Replicating cohesive and stress-history-dependent behavior of bulk solids: Feasibility and definiteness in DEM calibration procedure
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DOI: 10.1016/j.apt.2021.02.044
Abstract: Abstract This paper presents a multi-step DEM calibration procedure for cohesive solid materials, incorporating feasibility in finding a non-empty solution space and definiteness in capturing bulk responses independently of calibration targets. Our procedure follows four… read more here.
Keywords: calibration; feasibility; definiteness; bulk ... See more keywords
Positive definiteness and the Stolarsky invariance principle
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DOI: 10.1016/j.jmaa.2022.126220
Abstract: In this paper we elaborate on the interplay between energy optimization, positive definiteness, and discrepancy. In particular, assuming the existence of a K-invariant measure μ with full support, we show that conditional positive definiteness of… read more here.
Keywords: energy; positive definiteness; definiteness; stolarsky invariance ... See more keywords
Conditional positive definiteness as a bridge between k–hyponormality and n–contractivity
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DOI: 10.1016/j.laa.2021.05.004
Abstract: Abstract For sequences α ≡ { α n } n = 0 ∞ of positive real numbers, called weights, we study the weighted shift operators W α having the property of moment infinite divisibility (… read more here.
Keywords: definiteness; bridge hyponormality; hyponormality; hyponormality contractivity ... See more keywords
M-positive semi-definiteness and M-positive definiteness of fourth-order partially symmetric Cauchy tensors
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DOI: 10.1186/s13660-019-1986-x
Abstract: Inspired by symmetric Cauchy tensors, we define fourth-order partially symmetric Cauchy tensors with their generating vectors. In this article, we focus on the necessary and sufficient conditions for the M-positive semi-definiteness and M-positive definiteness of… read more here.
Keywords: order cauchy; cauchy tensors; cauchy; definiteness ... See more keywords