Investigation of The Mechanism of Change of Concrete Modulus Matrix in Monotonic Loading and its Numerical Analysis
محورهای موضوعی :
Analytical and Numerical Methods in Mechanical Design
Farzad Peyman
1
1 - Department of Civil Engineering, QazvinBranch, Islamic Azad University Qazvin, Iran
تاریخ دریافت : 1401/07/20
تاریخ پذیرش : 1401/07/20
تاریخ انتشار : 1401/03/11
کلید واژه:
Damage,
Concrete,
Hardening,
Non-isotropic,
Monotonic Loading,
Softening,
چکیده مقاله :
The primary purpose of studying the behavior of concrete is to calculate its strength and deformation under environmental conditions and loading. In this regard, due to the structure and nature of concrete, non-isotropic in its experimental behavior at different loads is observed, considered in this research. Accordingly, by assuming a different linear elastic behavior in each loading increment and the experimental results, an attempt has been made to define a numerical linear-nonlinear behavior for concrete. Therefore, proportional numerical functions are defined based on the damage in the modulus of elasticity and the changes in the Poisson ratio of the concrete tested in monotonic loading types, the coefficients obtained from the related experimental results. The computational effects of these functions during the analytical method of the research cause the experimental behavior of concrete to be converted to numerical behavior. The validity of this numerical method is based on calibration and comparison with experimental results. In addition to hardening behavior, this numerical analysis can define softening behavior.
منابع و مأخذ:
Aloisio, Angelo, et al. "Indirect assessment of concrete resistance from FE model updating and Young’s modulus estimation of a multi-span PSC viaduct: Experimental tests and validation." Structures. Vol. 37. Elsevier, 2022.
Xu, J. J., et al. "A Bayesian model updating approach applied to mechanical properties of recycled aggregate concrete under uniaxial or triaxial compression." Construction and Building Materials 301 (2021): 124274.
Vu, Chi-Cong, et al. "Revisiting statistical size effects on compressive failure of heterogeneous materials, with a special focus on concrete." Journal of the Mechanics and Physics of Solids 121 (2018): 47-70.
Pijaudier-Cabot, Gilles, and Zdeněk P. Bažant. "Nonlocal damage theory." Journal of engineering mechanics 113.10 (1987): 1512-1533.
Pastor, M., O. C. Zienkiewicz, and AHC0702 Chan. "Generalized plasticity and the modelling of soil behaviour." International Journal for numerical and analytical methods in geomechanics 14.3 (1990): 151-190.
Jirasek, Milan. "Nonlocal models for damage and fracture: comparison of approaches." International Journal of Solids and Structures 35.31-32 (1998): 4133-4145.
Lee, K. M., and J. H. Park. "A numerical model for elastic modulus of concrete considering interfacial transition zone." Cement and Concrete Research 38.3 (2008): 396-402.
Jayawardhana, Madhuka, X. Q. Zhu, and RanjithLiyanapathirana. "An experimental study on damage detection of concrete structures using decentralized algorithms." Advances in Structural Engineering 16.1 (2013): 33-50.
Jefferson, A. D., et al. "A plastic-damage-contact constitutive model for concrete with smoothed evolution functions." Computers & Structures 169 (2016): 40-56.
Wang, Guosheng, et al. "A true 3D frictional hardening elastoplastic constitutive model of concrete based on a unified hardening/softening function." Journal of the Mechanics and Physics of Solids 119 (2018): 250-273.
Bažant, Zdeněk P., and Byung H. Oh. "Microplane model for progressive fracture of concrete and rock." Journal of Engineering Mechanics 111.4 (1985): 559-582.
Bažant, Zdeněk P., and Pere C. Prat. "Microplane model for brittle-plastic material: I. Theory." Journal of Engineering Mechanics 114.10 (1988): 1672-1688.
SADREJAD, SA, and G. N. Pande. "A multilaminate model for sands." International symposium on numerical models in geomechanics. 3 (NUMOG III). 1989.
Baz a ˇ nt, Zdeněk P., and JoškoOžbolt. "Nonlocal microplane model for fracture, damage, and size effect in structures." Journal of Engineering Mechanics 116.11 (1990): 2485-2505.
Sadrnejad, S. A. "Multilaminateelastoplastic model for granular media." International Journal of Engineering 5.1 (1992): 11-24.
Bazant, Zdenek P., and JoskoOzbolt. "Compression failure of quasibrittle material: Nonlocal microplane model." Journal of engineering mechanics 118.3 (1992): 540-556.
Ožbolt, Joško, and Zdeněk P. Bažant. "Microplane model for cyclic triaxial behavior of concrete." Journal of engineering mechanics 118.7 (1992): 1365-1386.
Carol, Ignacio, Pere C. Prat, and Zdeněk P. Bažant. "New explicit microplane model for concrete: theoretical aspects and numerical implementation." International Journal of Solids and Structures 29.9 (1992): 1173-1191.
Bažant, Zdeněk P., Yuyin Xiang, and Pere C. Prat. "Microplane model for concrete. I: Stress-strain boundaries and finite strain." Journal of Engineering Mechanics 122.3 (1996): 245-254.
Bažant, Zdeněk P., et al. "Microplane model for concrete: II: data delocalization and verification." Journal of Engineering Mechanics 122.3 (1996): 255-262.
Bažant, Zdeněk P., et al. "Microplane model M4 for concrete. I: Formulation with work-conjugate deviatoric stress." Journal of Engineering Mechanics 126.9 (2000): 944-953.
Sadrnejad, SeyedAmirodin, and Hamid Karimpour. "Drained and undrained sand behaviour by multilaminate bounding surface model." International Journal of Civil Engineering 9.2 (2011): 111-125.
Daouadji, Ali, et al. "Experimental and numerical investigation of diffuse instability in granular materials using a microstructural model under various loading paths." Géotechnique 63.5 (2013): 368-381.
Fang, H. L., H. Zheng, and Jun Zheng. "Micromechanics-based multimechanism bounding surface model for sands." International Journal of Plasticity 90 (2017): 242-266.
Keerthana, K., and JM Chandra Kishen. "Micromechanics of fracture and failure in concrete under monotonic and fatigue loadings." Mechanics of Materials 148 (2020): 103490.
Lu, Dechun, et al. "A cohesion-friction combined hardening plastic model of concrete with the nonorthogonal flow rule: Theory and numerical implementation." Construction and Building Materials 325 (2022): 126586.
Zheng, B. T., and J. G. Teng. "A plasticity constitutive model for concrete under multiaxial compression." Engineering Structures 251 (2022): 113435.
Bakhti, R., et al. "New approach for computing damage parameters evolution in plastic damage model for concrete." Case Studies in Construction Materials 16 (2022): e00834.
Jin, Liu, et al. "Numerical and theoretical investigation on the size effect of concrete compressive strength considering the maximum aggregate size." International Journal of Mechanical Sciences 192 (2021): 106130.
Zhou, Xin, et al. "A 3D non-orthogonal plastic damage model for concrete." Computer Methods in Applied Mechanics and Engineering 360 (2020): 112716.
Poliotti, Mauro, and Jesús-Miguel Bairán. "A new concrete plastic-damage model with an evolutivedilatancy parameter." Engineering structures 189 (2019): 541-549.
Mohammadi, Mohsen, and Yu-Fei Wu. "Modified plastic-damage model for passively confined concrete based on triaxial tests." Composites Part B: Engineering 159 (2019): 211-223.
Sarikaya, A., and R. E. Erkmen. "A plastic-damage model for concrete under compression." International Journal of Mechanical Sciences 150 (2019): 584-593.
Demin, Wei, and He Fukang. "Investigation for plastic damage constitutive models of the concrete material." Procedia engineering 210 (2017): 71-78.
Wu, Zhangyu, et al. "Mesoscopicmodelling of concrete material under static and dynamic loadings: A review." Construction and Building Materials 278 (2021): 122419.
Xia, Yang, et al. "Mesoscopic study of concrete with random aggregate model using phase field method." Construction and Building Materials 310 (2021): 125199.
Jin, Liu, et al. "Mesoscopic simulations on the strength and size effect of concrete under biaxial loading." Engineering Fracture Mechanics 253 (2021): 107870.
Li, Dong, et al. "Theoretical characterization of mesoscopic dynamic fracture behaviors of concrete based on an extended self-consistent finite stress model (XSFSM)." Theoretical and Applied Fracture Mechanics 108 (2020): 102677.
Peyman, Farzad, and Seyed A. Sadrnejad. "Analysis of concrete crack growth based on micro‐plane model." Structural Concrete 19.3 (2018): 930-945.
Kwan, A. K. H., P. L. Ng, and Z. M. Wang. "Mesoscopic analysis of crack propagation in concrete by nonlinear finite element method with crack queuing algorithm." Procedia Engineering 172 (2017): 620-627.
Sadrnejad, S. A., and ShShakeri. "Multi-laminate non-coaxial modelling of anisotropic sand behavior through damage formulation." Computers and Geotechnics 88 (2017): 18-31.
Sadrnejad, S. A., and ShShakeri. "Fabric assessment of damaged anisotropic geo-materials using the multi-laminate model." International Journal of Rock Mechanics and Mining Sciences 91 (2017): 90-103.
Negi, Alok, and Sachin Kumar. "A continuous–discontinuous localizing gradient damage framework for failure analysis of quasi-brittle materials." Computer Methods in Applied Mechanics and Engineering 390 (2022): 114434.
Peng, Rong-xin, Wen-liangQiu, and Meng Jiang. "Application of a micro-model for concrete to the simulation of crack propagation." Theoretical and Applied Fracture Mechanics 116 (2021): 103081.
Stamati, O., et al. "Fracturing process of micro-concrete under uniaxial and triaxial compression: Insights from in-situ X-ray mechanical tests." Cement and Concrete Research 149 (2021): 106578.
Wu, Baijian, Zhaoxia Li, and Keke Tang. "Numerical modeling on micro-to-macro evolution of crack network for concrete materials." Theoretical and Applied Fracture Mechanics 107 (2020): 102525.
Nguyen, Tuan, et al. "Uncertainty quantification of the mechanical properties of lightweight concrete using micromechanical modelling." International Journal of Mechanical Sciences 173 (2020): 105468.
Alam, Syed Yasir, and Ahmed Loukili. "Effect of micro-macro crack interaction on softening behaviour of concrete fracture." International Journal of Solids and Structures 182 (2020): 34-45.
Evangelista Jr, Francisco, and José FabianoAraújo Moreira. "A novel continuum damage model to simulate quasi-brittle failure in mode I and mixed-mode conditions using a continuous or a continuous-discontinuous strategy." Theoretical and Applied Fracture Mechanics 109 (2020): 102745.
Imran, Iswandi. "Applications of non-associated plasticity in modelling the mechanical response of concrete." (1996): 3905-3905.
Candappa, D. C., J. G. Sanjayan, and SujeevaSetunge. "Complete triaxial stress-strain curves of high-strength concrete." Journal of materials in civil engineering 13.3 (2001): 209-215.
Dahl, Kaare KB. A constitutive model for normal and high strength concrete. Afdelingen for BaerendeKonstruktioner, DankmarksTekniskeHøjskole, 1992.
Červenka, Jan, and Vassilis K. Papanikolaou. "Three dimensional combined fracture–plastic material model for concrete." International journal of plasticity 24.12 (2008): 2192-2220.