PSI - Issue 54

8

Author name / Structural Integrity Procedia 00 (2019) 000 – 000

Francisco Q. de Melo et al. / Procedia Structural Integrity 54 (2024) 585–592

592

Effective value for 22 (having removed to “no - crack” rotation):

22 = 12 [ 2ℎ− ℎ 2 (ℎ− ) 2 ] − 24 ℎ 3 ⏟

(18)

4. Conclusions The main objective of this work consisted in using a classical and practical tool in problems of structural analysis, where it was necessary to evaluate the displacements over any direction under external force systems. The geometry of the structural component investigated in this work consisted of a rectangular thin plate with in-plane (membrane) and out-of-plane (bending) mechanical resisting capability. Despite the quite simple geometry, the presence of a lateral crack normal to one edge renders the problem analyzable only by special singular deformation functions. The implementation of the concept of SDZ converted the structural component into an equivalent one, where simple analytical tools could lead to a good approach of compliance factors for specific forces associated with the concept of the Line Spring Model. An experimental procedure, the DIC method, has shown with accuracy that the presence a SDZ area in a cracked component was a fact, this enabling a reliable and accurate simplification method in the evaluation of compliance factors for the Line Spring Model. Acknowledgements The authors wish to thank the support of this work to Project “PRODUTECH R3 - Mobilizing Agenda for the Production Technologies Sector for Reindustrialization”, nr C645808870 -00000067, investment project nº 60, financed by the Recovery and Resilience Plan (PRR) and by European Union – Next Generation EU. References Delale, F, and F %J International Journal of Engineering Science Erdogan. 1981. 'Line-spring model for surface cracks in a Reissner plate', 19: 1331-40. Gere, James, and Barry Goodno. 2016. Mechanics of Materials (CENGAGE Learning Custom Publishing: Mason, OH). Gross, Bernard, and John E Srawley. 1965. Stress-intensity factors for single-edge-notch specimens in bending or combined bending and tension by boundary collocation of a stress function (National Aeronautics and Space Administration). Kumar, V, MD German, and BI Schumacher. 1985. 'Analysis of elastic surface cracks in cylinders using the line-spring model and shell finite element method'. Langre, E de, L %J Fatigue Ebersolt, Fracture of Engineering Materials, and Structures. 1987. 'THE USE OF A NEW LINE‐SPRING S HELL ELEMENT FOR ELASTIC SURFACE CRACK ANALYSIS', 10: 153-67. Lee, Hyungyil, and David M %J Parks. 1995. 'Enhanced elastic-plastic line-spring finite element', International journal of solids structures , 32: 2393-418. Lee, Hyungyil, and David M %J Parks. 1998. 'Line-spring finite element for fully plastic crack growth — II. Surface-cracked plates and pipes', International journal of solids structures , 35: 5139-58. Miyoshi, T, M Shiratori, and Y Yoshida. 1986. 'Analysis of J-integral and crack growth for surface cracks by line spring method'. Mohr, Otto. 1914. Abhandlungen aus dem Gebiete der technischen Mechanik (W. Ernst & Sohn). Newman, JC. 1984. Stress-intensity factor equations for cracks in three-dimensional finite bodies subjected to tension and bending loads (Langley Research Center, National Aeronautics and Space Administration). Newman Jr, JC, and IS Raju. 1981. "Stress-intensity factor equations for cracks in three-dimensional finite bodies." In ASTM Natl. Symp. on Fracture Mech. Oliveira, Carlos AM, Francisco JMQ de Melo, and Paulo MST %J Engineering fracture mechanics de Castro. 1991. 'The elastic analysis of arbitrary thin shells having part-through cracks, using the integrated line spring and the semiloof shell elements', 39: 1027-35. Rice, James R, and Nouri Levy. 1972. 'The part-through surface crack in an elastic plate'. Timoshenko, Stephen. 1983. History of strength of materials: with a brief account of the history of theory of elasticity and theory of structures (Courier Corporation). Zeng, Zhao-Jing, Shu-Ho %J International journal of pressure vessels Dai, and piping. 1993. 'Analysis of fracture mechanics parameters for a surface cracked plate using a nonlinear line-spring boundary element method', 53: 325-34.