Results 41 to 50 of about 449,344 (264)
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer +3 more
wiley +1 more source
Some identities involving q-poly-tangent numbers and polynomials and distribution of their zeros
In this paper we introduce the q-poly-tangent polynomials and numbers. We also give some properties, explicit formulas, several identities, a connection with poly-tangent numbers and polynomials, and some integral formulas.
CS Ryoo, RP Agarwal
doaj +1 more source
In [1] Leibniz published the first treatment of the subject of calculus. An English translation can be found in [2]; he says that to find a tangent is to draw a right line, which joins two points of the curve having an infinitely small difference, or the
Estep, Samuel
core +1 more source
Influence of an Oxygen‐Free Atmosphere on Diamond‐Single‐Grain Scratching of Ti–6Al–4V
Single‐grain scratching of Ti–6Al–4V is investigated under controlled, oxygen‐free, and ambient atmospheres using a novel experimental setup with in situ high‐speed imaging. The approach enables direct observation of chip formation and adhesion under suppressed oxidation.
Berend Denkena +2 more
wiley +1 more source
Continuum model for polymers with finite thickness
We consider the continuum limit of a recently-introduced model for discretized thick polymers, or tubes. We address both analytically and numerically how the polymer thickness influences the decay of tangent-tangent correlations and find how the ...
A Maritan +9 more
core +1 more source
Evaluating Energy Absorption Performance of Filled Lattice Structures
Maximum stress must be considered to robustly evaluate energy absorber designs. This approach was applied to compare all types of absorbers in a single Ashby diagram and determine the utility of filling lattice voids with a second material. High‐performance fillers can improve the performance of lattices that are limited by buckling or catastrophic ...
Christian Bonney +2 more
wiley +1 more source
Classification of unit-vector fields in convex polyhedra with tangent boundary conditions
A unit-vector field n on a convex three-dimensional polyhedron P is tangent if, on the faces of P, n is tangent to the faces. A homotopy classification of tangent unit-vector fields continuous away from the vertices of P is given.
Brezis H +11 more
core +1 more source
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
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
Numerical Exploration of Thermal Shock Resistance in MgO–C Refractories
A mesostructure‐resolved numerical framework is developed to evaluate the thermal shock resistance of MgO–C refractories. By modeling interface debonding under rapid temperature changes and introducing a modified thermal shock parameter that accounts for mesocracks, the study shows how graphite content and aggregate size influence thermal shock ...
Jishnu Vinayak Gopi +3 more
wiley +1 more source
Control algorithm of YUPENG ship autopilot based on tangent function nonlinear feedback
Autopilot is an important navigation instrument,and it plays an important role in safe navigation.In order to further improve the performance of the autopilot,this paper adopts the first-order closed loop gain shaping algorithm(PID)to design autopilot ...
ZHANG Xian-ku, FENG Yong-xiao
doaj

