Computational Modeling of Concrete Structures: This course presents in a systematic way the evolution of microplane and lattice-particle model formulations for the simulation of the behavior of quasi-brittle materials, in general, and, more in particular, of aging and deteriorating concrete structures. The addressed topics are of interest to graduate students, post-doctoral associates, researchers, and professional engineers who need to become proficient with the use of modern, effective and versatile constitutive equations for the simulation of strain-softening and damage.
The objective of this course is to introduce graduate and senior undergraduate students to advanced topics on the mechanics of quasi-brittle materials and aging concrete. Students will do this by building on the knowledge gained through all mechanics related courses of the undergraduate curriculum (statics, mechanics of materials, concrete design, etc.). Upon successful completion of the course, students will have an advanced understanding of concrete behavior as well as knowledge of specific modeling theories that can be used for the numerical simulation of concrete structures and other quasi-brittle materials. Having successfully completed this course, students will have the necessary skills to conduct concrete research as well as to solve advanced concrete design problems.
concrete, computational modelling, quasi-brittle materials, constitutive equations
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
|Course schedule||Required learning|
|Class 1||Topic 1 • Introduction • Continuum and discrete theories in solid mechanics Topic 2 • The Lattice Discrete Particle Model (LDPM) fundamentals • LDPM implementation and MARS • LDPM calibration and validation with quasi-static tests • Application to reinforced concrete Topic 3 • LDPM-F for the simulation of fiber reinforced concrete • Modeling of Ultra High Performance Concrete (UHPC) • Application to projectile penetration Topic 4 • Derivation of microplane model from particle models: high-order microplane formulation. Topic 5 • Derivation of microplane model from particle models: high-order microplane formulation, Cont. • Isogeometric implementation Topic 6 • Applications, hands-on activity, Q&A session Topic 7 • Microplane model for Cauchy continuum: kinematically constrained and statically constrained formulations • Elastic behavior and double constraint, numerical integration • Simple formulations for softening Topic 8 • Mathematical homogenization Topic 9 • Mathematical homogenization, Cont. • Application to ASR • Application to coarse graining Topic 10 • Applications, hands-on activity, Q&A session||TBA|
Final take-home exam
Basic knowledge of continuum and structural mechanics. Basic knowledge of the finite element method.