Rationalized improvement of Tsai–Wu failure criterion considering different failure modes of composite materials

Chen, Xiangming; Sun, Xiannian; Chen, Puhui; Wang, Binwen; Gu, Jiefei; Wang, Wenzhi; Chai, Yi; Zhao, Yueran

doi:10.1016/j.compstruct.2020.113120

Cited by 37 publications

(12 citation statements)

References 25 publications

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“…Therefore, the failure mode and failure strength of composite sandwich structures can be accurately predicted by progressive damage analysis. 40,41 The commonly used failure criterion mainly includes the maximum stress criterion, 42 Tsai-Hill criterion, 43 Tsai-Wu criterion, 44 and 3D Hashin criterion. 45,46 The maximum stress criterion ignores the coupling effect of multiple failure modes.…”

Section: Progressive Damage Analysis Methodsmentioning

confidence: 99%

A dimension-reduction based Chebyshev polynomial method for uncertainty analysis in composite corrugated sandwich structures

Zhao

et al. 2022

Journal of Composite Materials

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A prediction method for the ultimate load of composite corrugated sandwich structures (CCSS) was established based on the dimension-reduction method and Chebyshev polynomial. First, an ultimate load response function of the CCSS was reduced in dimension on basis of the univariate method. The original response function was converted to the sum of univariate functions of all random variables. Chebyshev polynomial was used to fit all univariate functions, and the univariate Chebyshev approximate model (UCAM) of the response function was obtained. Second, the fitting accuracy of the UCAM was analytically compared with the Kriging model, radial basis function, and response surface methodology. Finally, the effect of the order on the fitting accuracy of UCAM was studied. The UCAM has higher fitting accuracy and calculation efficiency compared with the other three approximate models. When the order of UCAM is lower than ninth-order, the larger the order, the higher the fitting accuracy. And the order and the fitting accuracy are no longer positively correlated when the order exceeds ninth-order. The order is recommended to choose an odd-order when using UCAM to solve the uncertainty problem.

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Section: Progressive Damage Analysis Methodsmentioning

confidence: 99%

A dimension-reduction based Chebyshev polynomial method for uncertainty analysis in composite corrugated sandwich structures

Zhao

et al. 2022

Journal of Composite Materials

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“…These two disadvantages limit its applications in the cumulative damage analysis of composite materials. A new failure criterion 38 was established to distinguish different failure modes of unidirectional composite materials, as shown in equation ( 1), and the derivation of the equation is shown in ref. 38.…”

Section: Finite Element Analysis Methodsmentioning

confidence: 99%

“…A new failure criterion 38 was established to distinguish different failure modes of unidirectional composite materials, as shown in equation (1), and the derivation of the equation is shown in ref. 38. It can be used in the cumulative damage analysis of composite materials in different damage modes:where…”

Section: Research Object and Methodsmentioning

confidence: 99%

Post-buckling failure analysis of composite stiffened panels considering the mode III fracture

Wang¹,

Chen²,

Wang

et al. 2022

Journal of Composite Materials

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Fully utilizing the post-buckling capacity of stiffened composite panels is important to reduce the weight of aeronautical composite structures. However, owing to the complex post-buckling failure modes and mechanisms, there are no effective analysis methods. This paper explores the impacts of the mode III fracture energy on the damage behavior of the stiffener–skin interface of composite stiffened panels under post-buckling conditions. To characterize the bonding interface damage, an interface damage initiation criterion considering the effects of through-thickness compression on the shear failure was used and combined with the Reeder damage extension criterion, which considers the mode III fracture. The mode III fracture toughness characteristics of the damage evolution of the stiffener–skin interface were obtained using the edge crack torsion (ECT) test method. Moreover, the compressive deformation response, buckling load, buckling modes, failure load, and failure modes of the panel were obtained by a compression test of I-shaped stiffened panels. Based on the aforementioned experimental data and numerical model, the post-buckling behavior of the I-shaped stiffened composite panels with an open cross-section stiffener was studied. It was found that the mode III fracture energy caused by the longitudinal shear stress τ31 played a major role in the stiffener–skin interface damage extension of the stiffened panels. Therefore, the mode III fracture behavior should not be ignored in the post-buckling analysis. The numerical analysis method developed can accurately predict the damage initiation and evolution processes of the composite panel interface. The method can be effectively used for post-buckling analysis of aeronautical composite panels.

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“…The failure criterion of Tsai-Wu (Table 1) includes a constant of a xy that must be between −1 and 1, but despite numerous studies by different authors [32,42,43], there is still no universal equation for its determination. The following values were used in the study: −1, −0.7, −0.3, 0, 0.3, 0.6 and 1.…”

Section: Finite Element Modellingmentioning

confidence: 99%

Application of Failure Criteria on Plywood under Bending

Merhar

2021

Polymers

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In composite materials, the use of failure criteria is necessary to determine the failure forces. Various failure criteria are known, from the simplest ones that compare individual stresses with the corresponding strength, to more complex ones that take into account the sign and direction of the stress, as well as mutual interactions of the acting stresses. This study investigates the application of the maximum stress, Tsai-Hill, Tsai-Wu, Puck, Hoffman and Hashin criteria to beech plywood made from a series of plies of differently oriented beech veneers. Specimens were cut from the manufactured boards at various angles and loaded by bending to failure. The mechanical properties of the beech veneer were also determined. The specimens were modelled using the finite element method with a composite modulus and considering the different failure criteria where the failure forces were calculated and compared with the measured values. It was found that the calculated forces based on all failure criteria were lower than those measured experimentally. The forces determined using the maximum stress criterion showed the best agreement between the calculated and measured forces.

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Rationalized improvement of Tsai–Wu failure criterion considering different failure modes of composite materials

Cited by 37 publications

References 25 publications

A dimension-reduction based Chebyshev polynomial method for uncertainty analysis in composite corrugated sandwich structures

A dimension-reduction based Chebyshev polynomial method for uncertainty analysis in composite corrugated sandwich structures

Post-buckling failure analysis of composite stiffened panels considering the mode III fracture

Application of Failure Criteria on Plywood under Bending

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