Publication detail
A New Method of how to Determine Elastic Constants in Tension and Compression by Four-Point Bending
JANÍČEK, P.
English title
A New Method of how to Determine Elastic Constants in Tension and Compression by Four-Point Bending
Type
journal article - other
Language
en
Original abstract
The paper describes deductions of analytical formulas for an experimental method based on four-point bending. This would enable us to determine constitutive material characteristics for a concrete material in tension and in compression. Determination of characteristics is an identification problem with experimentally measured values of extreme tensile and compressive strains used as inputs in the solution algorithm of the inverse problem. This algorithm enables us to determine moduli of elasticity from the measured strains, assuming that the data on beam geometry and load are known. Accordingly, the core of the problem is an identification of material characteristics. For the direct problem, the formulas evaluating strains, stresses, and deflections of the beam (made of a material with different moduli of elasticity in tension and in compression) are derived in this paper. Finally, the results of the direct problem are used to deduce the formulas determining moduli of elasticity.
English abstract
The paper describes deductions of analytical formulas for an experimental method based on four-point bending. This would enable us to determine constitutive material characteristics for a concrete material in tension and in compression. Determination of characteristics is an identification problem with experimentally measured values of extreme tensile and compressive strains used as inputs in the solution algorithm of the inverse problem. This algorithm enables us to determine moduli of elasticity from the measured strains, assuming that the data on beam geometry and load are known. Accordingly, the core of the problem is an identification of material characteristics. For the direct problem, the formulas evaluating strains, stresses, and deflections of the beam (made of a material with different moduli of elasticity in tension and in compression) are derived in this paper. Finally, the results of the direct problem are used to deduce the formulas determining moduli of elasticity.
Keywords in English
material characteristics identification, moduli of elasticity in tension and in compression, four-point bending
RIV year
2003
Released
01.01.2003
ISSN
1210-2717
Journal
Inženýrská mechanika - Engineering Mechanics
Volume
10
Number
1
Pages count
11
BIBTEX
@article{BUT41881,
author="Přemysl {Janíček},
title="A New Method of how to Determine Elastic Constants in Tension and Compression by Four-Point Bending",
journal="Inženýrská mechanika - Engineering Mechanics",
year="2003",
volume="10",
number="1",
month="January",
issn="1210-2717"
}