The infinite sheet with two radial cracks from cylindrical hole under inclined tension or in-plane shear

Hsu, Y. C.

doi:10.1007/bf00034326

Cited by 16 publications

(15 citation statements)

References 4 publications

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“…The test result for the crack of maximal length was used to calculate d i for each material by (13), (16), (21). Plots for the three considered criteria, whose parameters are obtained by experiments on the different composites, are shown in Fig.4-8 together with the corresponding experimental points.…”

Section: Predicted Results and Comparison With Experimental Datamentioning

confidence: 99%

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A comparative analysis of several nonlocal fracture criteria

Isupov

Mikhailov

1998

Archive of Applied Mechanics (Ingenieur Archiv)

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Summary Comparative analysis was carried out for three non-local fracture criteria (NLFC) in application to plane problems: the average stress fracture criterion (ASFC), the minimum stress fracture criterion (MSFC) and the fictitious crack fracture criterion (FCFC). Each of them may be considered as a particular form of the general non-local strength functional. All the criteria contain two material parameters: a characteristic length and the tensile strength (ASFC and MSFC) or the critical stress intensity factor (FCFC).These criteria were used for a strength description of a plate containing a smooth stress concentrator (circular hole) or a singular stress concentrator (central straight crack). It was ascertained that ASFC and FCFC lead to identical results for the symmetrically loaded central straight crack. ASFC and MSFC may be successfully used for the description of strength of the bodies with smooth as well as singular concentrators while the FCFC gives incorrect predictions for large smooth concentrators and for some other cases. Comparison of predicted and experimental data has shown that ASFC is preferable in most cases but nevertheless there exists a systematic deviation of experimental points from the criterion predictions.

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Section: Predicted Results and Comparison With Experimental Datamentioning

confidence: 99%

“…A linear elastic solution for the concentrator of such a form was obtained by Hsu [15,16]. This solution gives the following expression for the stress intensity factor,…”

Section: Fictitious Crack Fracture Criterion (Fcfc)mentioning

confidence: 99%

A comparative analysis of several nonlocal fracture criteria

Isupov

Mikhailov

1998

Archive of Applied Mechanics (Ingenieur Archiv)

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“…(c) Theoretical strength of a layer of 3YSZ containing a single cylindrical hole with a radius r and two symmetric radial cracks of length a emanating from it. The strength is given in relation to the average strength of non‐perforated 3YSZ according to the manufacturer (1 100 MPa) and was calculated according to Hsu . A fracture toughness of 5 MPa√m was also taken from the technical data sheet…”

Section: Mechanical Propertiesmentioning

confidence: 99%

“…Nevertheless, the measured values are astonishingly well matching with theoretical calculations for the laser‐perforated single strip. Taking values for the geometrical function f ( r , a ) from tables by Hsu and Nilson and Proffer and the fracture toughness K Ic = 5 MPa√m from the technical data sheet, the strength σ LP‐YSZ of a layer of LP‐YSZ containing a single cylindrical hole with two symmetric wedge‐shaped cracks can be calculated from the following:

K_{I c} = σ_{L P - Y S Z} \cdot f true(r, a true) \cdot \sqrt{π a}

…”

Section: Mechanical Improvement By Tailored Defectsmentioning

confidence: 99%

Tailoring Toughness and Mechanical Reliability by Controlled Defects: Nature‐Inspired Composite Laminates of Laser‐Perforated Yttria‐Stabilized Zirconia

2016

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In general, strong materials also tend to be stiff but rarely tough. The other way around, tough materials are hardly particularly strong. [1] When it comes to materials that are simultaneously strong, stiff, and tough, nature provides outstanding examples, especially with respect to its limited availability of constituents, e.g., the unavailability of elemental metals. Examples that have seen a lot of attention in the last few years are tooth enamel, sponge spicules, and nacre, mother-of-pearl. These materials consist of a high content of parallel or concentrically aligned hard and stiff mineral phase that is surrounded by thin layers of bio-polymers like polysaccharides or proteins. [2][3][4][5][6][7][8] Mechanically, those layers of biopolymers both act as an adhesive to provide structural integrity and provide weak interfaces that allow for failure mechanisms like debonding, crack deflection, and pullout. [2,3,[7][8][9][10][11][12][13][14][15] The latter in turn consume large amounts of energy upon fracture and the right balance between strong adhesion for strength and stiffness on one hand and weak adhesion for energy dissipation during fracture on the other is one of the key features natural and synthetic materials possess to be simultaneously strong, stiff, and tough. [16][17][18] Analyzing such natural materials with respect to models for layered composite materials like those provided by Voigt, [19] Reuss, [20] Padawer and Beecher, [21] Gao et al., [22] or Begley et al., [23] one reaches the conclusion that for stiffest and strongest results, mineral and polymer need to be arranged strictly parallel to each other and to any applied load. This way, the mineral phase limits deformation and takes most of the applied load, thus defining stiffness and strength of a composite. [18,24] Regarding load bearing [*] Prof.

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“…A linear elastic solution for a concentrator of this form was obtained by Hsu [12,13]. This solution for the stress intensity factor may be represented in the form…”

Section: 00mentioning

confidence: 99%

Nonlocal fracture criteria: Comparative analysis and application to laminated composites

Isupov¹

1998

Mech Compos Mater

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The infinite sheet with two radial cracks from cylindrical hole under inclined tension or in-plane shear

Cited by 16 publications

References 4 publications

A comparative analysis of several nonlocal fracture criteria

A comparative analysis of several nonlocal fracture criteria

Tailoring Toughness and Mechanical Reliability by Controlled Defects: Nature‐Inspired Composite Laminates of Laser‐Perforated Yttria‐Stabilized Zirconia

Nonlocal fracture criteria: Comparative analysis and application to laminated composites

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