoffs between stiffness, strength, and energy absorption. Experiments and simulations highlight designs that distribute stress effectively, offering pathways for optimizing lightweight
Praveenkumar Subhash Patil +2 more
wiley +1 more source
On the Metric Temporal Logic for Continuous Stochastic Processes [PDF]
Logical Methods in Computer ScienceIn this paper, we prove measurability of event for which a general continuous-time stochastic process satisfies continuous-time Metric Temporal Logic (MTL) formula.
Mitsumasa Ikeda +2 more
doaj +1 more source
, 2022 S.557-560Diamond lenses are highly desirable for a variety of optical applications including the operation under high-power, high thermal load and under harsh environmental conditions.
Koidl, P. +3 more
core +1 more source
Comparison of Triply Periodic Minimal Surface Energy Absorbers Under Uniaxial Compressive Loading
Advanced Engineering Materials, EarlyView.This study investigates LCD 3D printed Triply Periodic Minimal Surface (TPMS) structures as mechanical energy absorbers. By comparing various base designs and layered combinations under uniaxial compression, it identifies that a Diamond‐Gyroid sandwich structure offers superior performance.
Sergej Grednev +2 more
wiley +1 more source
, 2022 S.17-26The empirical know-how of single crystalline diamond polishing has been developed over centuries in the diamond gem cutting industry. Since the 1950s new and varied uses and potential applications for synthetically produced diamond have been ...
Schuelke, T., Grotjohn, T.A.
core +1 more source
Advanced Engineering Materials, EarlyView.Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati +11 more
wiley +1 more source