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Materials and Structures

, Volume 21, Issue 1, pp 33–40 | Cite as

Mixed-mode fracture toughness testing of concrete beams in three-point bending

  • S. E. Swartz
  • L. W. Lu
  • L. D. Tang
Article

Abstract

Results obtained for mixed-mode fracture toughness parameters K c , G c , J c , G F (plane strain mixed-mode stress-intensity factor, energy release rate, J-integral and fracture energy, respectively) for small notched concrete beams in bending indicate that all these parameters decrease with x/S (x is the distance from support, S is the span) in general to values near midspan consistent with Mode I results. All the parameters except J c vary with notch depth in a similar manner for each notch location.

Keywords

Fracture Toughness Fracture Energy Energy Release Rate Crack Mouth Opening Displacement Notch Depth 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Nomenclature

a0,a

Notch depth, inclined crack length at failure

B, W, L, S

Width, depth, length, span of test beam

E, μ

Modulus of elasticity, Poisson's ratio

GI,Gc

Mode I, mixed-mode fracture energy release rates

GF

Fracture energy

Jc

Mixed-mode J-integral

KI

Mode I stress-intensity factor

KII

Mode II stress-intensity factor

KIII

Mode III stress-intensity factor

Kc

Mixed-mode stress-intensity factor

mg

Beam weight between supports

P

Beam load

x

Distance from beam support

α

Crack inclination angle with vertical

\(\bar \delta _0 \)

Load-point displacement at peak load

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References

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Copyright information

© RILEM 1988

Authors and Affiliations

  • S. E. Swartz
    • 1
  • L. W. Lu
    • 2
  • L. D. Tang
    • 3
  1. 1.Department of Civil EngineeringKansas State UniversityManhattanUSA
  2. 2.Department of Civil EngineeringEast-China Jiaotong UniversityJiangxiChina
  3. 3.Department of Agricultural Machinery EngineeringLuoyang Institute of TechnologyLuoyang, HenanChina

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