Dingyuan Liu
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View article: On multiplicities of interpoint distances
On multiplicities of interpoint distances Open
Given a set $X\subseteq\mathbb{R}^2$ of $n$ points and a distance $d>0$, the multiplicity of $d$ is the number of times the distance $d$ appears between points in $X$. Let $a_1(X) \geq a_2(X) \geq \cdots \geq a_m(X)$ denote the multiplicit…
View article: Effect of carbon content on the microstructure and tensile properties of IN718 superalloy by modified thermally controlled solidification process
Effect of carbon content on the microstructure and tensile properties of IN718 superalloy by modified thermally controlled solidification process Open
View article: Subset Selection Problems in Planar Point Sets
Subset Selection Problems in Planar Point Sets Open
Given a finite set satisfying condition $\mathcal{A}$, the subset selection problem asks, how large of a subset satisfying condition $\mathcal{B}$ can we find? We make progress on three instances of subset selection problems in planar poin…
View article: Proposal for a New Method for Evaluating Polymer-Modified Bitumen Fatigue and Self-Restoration Performances Considering the Whole Damage Characteristic Curve
Proposal for a New Method for Evaluating Polymer-Modified Bitumen Fatigue and Self-Restoration Performances Considering the Whole Damage Characteristic Curve Open
Fatigue performance and self-repairing activity of asphalt binders are two properties that highly influence the fatigue cracking response of asphalt pavement. There are still numerous gaps in knowledge to fill linked with these two charact…
View article: Proposal of a New Procedure for Assessing the Performance of the Self-Healing Polymer-Modified Asphalt Binders with an Integral Vision of the Damage Characteristic Curves
Proposal of a New Procedure for Assessing the Performance of the Self-Healing Polymer-Modified Asphalt Binders with an Integral Vision of the Damage Characteristic Curves Open
Fatigue performance and self-repairing activity of asphalt binders are two properties that highly influence the fatigue cracking response of asphalt pavement. There are still numerous gaps of knowledge to fill linked with these two charact…
View article: Induced saturation for complete bipartite posets
Induced saturation for complete bipartite posets Open
Given $s,t\in\mathbb{N}$, a complete bipartite poset $\mathcal{K}_{s,t}$ is a poset whose Hasse diagram consists of $s$ pairwise incomparable vertices in the upper layer and $t$ pairwise incomparable vertices in the lower layer, such that …
View article: Development of a Framework for Assessing Bitumen Fatigue Cracking Performance under Different Temperatures and Aging Conditions
Development of a Framework for Assessing Bitumen Fatigue Cracking Performance under Different Temperatures and Aging Conditions Open
A full understanding of bitumen fatigue cracking behavior is extremely important as this phenomenon has a considerable influence on bituminous pavement performance. The current framework for assessing this asphalt binder property is incons…
View article: Proposal of a New Framework to Assess the Bitumen Fatigue Cracking Performance of Diverse Types of Asphalt Binders under Different Temperatures and Aging Conditions
Proposal of a New Framework to Assess the Bitumen Fatigue Cracking Performance of Diverse Types of Asphalt Binders under Different Temperatures and Aging Conditions Open
At present, failure definition and damage characteristic curve (DCC) analysis included in the framework to assess bitumen fatigue cracking performance have an inconsistency in ranking bitumen fatigue behaviour. This study utilized two type…
View article: Performance Assessment of Self-Healing Polymer-Modified Bitumens by Evaluating the Suitability of Current Failure Definition, Failure Criterion, and Fatigue-Restoration Criteria
Performance Assessment of Self-Healing Polymer-Modified Bitumens by Evaluating the Suitability of Current Failure Definition, Failure Criterion, and Fatigue-Restoration Criteria Open
Fatigue cracking is a common form of flexible pavement distress, which generally starts and spreads through bitumen. To address this issue, self-healing elastomer (SHE) modified bitumens were elaborated to assess whether these novel materi…
View article: Mechanical Properties and Micro Mechanism of Early Strength Cement-Stabilized Macadam Under Variable Temperature Environment
Mechanical Properties and Micro Mechanism of Early Strength Cement-Stabilized Macadam Under Variable Temperature Environment Open
View article: Geometrically nonlinear vibration of The Vierendeel Sandwich Plate
Geometrically nonlinear vibration of The Vierendeel Sandwich Plate Open
The fourth-order geometrically nonlinear partial differential equations of motion for the Vierendeel Sandwich Plate with five generalized displacements are established considering the second-order nonlinear variables in the displacement co…
View article: The Turán number of the Cartesian product of graphs
The Turán number of the Cartesian product of graphs Open
Recently, Domagoj Bradač, Oliver Janzer, Benny Sudakov and István Tomon have proved that the Turán number of $2$-dimensional grids is $Θ(n^{3/2})$, or more general, $\mathrm{ex}\left(n,T\square{P}\right)=Θ(n^{3/2})$, where $T$ is a non-tri…