Results 41 to 50 of about 7,891,501 (248)

Microscale Mapping of Fiber Strain and Damage in Composite Wrinkled Laminates Using Computed Tomography Assisted Wide‐Angle X‐Ray Scattering

Advanced Science, EarlyView.
This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong, James Trevarthen, Igor Dolbnya, Wadwan Singhapong, Nicholas Pilato, Richard Butler, Jiraphant Srisuriyachot, Alexander J. G. Lunt   +7 more
wiley   +1 more source

On the numerical evaluation of certain 2-D singular integrals

Journal of Numerical Analysis and Approximation Theory, 2000
The problem of approximating certain two-dimensional Cauchy principal value integrals is here considered, product integration formulas with multiple nodes are presented and the behaviour of the remainder is analyzed.
Laura Gori, Laura Lo Cascio, Elisabetta Santi   +2 more
doaj   +2 more sources

The numerical evaluation of cauchy principal values of integrals by Romberg integration

Numerische Mathematik, 1973
The problem considered is that of evaluating numerically an integral of the form[Figure not available: see fulltext.] where the integrand has one or more simple poles in the interval (O,p). Modified forms of the trapezoidal and mid-ordinate rules, taking account of the singularities, are obtained; it is then shown that the resulting approximations can ...
openaire   +2 more sources

The superconvergence of the Newton–Cotes rule for Cauchy principal value integrals

Journal of Computational and Applied Mathematics, 2010
The authors study the superconvergence phenomenon for the Newton-Cotes quadrature rule for Cauchy principal values integrals. Necessary and sufficient conditions satisfied by the superconvergence point, the given superconvergence estimate and properties of the superconvergence points are investigated. Numerical examples are given.
Dongjie Liu, Jiming Wu, Dehao Yu
openaire   +3 more sources

Iron‐Mediated Release of Aged Dissolved Organic Carbon From Waterlogged Peatland Under Warming

Advanced Science, EarlyView.
This study conducts a five‐year in situ warming experiment in high‐altitude peatlands to examine dissolved organic carbon (DOC) release. The study shows that warming promotes the release of plant‐derived modern DOC in drained peatlands, but amplifies aquatic export of century‐old DOC from waterlogged peatlands via Fe‐mediated DOC mobilization—a ...
Guohua Dai, Zhiying Yang, Zongguang Liu, Wanjia Hu, Lixiao Ma, Enze Kang, Wanqing Luo, Yunpeng Zhao, Chengzhu Liu, Juan Jia, Ting Liu, Chen He, Quan Shi, Jianliang Liu, Yongheng Gao, Huai Chen, Hailong Zhang, Meixun Zhao, Xiaojuan Feng   +18 more
wiley   +1 more source

Gauss type quadrature rules for Cauchy principal value integrals

, 1979
Two quadrature rules for the approximate evaluation of Cauchy principal value integrals, with nodes at the zeros of appropriate orthogonal polynomials, are discussed.
D. F. Paget, David Elliott
core   +1 more source

Sustainable Materials Design With Multi‐Modal Artificial Intelligence

Advanced Science, EarlyView.
Critical mineral scarcity, high embodied carbon, and persistent pollution from materials processing intensify the need for sustainable materials design. This review frames the problem as multi‐objective optimization under heterogeneous, high‐dimensional evidence and highlights multi‐modal AI as an enabling pathway.
Tianyi Xu, Tianshuo Wei, Yan Ge, Bo Peng, Yue Li, Maolin Wang, Peng Wen, Chao Yang, Ye Wei   +8 more
wiley   +1 more source

Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]

, 2009
A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
core   +1 more source

Efficient Polarization‐Entangled Photon‐Pair Generation by a Fiber‐In‐Line van der Waals Material

Advanced Science, EarlyView.
Telecom‐wavelength polarization‐entangled photon pairs are generated in a van der Waals‐material‐integrated all‐fiber device via spontaneous parametric down‐conversion. The demonstrated fiberized quantum light source bridges emerging 2D nonlinear materials and practical quantum photonic systems, opening new opportunities for scalable fiber‐based ...
Jungseok Choi, Seongju Ha, Seungjae Lim, Joohyeon Ahn, Jaekyoung Kim, Jong Hyuk Yim, Nam Hun Park, Youngdong Yoo, Jae‐Ung Lee, Hee Su Park, Sang Min Lee, Dong‐Il Yeom   +11 more
wiley   +1 more source

The Cauchy principal value and the Hadamard finite part integral as values of absolutely convergent integrals [PDF]

Journal of Mathematical Physics, 2016
The divergent integral ∫abf(x)(x−x0)−n−1dx, for −∞ < a < x0 < b < ∞ and n = 0, 1, 2, …, is assigned, under certain conditions, the value equal to the simple average of the contour integrals ∫C±f(z)(z − x0)−n−1dz, where C+ (C−) is a path that starts from a and ends at b and which passes above (below) the pole at x0.
openaire   +2 more sources