论文部分内容阅读
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。
The theory of deformation and reinforcement is the theory of elastoplastic structural stability, establishing the criterion of structural stability based on plastic residual energy and determining the effective reinforcement force to prevent structural instability. Deformation reinforcement theory is the core of the principle of the minimum plastic residual energy: the structure tends to plastic deformation of the smallest state of the least energy, that is self-bearing capacity, the minimum reinforcement of the deformation state. Improve the minimum plastic residual energy principle of proof, and put forward the minimum residual energy principle of the elastic-plastic structure steady state. Clarify the development of finite element method of deformation reinforcement theory: reveal the unbalance force and modify the physical connotation of Newton-Raphson algorithm. Comparing the theory of deformation and reinforcement with that of the rigid body limit equilibrium method, it is clarified that its engineering significance is the development of the resistance system adopted in the design. The reinforcement completely describes the difference between the action and the resistance.