Antiplane shear stresses in orthotropic plates with lateral blunt notches

Zappalorto, Michele; Salviato, Marco

doi:10.1016/j.euromechsol.2019.103815

Cited by 9 publications

(5 citation statements)

References 30 publications

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“…Out-of-plane shear stress fields in the considered thick orthotropic plate can be written in terms of a complex function [31]:…”

Section: Solution For the Quasi-harmonic Equation (Out-of-plane Shear...mentioning

confidence: 99%

“…The out-of-plane stress fields, instead, can be derived starting from the solution obtained by Zappalorto and Salviato [31] for the pure antiplane shear loadings, which can be re-written as:…”

Section: Elliptical Hole In a Thick Plate Under Shearmentioning

confidence: 99%

“…The out-of-plane shear stress components can be determined according to the solution proposed in Ref. [31], according to which the stress field can be written as follows:…”

Section: Lateral Radiused Notch Under Shearmentioning

confidence: 99%

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Three-Dimensional Stress Fields in Thick Orthotropic Plates with Sharply Curved Notches under In-Plane and Out-of-Plane Shear

2023

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In this paper, an analytical solution for the stress fields in the close neighbourhoods of radiused notches in thick orthotropic plates under shear loading and twisting is provided. In the first step, the equations of the three-dimensional theory of elasticity are successfully reduced to two uncoupled equations in two-dimensional space. Later, the 3D stress field solution for orthotropic plates with radiused notches is presented and its degree of accuracy is discussed by comparing theoretical results and numerical data from 3D FE analyses. The solution proposed can be satisfactorily used to characterise the stress field in plates made with polymeric composite materials, such as fibre-reinforced polymers and natural composites.

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“…Out-of-plane shear stress fields in the considered thick orthotropic plate can be written in terms of a complex function [31]:…”

Section: Solution For the Quasi-harmonic Equation (Out-of-plane Shear...mentioning

confidence: 99%

Section: Elliptical Hole In a Thick Plate Under Shearmentioning

confidence: 99%

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Three-Dimensional Stress Fields in Thick Orthotropic Plates with Sharply Curved Notches under In-Plane and Out-of-Plane Shear

2023

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“…In recent times, many research works have focused on anti‐plane shear loading. In [25], the authors were devoted to analysing the stress fields around rounded notches in orthotropic bodies subject to anti‐plane shear loading by using the complex potential approach for anti‐plane orthotropic elasticity with the conformal mapping technique. Physical quantities like SIF and crack opening displacement (COD) were derived for a moving crack in semi‐infinite half space in [26].…”

Section: Introductionmentioning

confidence: 99%

Interaction among interfacial offset cracks in composite materials under the anti‐plane shear loading

et al. 2023

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The present article considers an anti‐plane stress problem of three cracks at different orthotropic materials' interfaces. According to the geometry of the problem, the governing equations and mixed boundary conditions have been formulated. Fourier integral transformation is used to convert the mixed boundary value problem into dual integral equations, which gives two equations containing infinite series. The investigation of the problem concerning anti‐plane cracks subjected to static loadings is done with the help of the Schmidt method to satisfy the given boundary conditions. The difference in displacements is expanded to proceed further in the problem, which becomes zero outside the cracks. Numerical computations are carried out for the graphical representation of stress intensity factors (SIFs) at all cracks' tips. The Interaction among the cracks as those are in close proximity to each other or move away are represented pictorially. Detailed numerical results and discussion are done for the considered materials, which include aluminium, epoxy and graphite epoxy. The novelty of the present article is the numerical analysis and pictorial presentation of SIFs at the tips of interfacial offset parallel cracks for various crack lengths and normalised heights for different combinations of materials. The authors have obtained variations in SIFs for the cracks at the interfaces of dissimilar composite materials.

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“…Zappalorto and Salviato [ 1 ] computed analytically the stress distribution in orthotropic plates under out-of-plane shear for linear elastic materials in four geometric configurations. In addition, Zappalorto [ 2 ] conducted an experimental study on the notch sensitivity in orthotropic materials.…”

Section: Introductionmentioning

confidence: 99%

Tensile-Tearing Fracture Analysis of U-Notched Spruce Samples

et al. 2022

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Spruce wood (Picea Mariana) is a highly orthotropic material whose fracture behavior in the presence of U-shaped notches and under combined tensile-tearing loading (so-called mixed-mode I/III loading) is analyzed in this work. Thus, several tests are carried out on U-notched samples with different notch tip radii (1 mm, 2 mm, and 4 mm) under various combinations of loading modes I and III (pure mode I, pure mode III, and three mixed-mode I/III loadings), from which both the experimental fracture loads and the fracture angles of the specimens are obtained. Because of the linear elastic behavior of the spruce wood, the point stress (PS) and mean stress (MS) methods, both being stress-based criteria, are used in combination with the Virtual Isotropic Material Concept (VIMC) for predicting the fracture loads and the fracture angles. By employing the VIMC, the spruce wood as an orthotropic material is modeled as a homogeneous and isotropic material with linear elastic behavior. The stress components required for calculating the experimental values of notch stress intensity factors are obtained by finite element (FE) analyses of the test configuration using commercial FE software from the fracture loads obtained experimentally. The discrepancies between the experimental and theoretical results of the critical notch stress intensity factors are obtained between −12.1% and −15% for the PS criterion and between −5.9% and −14.6% for the MS criterion, respectively. The discrepancies related to fracture initiation angle range from −1.0% to +12.1% for the PS criterion and from +1.5% to +12.2% for the MS criterion, respectively. Thus, both the PS and MS models have good accuracy when compared with the experimental data. It is also found that both failure criteria underestimate the fracture resistance of spruce wood under mixed-mode I/III loading.

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Antiplane shear stresses in orthotropic plates with lateral blunt notches

Cited by 9 publications

References 30 publications

Three-Dimensional Stress Fields in Thick Orthotropic Plates with Sharply Curved Notches under In-Plane and Out-of-Plane Shear

Three-Dimensional Stress Fields in Thick Orthotropic Plates with Sharply Curved Notches under In-Plane and Out-of-Plane Shear

Interaction among interfacial offset cracks in composite materials under the anti‐plane shear loading

Tensile-Tearing Fracture Analysis of U-Notched Spruce Samples

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