Closed Form Solution For A Semi-Infinite Crack Moving In An Infinite Orthotropic Material With A Circular Crack Breaker Under Antiplane Strain
ABSTRACT
This study investigates the
influence of a circular crack breaker on mode-III deformation behaviour of a
semi-infinite crack in a homogeneous, elastic orthotropic material subjected to
longitudinal shear loads. The Galilean transformation is employed to convert
the governing wave equation to Laplace’s equation which is time-independent,
rendering the problem amenable to analysis within the realm of the classical
theory of two-dimensional elasticity. By using conformal mapping and Mellin
integral transform methods , an analytic solution of the displacement is
obtained, leading to closed expression for mode III stress intensity factor,
K111. The asymptotic values of the fields are obtained and shown to depend on
the radius of the crack breaker. For a fixed loading interval, a crack breaker
of larger radius leads to increased stress intensity factor.
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EMENOGU, E (2023). Closed Form Solution For A Semi-Infinite Crack Moving In An Infinite Orthotropic Material With A Circular Crack Breaker Under Antiplane Strain. Repository.mouau.edu.ng: Retrieved Nov 23, 2024, from https://repository.mouau.edu.ng/work/view/closed-form-solution-for-a-semi-infinite-crack-moving-in-an-infinite-orthotropic-material-with-a-circular-crack-breaker-under-antiplane-strain-7-2
EMENOGU, EMENOGU. "Closed Form Solution For A Semi-Infinite Crack Moving In An Infinite Orthotropic Material With A Circular Crack Breaker Under Antiplane Strain" Repository.mouau.edu.ng. Repository.mouau.edu.ng, 13 Feb. 2023, https://repository.mouau.edu.ng/work/view/closed-form-solution-for-a-semi-infinite-crack-moving-in-an-infinite-orthotropic-material-with-a-circular-crack-breaker-under-antiplane-strain-7-2. Accessed 23 Nov. 2024.
EMENOGU, EMENOGU. "Closed Form Solution For A Semi-Infinite Crack Moving In An Infinite Orthotropic Material With A Circular Crack Breaker Under Antiplane Strain". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 13 Feb. 2023. Web. 23 Nov. 2024. < https://repository.mouau.edu.ng/work/view/closed-form-solution-for-a-semi-infinite-crack-moving-in-an-infinite-orthotropic-material-with-a-circular-crack-breaker-under-antiplane-strain-7-2 >.
EMENOGU, EMENOGU. "Closed Form Solution For A Semi-Infinite Crack Moving In An Infinite Orthotropic Material With A Circular Crack Breaker Under Antiplane Strain" Repository.mouau.edu.ng (2023). Accessed 23 Nov. 2024. https://repository.mouau.edu.ng/work/view/closed-form-solution-for-a-semi-infinite-crack-moving-in-an-infinite-orthotropic-material-with-a-circular-crack-breaker-under-antiplane-strain-7-2