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Mathematical and Computational Applications, Volume 28, Issue 4

August 2023 - 14 articles

Cover Story: To determine buckling loads in cracked Euler–Bernoulli columns within a Winkler elastic medium, the utilized beam can be modelled as two continuous segments connected by a massless rotational spring at the cracked section, whose rotation discontinuity is proportional to the bending moment transmitted through this section. By solving the differential equations for the buckling behavior by considering the corresponding boundary conditions, as well as compatibility and jump conditions at the cracked section, the buckling load is calculated. These loads vary as a function of the support type, soil stiffness, crack position, and initial crack length. Comparison with existing partial approaches highlights the interaction between the parameters on the buckling loads. View this paper
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Articles (14)

  • Feature Paper
  • Article
  • Open Access
10 Citations
4,030 Views
37 Pages

FE2 Computations with Deep Neural Networks: Algorithmic Structure, Data Generation, and Implementation

  • Hamidreza Eivazi,
  • Jendrik-Alexander Tröger,
  • Stefan Wittek,
  • Stefan Hartmann and
  • Andreas Rausch

Multiscale FE2 computations enable the consideration of the micro-mechanical material structure in macroscopical simulations. However, these computations are very time-consuming because of numerous evaluations of a representative volume element, whic...

  • Article
  • Open Access
3 Citations
3,566 Views
16 Pages

A cerebral aneurysm is a medical condition where a cerebral artery can burst under adverse pressure conditions. A 20% mortality rate and additional 30 to 40% morbidity rate have been reported for patients suffering from the rupture of aneurysms. In a...

  • Article
  • Open Access
3 Citations
2,036 Views
17 Pages

Burn injuries are very common due to heat, accidents, and fire. Split-thickness skin grafting technique is majorly used to recover the burn sites. In this technique, the complete epidermis and partial dermis layer of the skin are used to make grafts....

  • Article
  • Open Access
3 Citations
3,277 Views
19 Pages

The main objective of this study is to find out the influences of cooperation and intra-specific competition in the prey population on escaping predation through refuge and the effect of the two intra-specific interactions on the dynamics of prey–pre...

  • Article
  • Open Access
3 Citations
2,319 Views
13 Pages

Buckling of Cracked Euler–Bernoulli Columns Embedded in a Winkler Elastic Medium

  • José Antonio Loya,
  • Carlos Santiuste,
  • Josué Aranda-Ruiz and
  • Ramón Zaera

This work analyses the buckling behaviour of cracked Euler–Bernoulli columns immersed in a Winkler elastic medium, obtaining their buckling loads. For this purpose, the beam is modelled as two segments connected in the cracked section by a mass...

  • Article
  • Open Access
1 Citations
1,910 Views
13 Pages

The negative multinomial distribution appears in many areas of applications such as polarimetric image processing and the analysis of longitudinal count data. In previous studies, general formulas for the falling factorial moments and cumulants of th...

  • Article
  • Open Access
1 Citations
1,697 Views
22 Pages

Exploration of solar irradiance can greatly assist in understanding how renewable energy can be better harnessed. It helps in establishing the solar irradiance climate in a particular region for effective and efficient harvesting of solar energy. Und...

  • Article
  • Open Access
4 Citations
2,532 Views
18 Pages

Thermal–Structural Linear Static Analysis of Functionally Graded Beams Using Reddy Beam Theory

  • Carlos Enrique Valencia Murillo,
  • Miguel Ernesto Gutierrez Rivera and
  • Luis David Celaya Garcia

In this work, a finite element model to perform the thermal–structural analysis of beams made of functionally graded material (FGM) is presented. The formulation is based on the third-order shear deformation theory. The constituents of the FGM...

  • Article
  • Open Access
34 Citations
3,723 Views
19 Pages

A New Sine Family of Generalized Distributions: Statistical Inference with Applications

  • SidAhmed Benchiha,
  • Laxmi Prasad Sapkota,
  • Aned Al Mutairi,
  • Vijay Kumar,
  • Rana H. Khashab,
  • Ahmed M. Gemeay,
  • Mohammed Elgarhy and
  • Said G. Nassr

In this article, we extensively study a family of distributions using the trigonometric function. We add an extra parameter to the sine transformation family and name it the alpha-sine-G family of distributions. Some important functional forms and pr...

  • Feature Paper
  • Article
  • Open Access
2 Citations
2,742 Views
27 Pages

This study investigates the strain and stress states in an aluminum single lap joint bonded with a functionally graded Al2O3 micro particle reinforced adhesive layer subjected to a uniform temperature field. Navier equations of elasticity theory were...

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Math. Comput. Appl. - ISSN 2297-8747