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<p>Functionally graded materials (FGM) which are made from ceramic and metals are popular due to their mechanical and thermal resistance. These materials are prone to cracking and fracture, particularly are ceramic phase because of the brittleness. The weight function (WF) method, which is a powerful method in the field of fracture mechanics, is employed to analyze the fracture behavior of plates made of FGMs. To this end, WF coefficients were determined to calculate stress intensity factors (SIF) in plates made of FGM. The modified <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(J_{k}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>J</mi> <mi>k</mi> </msub> </math></EquationSource> </InlineEquation>-integral and a validated finite element method (FEM) code in ABAQUS were used to calculate the reference SIFs and WF coefficients. In the next step, SIFs in cracked FGM plates were analyzed using the developed WF approach and then compared with results directly calculated by the FEM method. Various variables were studied, such as crack length, crack angle, and material distribution along the geometry. The relative differences between the predicted results by the WF method and FEM were found to be acceptable. It was concluded that the WF method successfully determines SIFs for this case. Additionally, it was demonstrated that using more terms in the WF method leads to more accurate results and less difference between the FEM and the WF methods.</p>

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Application of weight function method for determining stress intensity factor in functionally graded plates

  • 期刊论文

  • 发表日期：

    2025年11月15日

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  • Hasan Mirahmadi,
  • Nasser Soltani,
  • Milad Zolfipour Aghdam

摘要

Functionally graded materials (FGM) which are made from ceramic and metals are popular due to their mechanical and thermal resistance. These materials are prone to cracking and fracture, particularly are ceramic phase because of the brittleness. The weight function (WF) method, which is a powerful method in the field of fracture mechanics, is employed to analyze the fracture behavior of plates made of FGMs. To this end, WF coefficients were determined to calculate stress intensity factors (SIF) in plates made of FGM. The modified \(J_{k}\) J k -integral and a validated finite element method (FEM) code in ABAQUS were used to calculate the reference SIFs and WF coefficients. In the next step, SIFs in cracked FGM plates were analyzed using the developed WF approach and then compared with results directly calculated by the FEM method. Various variables were studied, such as crack length, crack angle, and material distribution along the geometry. The relative differences between the predicted results by the WF method and FEM were found to be acceptable. It was concluded that the WF method successfully determines SIFs for this case. Additionally, it was demonstrated that using more terms in the WF method leads to more accurate results and less difference between the FEM and the WF methods.