Transient Thermal Stresses in a Cladded Semi-Infinite Medium Containing an Underclad Crack

Choi, Hong‐Shik; Jin, Tae Eun; Lee, Kang Yong

doi:10.1080/01495739508946303

Cited by 7 publications

(3 citation statements)

References 19 publications

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“…The study of a cracked elastic plate subjected to thermal stresses due to surface cooling and heating have been considered (Nied, 1983(Nied, , 1987Lam et al, 1992;Fan and Yu, 1992;Rizk, 1993;Rizk and Radwan, 1993;Rizk, 2004Rizk, , 2005. Crack problems in multi-layered materials under thermal loading have also been investigated by many researchers (Rizk and Erdogan, 1989;Erdogan and Rizk, 1992;Itou and Rengen, 1993;Choi et al, 1995Choi et al, , 1998Ikeda and Sun, 2001;Choi, 2003;Itou, 2004;Rizk, 2008).…”

Section: Introductionmentioning

confidence: 98%

Edge-cracked bimaterial systems under thermal heating

Rizk

Hrairi

2009

International Journal of Solids and Structures

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a b s t r a c tThe problem of thermoelastic edge-cracking in two-layered bimaterial systems subjected to convective heating is considered. The medium is assumed to be insulated on one surface and exposed to sudden convective heating on another surface containing the edge crack. It is known that, when a bimaterial system's surface is heated, compressive stresses arise near the heating surface, forcing the crack surfaces together over a certain cusp-shaped contact length. It is also known that, for a cooled bimaterial systems surface, tensile stresses take place close to the cooling surface and tend to open the crack. So, the edge cracked heating surface problem is treated as an embedded crack with a smooth closure condition of the crack surfaces, with the crack contact length being an additional unknown variable. Superposition and uncoupled quasi-static thermoelasticity principles are adopted to formulate the problem. By using a Fourier integral transform technique, the mixed boundary value problem is reduced to a Cauchy type singular integral equation with an unknown function as the derivative of the crack surface displacement. The numerical results of the stress intensity factors for an edge crack and a crack terminating at the interface, are calculated and presented as a function of time, crack length, heat transfer coefficient, and thickness ratio for two different bimaterial systems, namely a stainless steel layer welded on ferritic steel and a ceramic layer coating on ferritic steel.

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Section: Introductionmentioning

confidence: 98%

Edge-cracked bimaterial systems under thermal heating

Rizk

Hrairi

2009

International Journal of Solids and Structures

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“…The crack problems in an elastic plate under thermal loading have been investigated by many researchers [1][2][3][4][5][6][7]. The investigation of multi-layered cracked problems under thermal loading has also been considered in the literature [8][9][10][11][12][13][14][15]. The crack problem for a coated layer bonded to substrate under thermal stresses was discussed in [8].…”

Section: Introductionmentioning

confidence: 99%

“…The problem of coated plates on an elastic foundation and shells under thermal shock was investigated in [9]. The problem of two parallel cracks in two bonded dissimilar elastic half-planes was considered in [10].The transient thermal stress problem for a cladded medium containing an underclad crack bonded to a substrate via transitional layer was analyzed in [11]. The problem of collinear embedded cracks in a layered medium consisting of a surface layer and a semi-infinite substrate bonded through an interfacial zone with graded properties was examined [12].…”

Section: Introductionmentioning

confidence: 99%

Three- Layered Elastic Composite With Surface Cracks Subjected to Convective Cooling

Rizk

2008

The International Conference on Applied Mechanics and Mechanica

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The Thermoelastic problem for homogenous layer bonded to two similar coated layers with two surface cracks located symmetrically in the outer layers under transient thermal stresses is considered. The transient thermal stresses are generated due to quenching the surfaces containing the edge crack by convective cooling. Consequently, very high tensile stresses developed near the cooled surfaces resulting in severe damage. The analysis of the problem is worked out using the superposition technique and the principle of quasi-static thermoelasticity behavior. The Fourier integral transform technique is used to solve the crack problem resulting in a singular integral equation of Cauchy type with the derivative of the crack surface displacement as unknown function which is solved numerically. Some numerical values of the transient stress intensity factors for two material combinations are obtained for both edge crack and crack terminating at the interface and demonstrated in terms of time, crack length, coefficient of heat transfer and thickness ratio.

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Methodology of Investigations of the Thermal Stressed State of Bodies with Thin Multilayer Coatings

Shevchuk

2024

J Math Sci

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Transient Thermal Stresses in a Cladded Semi-Infinite Medium Containing an Underclad Crack

Cited by 7 publications

References 19 publications

Edge-cracked bimaterial systems under thermal heating

Edge-cracked bimaterial systems under thermal heating

Three- Layered Elastic Composite With Surface Cracks Subjected to Convective Cooling

Methodology of Investigations of the Thermal Stressed State of Bodies with Thin Multilayer Coatings

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