Results 41 to 50 of about 327,410 (288)

Multimodal Mechanical Testing of Additively Manufactured Ti6Al4V Lattice Structures: Compression, Bending, and Fatigue

Advanced Engineering Materials, EarlyView.
In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart, Jonas Schmidt, Anastasiya Toenjes, Johanna Eisenträger   +3 more
wiley   +1 more source

On stochastic differential equations and a generalised Burgers equation [PDF]

, 2012
In this paper, we discuss a link of Itˆo’s stochastic differential equa- tions to nonlinear partial differential equations of Burgers type. Un- der certain conditions, we derive a generalised Burgers equation from a stochastic differential equation.
Wu, JiangLun, Yang, Wei
core  

Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions

, 2007
A microscopic heterogeneous system under random influence is considered. The randomness enters the system at physical boundary of small scale obstacles as well as at the interior of the physical medium.
A. Bensoussan, A. Cherkaev, A. Mikelić, A.K. Nandakumaran, A.K. Nandakumaran, B. Maslowski, B.L. Rozovskii, C. Timofte, D. Cioranescu, D. Cioranescu, D. Cioranescu, D. Cioranescu, D. Yang, E. Pardoux, G. Allaire, G. Allaire, G. Da Prato, G. Prato Da, G.D. Maso, H. Triebel, H. Watanabe, H.J. Kushner, I. Chueshov, J. Duan, J. Escher, J. Escher, J. Souza, J.L. Lions, J.P. Peixoto, Jinqiao Duan, K. Yosida, L.A. Caffarelli, M. Briane, M. Vanninathan, M.B. Taghite, M.L. Kleptsyna, N. Fusco, P.L. Lions, R. Vold, R.E. Langer, R.M. Dudley, S. Albeverio, S. Brahim-Otsmane, S. Wright, S.N. Antontsev, T. Hintermann, T.E. Duncan, V.A. Marchenko, V.V. Jikov, V.V. Zhikov, V.V. Zhikov, W. Wang, Wei Wang, X. Blanc, Z. Huang   +54 more
core   +2 more sources

Engineering Deformation and Failure in Diamond Triply Periodic Minimal Surface Lattices via 3D Wall‐Thickness Grading

Advanced Engineering Materials, EarlyView.
The work demonstrates that strategic wall‐thickness grading in diamond triply periodic minimal surface lattices enables precise tuning of deformation and failure behavior under compression. Different gradation patterns guide how and where the structure collapses, improving energy absorption or promoting controlled brittle failure.
Giovanni Rizza, Danilo Bruson, Manuela Galati, Luca Iuliano   +3 more
wiley   +1 more source

Research on Enterprise Investment Decision Based on Linear Quadratic Jump Uncertainty Stochastic Differential Game

IEEE Access
Aiming at the objective uncertainty, subjective uncertainty, and extreme events may be in a dynamic system simultaneously. This paper focuses on the differential game problem of a linear quadratic jump uncertain stochastic system. The system is described
Lu Yang, Chengke Zhang, Tao Wang, Xin Chen   +3 more
doaj   +1 more source

Analytic Theory of Itô-Stochastic Differential Equations with Non-smooth Coefficients [PDF]

, 2022
Haesung Lee, Wilhelm Stannat, Gérald Trutnau   +2 more
openalex   +1 more source

Fractional Skyrmion Tubes in Chiral‐Interfaced 3D Magnetic Nanowires

Advanced Functional Materials, EarlyView.
In chiral 3D helical magnetic nanowires, the coupling between the geometric and magnetic chirality provides a way to create topological spin states like vortex tubes. Here, it is demonstrated how the breaking of this coupling in interfaced 3D nanowires of opposite chirality leads to even more complex topological spin states, such as fractional ...
John Fullerton, Naëmi Leo, Jakub Jurczyk, Claire Donnelly, Dédalo Sanz‐Hernández, Luka Skoric, Nicholas Mille, Stefan Stanescu, Donald A MacLaren, Rachid Belkhou, Aurelio Hierro‐Rodriguez, Amalio Fernández‐Pacheco   +11 more
wiley   +1 more source

Existence and uniqueness theorem of associated solutions of the stochastic differential system with measures

Журнал Белорусского государственного университета: Математика, информатика, 2018
The Cauchy problem for stochastic differential system with measures is considered in the paper. Finite-difference with averaging system of stochastic differential equations with correspondence to Cauchy problem is investigated.
Artsiom Y. Rusetski
doaj  

Studying Some Stochastic Differential Equations with trigonometric terms with Application

Zanco Journal of Pure and Applied Sciences, 2022
In this paper we look at several (trigonometric) stochastic differential equations, we find the general form for such nonlinear stochastic differential equation by using the I'to formula.
Abdulghafoor Jasim Salim , Ali A. Asmael
doaj   +1 more source

A general comparison theorem for 1-dimensional anticipated BSDEs

, 2011
Anticipated backward stochastic differential equation (ABSDE) studied the first time in 2007 is a new type of stochastic differential equations. In this paper, we establish a general comparison theorem for 1-dimensional ABSDEs with the generators ...
E. Pardoux, E. Pardoux, N. Karoui El, S. Peng, S. Peng, Xiao-ming Xu, Y. Hu, Z. Yang   +7 more
core   +1 more source