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Recent Advances in the Analytical Stress Field Solutions for Radiused Notches in Orthotropic Solids

MATERIALS (2023)

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Article Mechanics

A new explicit solution for the mode I stress fields in notched orthotropic solids

Matteo Pastrello et al.

Summary: This paper investigates the stress distributions in orthotropic solids weakened by hyperbolic-shaped notches and loaded under in-plane tension. A new solution is derived through an optimization algorithm that can account for the geometrical features of the notch and the elastic material properties. The derived solution is compared with results from two-dimensional finite element analyses, demonstrating its high accuracy and improvements over the previous existing solution for the same problem.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2023)

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Article Mechanics

A full field solution for an anisotropic elastic plate with a hole perturbed from an ellipse

Meng -Ling Hsieh et al.

Summary: In this study, a full-field solution for an infinite anisotropic plate containing a hole perturbed from an ellipse subjected to uniform loading at infinity is derived using Stroh formalism. Through perturbation technique and the method of analytical continuation, the unknown coefficients of the solution series are solved, resulting in an accurate explicit full-field solution up to the first order. Numerical examples are provided to verify the results against existing solutions and commercial finite element software ANSYS, concluding that the solutions presented in this paper are the first verified correct full-field analytical solutions published in the literature.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2023)

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Article Mechanics

Open holes in composite laminates with finite dimensions: structural assessment by analytical methods

M. Nguyen-Hoang et al.

Summary: The paper presents a comprehensive stress and failure analysis framework based on analytical methods for evaluating the safety and lightweight design of open circular holes. The stress field for the finite-width open-hole problem with orthotropic material is derived using the complex potential method and validated against finite-element analyses. Failure analysis is conducted using the Theory of Critical Distances and Finite Fracture Mechanics, and the results are compared and validated against experimental data. The study also considers the size effect and investigates the influence of finite width on the effective failure load reduction.

ARCHIVE OF APPLIED MECHANICS (2022)

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Article Mechanics

Stress distributions in orthotropic solids with blunt notches under in-plane shear loadings

Matteo Pastrello et al.

Summary: The study presents new stress distribution equations considering the geometric characteristics of notches and material properties. It analyzes the stress distributions in orthotropic solids under in-plane shear for different geometries, and demonstrates the accuracy of the solutions through numerical analysis.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2022)

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Article Mechanics

Stress analysis for an orthotropic elastic half plane with an oblique edge crack and stress intensity factors

Norio Hasebe

Summary: The main purposes of this paper are to analytically derive the general solution for an orthotropic elastic half plane with a crack or a notch, derive the Riemann-Hilbert equation as the analytical method, solve the problem using two methods, and derive general expressions of the stress intensity factor for a crack problem. It is confirmed that the stress functions obtained by the Riemann-Hilbert equation and Cauchy integral method are the same, and can be expressed by any elastic constants for calculating Mode I and II SIFs.

ACTA MECHANICA (2021)

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Article Engineering, Geological

An analytical solution for the stress distribution around the cased borehole in the orthotropic formation

Hongwei Wang

Summary: A more efficient and accurate analytical approach based on a pure elastic cased borehole model was proposed to calculate stress distribution, which was validated and used to analyze the impact of mechanical properties changes on the cased borehole model. The derived approach showed a larger effect range of the cased borehole on formation compared to the borehole axis.

INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES (2021)

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Article Engineering, Mechanical

Mode I Generalised Stress Intensity Factors for rounded notches in orthotropic plates

M. Zappalorto

THEORETICAL AND APPLIED FRACTURE MECHANICS (2019)

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Article Mechanics

Antiplane shear stresses in orthotropic plates with lateral blunt notches

Michele Zappalorto et al.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2019)

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Article Engineering, Multidisciplinary

Singular stress analysis near sharp corners in anisotropic notched plates subjected to bending loads

Chung-De Chen

APPLIED MATHEMATICAL MODELLING (2018)

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Article Mechanics

A general solution for stress resultants around a circular cutout in laminate plates under different in-plane loadings: analytical and experimental investigations

Abdelhak Khechai et al.

ARCHIVE OF APPLIED MECHANICS (2018)

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Article Engineering, Mechanical

Two-dimensional stress distributions in tensioned orthotropic plates weakened by blunt V-shaped notches

M. Zappalorto et al.

FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES (2017)

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Article Mechanics

A unified solution approach for a large variety of antiplane shear and torsion notch problems: Theory and examples

Marco Salviato et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2016)

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Article Mechanics

Stress distribution at sharp and rounded V-notches in quasi-orthotropic plane

Andrzej Kazberuk et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2016)

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Article Materials Science, Multidisciplinary

Influence of the Anisotropy of Materials on the Distribution of Stresses Near Parabolic Notches

M. P. Savruk et al.

MATERIALS SCIENCE (2016)

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Article Engineering, Mechanical

Stress concentration near sharp and rounded V-notches in orthotropic and quasi-orthotropic bodies

Mykhaylo P. Savruk et al.

THEORETICAL AND APPLIED FRACTURE MECHANICS (2016)

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Article Mechanics

Stress distributions for blunt cracks and radiused slits in anisotropic plates under in-plane loadings

Michele Zappalorto et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2015)

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Article Mechanics

A sensitive interval of imperfect interface parameters based on the analysis of general solution for anisotropic matrix containing an elliptic inhomogeneity

Z. Q. Huang et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2015)

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Article Materials Science, Multidisciplinary

Plane Problem of Magnetoelasticity for a Piezomagnetic Medium with Cracks

L. D. Fil'shtyns'kyi et al.

MATERIALS SCIENCE (2015)

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Article Mechanics

Stress fields at sharp angular corners in thick anisotropic composite plates

Michele Zappalorto et al.

COMPOSITE STRUCTURES (2014)

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Article Materials Science, Multidisciplinary

In-plane and out-of-plane stress field solutions for V-notches with end holes

Michele Zappalorto et al.

INTERNATIONAL JOURNAL OF FRACTURE (2011)

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Article Engineering, Mechanical

Stress fields due to inclined notches and shoulder fillets in shafts under torsion

M. Zappalorto et al.

JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN (2011)

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Article Mechanics

A unified approach to the analysis of nonlinear stress and strain fields ahead of mode III-loaded notches and cracks

M. Zappalorto et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2010)

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Article Mechanics

Stress analysis for an orthotropic plate with an irregular shaped hole for different in-plane loading conditions - Part 1

VG Ukadgaonker et al.

COMPOSITE STRUCTURES (2005)

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Article Engineering, Mechanical

Distributions of the elastic principal stress due to notches in finite size plates and rounded bars uniaxially loaded

S Filippi et al.

INTERNATIONAL JOURNAL OF FATIGUE (2004)

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Article Mechanics

Stress singularities in a bimaterial anisotropic wedge with arbitrary fiber orientation

CH Chue et al.

COMPOSITE STRUCTURES (2002)

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Article Mechanics

Developments of some explicit formulas useful to describe elastic stress fields ahead of notches in plates

S Filippi et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2002)

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Article Mechanics

A general solution on stress singularities in an anisotropic wedge

CH Chue et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2001)

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Article Mechanics

A general solution for stresses around holes in symmetric laminates under inplane loading

VG Ukadgaonker et al.

COMPOSITE STRUCTURES (2000)

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