Search results for "integral"

Fatigue Design of Cruciform Joints including V-notch Effect at the Weld Toe

2014

Abstract The present paper proposes a new and more accurate fatigue life prediction model for fillet welded joints in steel subjected to constant amplitude loading. With the traditional fracture mechanics approach, the greatest difficulty when computing the fatigue life of a welded detail is to determine the initial crack size a0. The classical way to determine the stress intensity factor K (SIF) is by using the following formula Where σ is the applied stress, a is the crack size and g(a/T) the geometrical correction factor which has been determined by Gurney function or similar solutions. This approach is not accurate for short crack because of the singular V-notch behaviour close to the c…

Simple Facts Concerning Nambu Algebras

1998

A class of substitution equations arising in the extension of Jacobi identity for $n$-gebras is studied and solved. Graded bracket and cohomology adapted to the study of formal deformations are presented. New identities in the case of Nambu-Lie algebras are proved. The triviality in the Gerstenhaber sense of certain deformed n-skew-symmetric brackets, satisfying the Leibniz rule with respect to a star-product, is shown for n≥ 3.

MR2865796 Riecan, Beloslav; Tkacik, Štefan A note on the Kluvánek integral. Tatra Mt. Math. Publ. 49 (2011), 59--65

2011

On strongly measurable Kurzweil-Henstock type integrable functions

2009

We consider the integrability, with respect to the scalar Kurzweil-Henstock integral, the Kurzweil-Henstock-Pettis integral and the variational Henstock integral, of strongly measurable functions de ned as f = P1 n=1 xn [n;n+1),where (xn) belongs to a Banach space. Examples which indicate the difference between the scalar Henstock-Kurzweil integral and the Henstock- Kurzweil-Pettis integral and between the variational Henstock integral and the Henstock-Kurzweil-Pettis integral are given.

A characterization of strongly measurable Henstock-Kurzweil integrable functions and weakly continuous operators

2008

We give necessary and sufficient conditions for the Kurzweil–Henstock integrability of functions given by f =n=1 xnχEn , where xn belong to a Banach space and the sets (En)n are measurable and pairwise disjoint. Also weakly completely continuous operators between Banach spaces are characterized by means of scalarly Kurzweil–Henstock integrable functions

A simple algorithm for retrieval of the optical thickness at L-band from SMOS data

2012

Vegetation indices are indicators for analyzing the properties of vegetation. The Normalized Difference Vegetation Index (NDVI) from optical remote sensing data is one of the most commonly used vegetation indices, which can exhibit the ecological characteristics of leafy materials, but lacks the ability to directly provide information on the woody materials. In this paper, we developed Microwave Vegetation Indices (MVIs) from the L-band Soil Moisture and Ocean Salinity (SMOS) data, which is an effective means to detect the information of branches and trunks. The theory of MVIs is derived from the tau-omega model. To minimize the influence from the uncertain soil surface radiation, a paramet…

A novel boundary element formulation for anisotropic fracture mechanics

2019

Abstract A novel boundary element formulation for two-dimensional fracture mechanics is presented in this work. The formulation is based on the derivation of a supplementary boundary integral equation to be used in combination with the classic displacement boundary integral equation to solve anisotropic fracture mechanics problems via a single-region approach. The formulation is built starting from the observation that the displacement field for an anisotropic domain can be represented as the superposition of a vector field, whose components satisfy a suitably defined anisotropic Laplace equation, and the gradient of the Airy stress function. The supplementary boundary integral equation is …

Efficient and accurate computation of Green's function for the Poisson equation in rectangular waveguides

2009

[1] In this paper, a new algorithm for the fast and precise computation of Green's function for the 2-D Poisson equation in rectangular waveguides is presented. For this purpose, Green's function is written in terms of Jacobian elliptic functions involving complex arguments. A new algorithm for the fast and accurate evaluation of such Green's function is detailed. The main benefit of this algorithm is successfully shown within the frame of the Boundary Integral Resonant Mode Expansion method, where a substantial reduction of the computational effort related to the evaluation of the cited Green's function is obtained.

HENSTOCK INTEGRAL AND DINI-RIEMANN THEOREM

2009

In [5] an analogue of the classical Dini-Riemann theorem related to non-absolutely convergent series of real number is obtained for the Lebesgue improper integral. Here we are extending it to the case of the Henstock integral.

A Riemann-Type Integral on a Measure Space

2005

In a compact Hausdorff measure space we define an integral by partitions of the unity and prove that it is nonabsolutely convergent.