The bimodulus material is a classical model to describe the elastic behavior of materials with tension-compression asymmetry.Due to the inherently nonlinear properties of bimodular materials,traditional iteration meth...The bimodulus material is a classical model to describe the elastic behavior of materials with tension-compression asymmetry.Due to the inherently nonlinear properties of bimodular materials,traditional iteration methods suffer from low convergence efficiency and poor adaptability for large-scale structures in engineering.In this paper,a novel 3D algorithm is established by complementing the three shear moduli of the constitutive equation in principal stress coordinates.In contrast to the existing 3D shear modulus constructed based on experience,in this paper the shear modulus is derived theoretically through a limit process.Then,a theoretically self-consistent complemented algorithm is established and implemented in ABAQUS via UMAT;its good stability and convergence efficiency are verified by using benchmark examples.Numerical analysis shows that the calculation error for bimodulus structures using the traditional linear elastic theory is large,which is not in line with reality.展开更多
Sandwich materials are widely used in marine structures because of their excellent comprehensive properties.However,the solution of bimodulus is challenging.Therefore,the theoretical and numerical approximation method...Sandwich materials are widely used in marine structures because of their excellent comprehensive properties.However,the solution of bimodulus is challenging.Therefore,the theoretical and numerical approximation methods for the analysis of load-bearing characteristics of bimodulus sandwich structures are put forward comprehensively in this paper.Based on the superposition principle,a theoretical method for calculating the neutral surface position of bimodulus sandwich plate is derived,and the corresponding bending control equation is obtained.The proposed theoretical approximation method can fully consider the sawtooth deformation between the plate and the core,as well as the sawtooth deformation inside the core at the tension–compression interface.Moreover,a finite element model is established for complex sandwich structures to analyze the influence of bimodulus.Numerical examples show that the theoretical approximation model proposed in this paper has higher calculation accuracy.展开更多
基金the National Natural Science Foundation of China(Grant 51908071)Scientific Research Project of Education Department of Hunan Province(Grant 18C0194)Open Fund of Key Laboratory of Road Structure and Material of Ministry of Transport,Changsha University of Science&Technology(Grant kfi 170303).
文摘The bimodulus material is a classical model to describe the elastic behavior of materials with tension-compression asymmetry.Due to the inherently nonlinear properties of bimodular materials,traditional iteration methods suffer from low convergence efficiency and poor adaptability for large-scale structures in engineering.In this paper,a novel 3D algorithm is established by complementing the three shear moduli of the constitutive equation in principal stress coordinates.In contrast to the existing 3D shear modulus constructed based on experience,in this paper the shear modulus is derived theoretically through a limit process.Then,a theoretically self-consistent complemented algorithm is established and implemented in ABAQUS via UMAT;its good stability and convergence efficiency are verified by using benchmark examples.Numerical analysis shows that the calculation error for bimodulus structures using the traditional linear elastic theory is large,which is not in line with reality.
基金supported by the National Natural Science Foundation of China(51979213).
文摘Sandwich materials are widely used in marine structures because of their excellent comprehensive properties.However,the solution of bimodulus is challenging.Therefore,the theoretical and numerical approximation methods for the analysis of load-bearing characteristics of bimodulus sandwich structures are put forward comprehensively in this paper.Based on the superposition principle,a theoretical method for calculating the neutral surface position of bimodulus sandwich plate is derived,and the corresponding bending control equation is obtained.The proposed theoretical approximation method can fully consider the sawtooth deformation between the plate and the core,as well as the sawtooth deformation inside the core at the tension–compression interface.Moreover,a finite element model is established for complex sandwich structures to analyze the influence of bimodulus.Numerical examples show that the theoretical approximation model proposed in this paper has higher calculation accuracy.
