Polytopal composite finite elements for modeling concrete fracture based on nonlocal damage models

Huynh, Hai D.; Natarajan, Sendhil Kumar; Nguyen‐Xuan, H.; Zhuang, Xiaoying

doi:10.1007/s00466-020-01898-y

Cited by 13 publications

(6 citation statements)

References 42 publications

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“…Therefore, the article has chosen to survey through the area of the Z EC regression surface in order to accurately survey the relationship between the distribution of these EC values and the structure change. This area is a partial area limited by Z: the boundaries are the fixed and pre-selected frequency distribution range of f, and the PSD boundary is from 0 to the maximum value of the first bending mode according to equation (23). Thus, equation ( 23) is the researched parameter used to standardize the comparison between different types of concrete beam structures.…”

Section: Evaluating Quality Of the Actual Beam Concretementioning

confidence: 99%

“…(11) and equation. (23) increases when the amplitude of the PSD spectrum increases, or, in other words, the structure stiffness gradually decreases. This is a sufficiently sensitive parameter to identify structural changes despite the very small degree of change.…”

Section: Evaluating Quality Of the Actual Beam Concretementioning

confidence: 99%

“…Thus, the changes that occur in a concrete structure will be dependent on time through many unforeseen factors, such as sudden changes in external forces, weather impacting the structure, and natural calamities. In the mathematical problem of determining the structure change, the model of spectrum analysis in representing the non-model structural method [19][20][21] and the finite element method [22][23] in representing the model structural method are widely used. Furthermore, according to developments in modern science, many methods applying wavelet algorithms, [24][25][26][27][28] the algorithms of neural networks, [29][30][31][32][33][34] and the Bayes algorithm [35][36] have added value to the computational evaluation of structures.…”

Section: Introductionmentioning

confidence: 99%

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Using viscous resistance system based on machine learning in engineering concrete structures

Nguyen¹

2022

Journal of Low Frequency Noise, Vibration and Active Control

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Through the combination of two approaches to evaluating structure change, a structural model and an unstructured model, a constructed model has been proposed in this article that evaluates structural change through the expansion of a linear model following the Hooke’s Law principle. The study has relied on the pure compression model of a structure’s concrete beam with elastic modulus ( E) and has added the coefficient of viscosity resistance ( C) to suggest a new evaluation method. By defining the aggregation of values of both coefficients C and E through the experimental model, the input parameters are the amplitude values of the vibration spectra and the values of frequencies based on machine learning, through which Z EC values are generated. The Z EC values determine a regression plane accumulated from the aggregation of values for both C and E. The article has introduced the Z EC concept as a useful parameter for the assessment of the quality of concrete structures by the nonlinear model with the appearance of the coefficient C. The results show that the Z EC values have expressed the distribution validity according to the structure’s differing degrees of change. Depending on the texture type and the structure status, these Z EC values will form different shapes. By implementing the actual surveys from many bridges with two types of beam structures, prestressed concrete and conjugated concrete, the Z EC values show the same development trend. On the contrary, in the case of a change in mechanical structure, the Z EC values tend to increase. This evidence proves, in regard to the process of structural change, that the larger the changes in the structure, the more pronounced the distribution of Z EC values, and the wider the distribution range. This shows that the ratio of the damping coefficient C to the elastic modulus E will become increasingly unstable as the structure becomes weaker and weaker. In the future, the results from this study can be applied in the assessment of many types of actual structures.

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Section: Evaluating Quality Of the Actual Beam Concretementioning

confidence: 99%

Section: Evaluating Quality Of the Actual Beam Concretementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Using viscous resistance system based on machine learning in engineering concrete structures

Nguyen¹

2022

Journal of Low Frequency Noise, Vibration and Active Control

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“…The main novelty is the application of polygonal finite elements in modeling thermo‐mechanical rock fracture processes for the first time. Polygonal finite elements have been used in general fracture analyses by, for example, Huynh et al 24,25 . and by Khoei et al 26 .…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of thermo‐mechanical failure processes in granitic rock with polygonal finite elements

Saksala

2021

Num Anal Meth Geomechanics

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This paper considers numerical modeling of intensive heating induced thermo‐mechanical failure processes in granitic rock. For this end, a numerical method based on polygonal finite elements and a damage‐plasticity model is developed. A staggered scheme is employed to solve the global thermo‐mechanical problem. The rock failure is described by a Rankine‐Mohr‐Coulomb plasticity model with separate scalar damage variables for tension and compression. Consistent tangent operator is derived for this model. Special attention is given to the temperature dependence of the thermo‐mechanical material properties of heterogeneous rock. In the numerical examples, the method is first verified with an analytical solution of thermal stresses in a hollow cylinder, and then qualitatively validated with the problems of thermal cracking of concentric cylinders and uniaxial compressive test on rock under elevated temperatures. Finally, the method is applied in novel simulations inspired by the degradation of sauna stones under slow heating‐rapid cooling and the comminution by rapid heating‐cooling cycles.

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“…Mặt khác, phần tử đa giác cũng được đánh giá là có độ chính xác cao hơn, ít nhạy với sự méo dạng (distortion) hơn so với phần tử hữu hạn thông thường10,12,15 . Việc tính toán trường đạo hàm (biến dạng, ứng suất) chính xác hơn cũng là ưu thế khi sử dụng phần tử đa giác trong phân tích hiện tượng hư hại vật liệu, như đề cập bởi Huynh và cs 16. cho mô hình phi cục bộ.…”

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Regularized local damage model for quasi-brittle material

Tran,

Nguyen,

Bui

et al. 2023

Sci. Tech. Dev. J. - Eng. Tech

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This paper presents an improved local damage model for quasi-brittle materials. A parameter, namely damage, in the range [0,1] is used to characterize the material from intact state to complete failure. Classical local damage model is known for low computational cost but it suffers from numerical issues such as difficult convergence and mesh-density-dependent results. Various non-local models have therefore been proposed, however the computational cost is increased, which hinders the applicability in practical problems. Furthermore, the width of the damage zone predicted by the non-local models is usually non-physically large. Here, the improvement is the introduction of the fracture energy and element-size into the calculation of damage parameters to mitigate the weakness of the local damage model, while keeping low computational cost. The employment of polygonal element is also proposed to utilize the advantage of high-accuracy, thus less number of elements (than the usual 3-node triangular or 4-node quadrilateral elements) can be used. The bi-energy norm-based equivalent strain is for the first time considered in a local damage model. This quantity is based on the maximum strain criterion, but with a modification to take into account the property of quasi-brittle materials such as concrete, limestone, etc., that load capacity in compression is higher than in tension. Accuracy and efficiency of the proposed model is investigated through comparison with reference results from experiments and other numerical methods.

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Polytopal composite finite elements for modeling concrete fracture based on nonlocal damage models

Cited by 13 publications

References 42 publications

Using viscous resistance system based on machine learning in engineering concrete structures

Using viscous resistance system based on machine learning in engineering concrete structures

Numerical modeling of thermo‐mechanical failure processes in granitic rock with polygonal finite elements

Regularized local damage model for quasi-brittle material

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