finite element method

NONLINEAR MODELING AND ANALYSIS OF DAMAGED REINFORCED CONCRETE BEAMS USING ANSYS AND LIRA-SAPR SOFTWARE PACKAGES

This article presents a comparative analysis of the nonlinear behavior of a reinforced concrete beam with damaged reinforcement in the tension zone under a gradually increasing load until failure. The experimental beam, measuring 2100 mm × 200 mm × 100 mm, consists of a 20 mm diameter rebar in the tension zone, two 6 mm diameter rebars in the compression zone, and 6 mm diameter stirrups spaced 75 mm apart for transverse reinforcement. Nonlinear calculations were performed using ANSYS and LIRA-SAPR, with identical initial conditions applied to both models for accurate comparison.

Numerical studies of a Timoshenko system with the second sound

Timoshenko's problem is not a recent problem and many articles exist concerning his study.  New physical problems appear and require a good mathematical understanding of the behavior of this phenomenon.  Our contribution will consist in studying the numerical stability of a Timoshenko system with second sound.  We introduce a finite element approximation and prove that the associated discrete energy decreases and we establish a priori error estimates.  Finally, some numerical simulations are obtained.

STUDY OF THE CUTTING FORCE BASED ON THE OBTAINED UNDEFORMED CHIPS DURING CUT IN WHEN MACHINING AN INTERNAL GEAR BY POWER SKIVING METHOD

This article explores the formation of non-deformed chips during the cut-in of an internal toothed ring using the Power Skiving method. This pivotal stage of the cutting process poses significant hazards not only in gear cutting but also in any cutting operation. The study involved modeling the process at the initial stage for various technological parameters, including cut-in depth and number of working passes. To achieve non-deformed chips, a methodology developed for worm milling was applied.

Numerical approximation of the MGT system with Fourier's law

In this paper, we consider the Moore–Gibson–Thompson–Fourier system made by coupling the Moore–Gibson–Thompson (MGT) equation with the classical Fourier heat equation known as the MGT–Fourier model.  For $\sigma=\alpha\beta-\gamma>0$, the authors used the semi-group method to prove the existence and uniqueness of global solutions and the exponential stability of total energy.  Our contribution will consist in studying numerical method based on finite element discretization in the spacial variable $x$ and finite difference schema in time of the MGT–Fourier model.  A d

A parallel preconditioning Schur complement approach for large scale industrial problems

The purpose of this paper is to introduce a new strategy to improve the convergence and efficiency of the class of domain decomposition known as Schur complement techniques related to interface variables for the simulation of mechanical, electrical and thermal problems in presence of cross points.  More precisely, we are interested not only in domain decomposition with two equal parts having the same physical properties but rather in more general splitting components.  It is known that in the first case, the optimal convergence with good pre-conditioner is obtained in t

АNALYSIS OF SOFTWARE PACKAGES APPLYING IN THE INVESTIGATION OF THE DAMAGE EFFECT TO REINFORCED CONCRETE BEAMS ON STRENGTH AND DEFORMABILITY: THE REVIEW

Currently, on the world market, there are trends in the construction of a large number of monolithic and prefabricated reinforced concrete structures, and individual parts of these structures are operated with damage or defects, and the causes of these damages are quite diverse. In modern conditions, such work can be facilitated and analyzed in more detail with the help of specialized software, which can include all the necessary characteristics of material behavior and include existing defects or damage.

COMPARATIVE ANALYSIS OF CALCULATION METHODS OF CLT STRUCTURES

One of the important tasks of modern construction is the search for new constructive solutions and the introduction of new construction technologies. Cross-Laminated Timber (CLT) technology is a new material for Ukraine that has proven itself in Europe and America as effective and environmentally friendly with many advantages. Since CLT panels are not widely distributed, studied and do not contain references in the normative literature in Ukraine, the study of these structures is extremely relevant.

Алгоритмічне та програмне забезпечення системи моделювання та аналізу процесу сушіння капілярно-пористих матеріалів

Сформульовано математичну модель тепломасоперенесення та деформування капілярно-пористих матеріалів під час сушіння. У межах об’єктно-орієнтованого підходу розроб- лено алгоритмічне та програмне забезпечення для чисельної реалізації отриманої моделі.

In the article is formulated a mathematical model of heat and mass transfer and deformation of capillary-porous materials during drying. In the object-oriented approach developed algorithmic and software for numerical realization of the obtained model.

Автоматизована числова схема розв’язання крайових задач на основі h-адаптивного методу скінченних елементів

Досліджено питання розроблення та реалізації h -адаптивного обчислювального процесу на основі методу скінченних елементів, метою якого є автоматизація отримання розв’язку заданої точності. На прикладі модельної крайової задачі лінійної теорії пружності для дослідження пружного стану тіла L-подібної форми продемонстровано переваги та ефективність розробленого підходу.

Об‘єктно-орієнтована реалізація методу скінченних елементів для розрахунку в’язкопружного стану капілярно-пористих матеріалів

У межах об’єктно-орієнтованого підходу та UML розроблено програмне забезпечення для реалізації математичної моделі в’язкопружного деформування капілярно- пористих матеріалів з використанням методу скінченних елементів. Створене об‘єктно- орієнтоване програмне забезпечення складається зі задокументованих класів, які можуть повторно використовуватись для реалізації нових моделей.