With the successful conclusion of the course, the students will be able to:
1) Formulate and solve an elastoplastic problem of loading of a medium and calculate stresses and strains.
2) Select yield criterion depending on the material, formulate the elastoplastic stiffness matrix and the algorithm of the elastoplastic loading.
3) Formulate and solve limit analysis problems for the calculation of failire loads of structures.
4) Describe, fromulate and solve problems of determining the elastoplastic response of a variety of structures (surface and spatial) to static loads, using the finite element method.
5) Αnalyze and solv problems of elastoplastic static analysis of spatial framed structures with the use of specialized software.
Course Content (Syllabus)
Qualitative description of plasticity concept. The physics of plastic deformation in ductile materials. Plasticity criteria, Drucker’s axioms and constitutive laws. Applications to plane-strain problems.
Theorems of limit analysis and applications of static and kinematic method. Step by step solution method to analyze flat (2D) frames.
Plasticity of brittle materials, rocks and concrete. Constitutive laws and their applications.
Uniaxial inelastic constitutive material laws. Hysteresis loops.
Synoptic matrix formulation of mathematical relations of the plasticity theory. Elasticity law, yield criteria, hardening law, incremental formulation of constitutive mathematical relations.
Plasticization models of finite elements.
Numerical methods for solving non-linear static and dynamic problems. Applications to problems of calculating the elastoplastic response of structures with the use of the SAP2000 software package.
Also, within the frame of the course, the students elaborate mandatory homework.