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2022 | OriginalPaper | Chapter

6. The Method of Caustics

Author : Emmanuel E. Gdoutos

Published in: Experimental Mechanics

Publisher: Springer International Publishing

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Abstract

The method of caustics is a simple optical method mainly used for the determination of stress intensity factors in crack problems under static and dynamic loading. Together with the method of geometric moiré, they are the only two optical methods of experimental mechanics included in this book that are based on geometric optics and not on the phenomena of interference or diffraction of light, as the other optical methods. Besides crack problems, the method can also be used to obtain optical patterns from reflecting surfaces.

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Literature
1.
go back to reference Manogg P (1964) Anwendung der Schattenoptic zur Untersuchung des Zerreissvorgangs von Platten, Dissertation, Freiburg, Germany Manogg P (1964) Anwendung der Schattenoptic zur Untersuchung des Zerreissvorgangs von Platten, Dissertation, Freiburg, Germany
2.
3.
go back to reference Levi N, Marcal PV, Rice JR (1971) Progress in three-dimensional elastic-plastic stress analysis for fracture mechanics. Nucl Eng Des 17:64–75CrossRef Levi N, Marcal PV, Rice JR (1971) Progress in three-dimensional elastic-plastic stress analysis for fracture mechanics. Nucl Eng Des 17:64–75CrossRef
4.
go back to reference Rosakis AJ, Ravi-Chandar K (1986) On crack tip Stress State - An experimental evaluation of three-dimensional effects. Int J Sol Struct 22:121–134CrossRef Rosakis AJ, Ravi-Chandar K (1986) On crack tip Stress State - An experimental evaluation of three-dimensional effects. Int J Sol Struct 22:121–134CrossRef
5.
go back to reference EI M, Huang W, Gdoutos EE (1991) A Study of the three-dimensional region at crack tips by the method of caustics Eng Fract Mech 39:875–885 EI M, Huang W, Gdoutos EE (1991) A Study of the three-dimensional region at crack tips by the method of caustics Eng Fract Mech 39:875–885
6.
go back to reference Konsta-Gdoutos M, Gdoutos EE, Meletis EI (1992) The state of stress at a crack tip studied by caustics. Proc VII Int Cong Exp Mech 1992:797–801 Konsta-Gdoutos M, Gdoutos EE, Meletis EI (1992) The state of stress at a crack tip studied by caustics. Proc VII Int Cong Exp Mech 1992:797–801
7.
go back to reference Konsta-Gdoutos M, Gdoutos EE (1992) Some remarks on caustics in mode-I stress intensity factor evaluation. Theor Appl Fract Mech 17:47–60CrossRef Konsta-Gdoutos M, Gdoutos EE (1992) Some remarks on caustics in mode-I stress intensity factor evaluation. Theor Appl Fract Mech 17:47–60CrossRef
8.
go back to reference Konsta-Gdoutos M, Gdoutos EE (1992) Guidelines for applying the method of caustics in crack problems. Exp Tech 16:25–28CrossRef Konsta-Gdoutos M, Gdoutos EE (1992) Guidelines for applying the method of caustics in crack problems. Exp Tech 16:25–28CrossRef
9.
go back to reference Konsta-Gdoutos M, Gdoutos EE (1992) Limit of applicability of the method of caustics in crack problems. Eng Fract Mech 42:251–263CrossRef Konsta-Gdoutos M, Gdoutos EE (1992) Limit of applicability of the method of caustics in crack problems. Eng Fract Mech 42:251–263CrossRef
10.
go back to reference Rosakis AJ (1993) Two optical techniques sensitive to gradients of optical path difference: the method of caustics and the coherent gradient sensor (CGS) In: Epstein JS (ed) VCH Publishers, pp 327–425 Rosakis AJ (1993) Two optical techniques sensitive to gradients of optical path difference: the method of caustics and the coherent gradient sensor (CGS) In: Epstein JS (ed) VCH Publishers, pp 327–425
11.
go back to reference Etheridge JM, Dally JW (1978) A three-parameter method for determining stress intensity factors from isochromatic fringe patterns J Strain Anal 13:91–94 Etheridge JM, Dally JW (1978) A three-parameter method for determining stress intensity factors from isochromatic fringe patterns J Strain Anal 13:91–94
12.
go back to reference Etheridge JM, Dally JW, Kobayashi T (1978) A new method of determining stress intensity factor K from isochromatic fringe loops. Eng Fract Mech 10:81–93CrossRef Etheridge JM, Dally JW, Kobayashi T (1978) A new method of determining stress intensity factor K from isochromatic fringe loops. Eng Fract Mech 10:81–93CrossRef
13.
go back to reference Creager M, Paris P (1967) Elastic field equation for blunt cracks with reference to stress corrosion cracking. Int J Fract Mech 3:247–252 Creager M, Paris P (1967) Elastic field equation for blunt cracks with reference to stress corrosion cracking. Int J Fract Mech 3:247–252
14.
go back to reference Theocaris PS (1970) Local yielding around a crack tip in plexiglas. J Appl Mech 92:409–415CrossRef Theocaris PS (1970) Local yielding around a crack tip in plexiglas. J Appl Mech 92:409–415CrossRef
15.
go back to reference Theocaris PS, Gdoutos EE (1972) An optical method for determining opening-mode and edge sliding-mode stress intensity factors. J Appl Mech 94:91–97CrossRef Theocaris PS, Gdoutos EE (1972) An optical method for determining opening-mode and edge sliding-mode stress intensity factors. J Appl Mech 94:91–97CrossRef
16.
go back to reference Theocaris PS (1972) Interaction between collinear asymmetric cracks. J Strain Anal 7:186–193CrossRef Theocaris PS (1972) Interaction between collinear asymmetric cracks. J Strain Anal 7:186–193CrossRef
17.
go back to reference Theocaris PS (1972) Stress intensity factors at bifurcated cracks. J Mech Phys Sol 20:265–279CrossRef Theocaris PS (1972) Stress intensity factors at bifurcated cracks. J Mech Phys Sol 20:265–279CrossRef
18.
go back to reference Theocaris PS, Gdoutos EE (1974) Verification of the validity of the Dugdale-Barenblatt model by the method of caustics. Eng Fract Mech 6:523–535CrossRef Theocaris PS, Gdoutos EE (1974) Verification of the validity of the Dugdale-Barenblatt model by the method of caustics. Eng Fract Mech 6:523–535CrossRef
19.
go back to reference Theocaris PS, Gdoutos EE (1974) The modified Dugdale-Barenblatt model adapted to various fracture configurations in metals. Int J Fract 10:549–564CrossRef Theocaris PS, Gdoutos EE (1974) The modified Dugdale-Barenblatt model adapted to various fracture configurations in metals. Int J Fract 10:549–564CrossRef
20.
go back to reference Theocaris PS (1976) Partly unbounded interfaces between dissimilar materials under normal and shear loading. Acta Mech 24:99–115MathSciNetCrossRef Theocaris PS (1976) Partly unbounded interfaces between dissimilar materials under normal and shear loading. Acta Mech 24:99–115MathSciNetCrossRef
21.
go back to reference Gdoutos EE, Aifantis EC (1986) The method of caustics in environmental cracking. Eng Fract Mech 23:423–430CrossRef Gdoutos EE, Aifantis EC (1986) The method of caustics in environmental cracking. Eng Fract Mech 23:423–430CrossRef
22.
go back to reference Katsamanis F, Raftopoulos D, Theocaris PS (1977) Static and dynamic stress intensity factors by the method of transmitted caustics. J Eng Mat 99:105–109 Katsamanis F, Raftopoulos D, Theocaris PS (1977) Static and dynamic stress intensity factors by the method of transmitted caustics. J Eng Mat 99:105–109
23.
go back to reference Kalthoff JF, Winkler S, Beinert J (1976) Dynamic stress intensity factors for arresting cracks in DCB specimens. Int J Fract 12:317–319CrossRef Kalthoff JF, Winkler S, Beinert J (1976) Dynamic stress intensity factors for arresting cracks in DCB specimens. Int J Fract 12:317–319CrossRef
24.
go back to reference Theocaris PS, Gdoutos EE (1976) Surface topography by caustics. Appl Optics 15:1629–1638 Theocaris PS, Gdoutos EE (1976) Surface topography by caustics. Appl Optics 15:1629–1638
25.
go back to reference Theocaris PS, Gdoutos EE (1977) Experimental solution of flexed plates by the method of caustics. J Appl Mech 44:107–111CrossRef Theocaris PS, Gdoutos EE (1977) Experimental solution of flexed plates by the method of caustics. J Appl Mech 44:107–111CrossRef
26.
go back to reference Theocaris PS (1991) Elastic stress intensity factors evaluated by caustics. In: Sih GC (ed) Mechanics of fracture vol 7. Experimental evaluation of stress concentration and intensity factors, Martinus Nijhoff, pp 189–252 Theocaris PS (1991) Elastic stress intensity factors evaluated by caustics. In: Sih GC (ed) Mechanics of fracture vol 7. Experimental evaluation of stress concentration and intensity factors, Martinus Nijhoff, pp 189–252
27.
go back to reference Kalthoff JF (1987) Shadow optical method of caustics. In: Kobayashi AS (ed) Handbook on experimental mechanics. Prentice Hall, Englewood Cliffs, pp 430–500 Kalthoff JF (1987) Shadow optical method of caustics. In: Kobayashi AS (ed) Handbook on experimental mechanics. Prentice Hall, Englewood Cliffs, pp 430–500
28.
go back to reference Gdoutos EE (2005) Fracture mechanics—an introduction, 3rd edn. Springer, Berlin Gdoutos EE (2005) Fracture mechanics—an introduction, 3rd edn. Springer, Berlin
29.
go back to reference Theocaris PS, Papadopoulos GA (1981) Stress intensity factors from reflected caustics in birefringent plates with cracks. J Strain Anal 16:29–36CrossRef Theocaris PS, Papadopoulos GA (1981) Stress intensity factors from reflected caustics in birefringent plates with cracks. J Strain Anal 16:29–36CrossRef
30.
go back to reference Dally JW (1979) Dynamic photoelastic studies of fracture. Exp Mech 19:349–361CrossRef Dally JW (1979) Dynamic photoelastic studies of fracture. Exp Mech 19:349–361CrossRef
31.
go back to reference Sanford RJ, Dally JW (1979) A general method for determining mixed mode stress intensity factors from isochromatic fringe patterns. J Eng Fract Mech 11:621–633CrossRef Sanford RJ, Dally JW (1979) A general method for determining mixed mode stress intensity factors from isochromatic fringe patterns. J Eng Fract Mech 11:621–633CrossRef
32.
go back to reference Creager M, Paris P (1967) Elastic field equation for blunt cracks with reference to stress corrosion cracking. Int J Fract Mech 3:247–252CrossRef Creager M, Paris P (1967) Elastic field equation for blunt cracks with reference to stress corrosion cracking. Int J Fract Mech 3:247–252CrossRef
33.
go back to reference Papadopoulos GA (1993) Fracture mechanics. The experimental method of caustics and the Det-criterion of fracture. Springer, Berlin Papadopoulos GA (1993) Fracture mechanics. The experimental method of caustics and the Det-criterion of fracture. Springer, Berlin
34.
go back to reference Lagarde A (1987) (ed) Static and dynamic photoelasticity and caustics. Recent developments. Springer, Berlin Lagarde A (1987) (ed) Static and dynamic photoelasticity and caustics. Recent developments. Springer, Berlin
35.
go back to reference Sridhar Krishnaswamy S (2000) Techniques for non-birefringent objects: Coherent shearing interferometry and caustics. In: Rastogi PK (ed) Photomechanics Topics Appl Phys 77. Springer, pp 295–321 Sridhar Krishnaswamy S (2000) Techniques for non-birefringent objects: Coherent shearing interferometry and caustics. In: Rastogi PK (ed) Photomechanics Topics Appl Phys 77. Springer, pp 295–321
36.
go back to reference Gdoutos EE (2016) The optical method of caustics. Opt Lasers Engng 79:68–77CrossRef Gdoutos EE (2016) The optical method of caustics. Opt Lasers Engng 79:68–77CrossRef
Metadata
Title
The Method of Caustics
Author
Emmanuel E. Gdoutos
Copyright Year
2022
DOI
https://doi.org/10.1007/978-3-030-89466-5_6

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