| 混凝土材料损伤耦合的非线性粘弹性本构关系 |
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| 引用本文： | 陈建康,宋慧. 混凝土材料损伤耦合的非线性粘弹性本构关系[J]. 应用力学学报, 2011, 28(4) |
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| 作者姓名： | 陈建康 宋慧 |
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| 作者单位： | 宁波大学,宁波,315211 |
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| 基金项目： | 国家自然科学基金(10932011;10172074;51079069;10972109); 教育部重点科技项目(20103305110001); 宁波市自然科学基金(2009A610144) |
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| 摘 要： | 根据不可逆热力学原理和推广的Onsager原理建立了内变量演化的非线性方程;采用迭代方法得到了非线性方程的迭代解,并根据Lipschitz条件给出了迭代解的收敛条件。由此,建立了一维应力条件下的非线性粘弹性本构关系。将这一本构关系推广至三维应力情况,并考虑了状态方程和损伤演化,在剪切诱导材料粘性的前提下建立了混凝土损伤耦合的非线性粘弹性本构关系。在该关系式中：损伤演化方程与混凝土的粘性应变积累相关;状态方程服从三次多项式的形式。实验结果表明：此模型能够比较好地表征混凝土材料在达到强度极限前后的强化与软化的特征。
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| 关 键 词： | 混凝土 本构关系 粘弹性 状态方程 损伤演化 |
Damage coupled nonlinear viscoelastic constitutive model of concretes |
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| Chen Jiankang Song Hui. Damage coupled nonlinear viscoelastic constitutive model of concretes[J]. Chinese Journal of Applied Mechanics, 2011, 28(4) |
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| Authors: | Chen Jiankang Song Hui |
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| Affiliation: | Chen Jiankang Song Hui(The Faculty of Mechanical Engineering and Mechanics,Ningbo University,Ningbo,315211,China) |
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| Abstract: | Nonlinear equation of internal variable evolution is derived by means of the principle of thermodynamics and Onsager's theorem.The solution of the equation is obtained using iteration method,and the convergent condition is discussed in terms of Lipschitz's method.Based on the solution,a nonlinear viscoelastic stress and strain relation under 1-D condition is proposed.The damage coupled nonlinear viscoelastic model is derived by considering the damage evolution as well as state equation.In this model,the vis... |
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| Keywords: | concrete constitutive relation viscoelasticity state equation damage evolution |
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