摘要
变形加固理论是弹塑性结构稳定性理论,建立基于塑性余能的结构稳定性判据并确定阻止结构失稳的有效加固力。变形加固理论的核心是最小塑性余能原理:结构总是趋于塑性余能最小的变形状态,即自承载力最大、加固力最小的变形状态。完善最小塑性余能原理的证明,并提出弹塑性结构稳定状态的最小余能原理。阐明变形加固理论对有限元法的发展:揭示了不平衡力与修正Newton-Raphson算法的物理内涵。将变形加固理论与刚体极限平衡法对比,阐明其工程意义是对设计中采用的作用-抗力体系的发展,加固完整描述了作用与抗力之差。
Deformation reinforcement theory （DRT） advances stability criterion for elastoplastic structures and suggests effective reinforcement to prevent instability. The core of DRT is the principle of minimum plastic complementary energy （PCE）： elastoplastic structures deform trending to the state of minimum PCE, or to take full advantage of their bearing capacities while to minimize the required reinforcement. This principle is rederived and the principle of minimum complementary energy for stable states is given. It is shown that DRT promotes finite element method by revealing the physical meanings of the unbalanced force and the modified Newton-Raphson algorithm. By comparison with the rigid body limit equilibrium method, the engineering significance of DRT is illuminated： the traditional action-resistance system in engineering design is extended to action-resistance-reinforcement system, where reinforcement fully described the difference of action and resistance.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2011年第1期1-8,共8页
Rock and Soil Mechanics
基金
国家自然科学基金资助项目(No.50925931)
国家重点基础研究规划(973)资助项目(No.2009CB724604)
关键词
结构稳定
变形加固理论
弹塑性
有限元
structural stability
deformation reinforcement theory
elastoplasticity
finite elements
