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"
}