Teaching Responsibility
LJMU Schools involved in Delivery:
Civil Engineering and Built Environment
Learning Methods
Lecture
Tutorial
Workshop
Module Offerings
7304CIV-SEP-CTY
7304CIV-SEP_NS-CTY
Aims
The module will introduce students to the finite element method and explore the underlying theory of finite element methods.
Students will investigate the performance and reliability of finite element methods in civil engineering applications, such as structural problems including material nonlinearity.
The theoretical aspects of the method will be covered in lectures - the module is intended to be practical in nature with students having the opportunity to practice via a range of tutorials and assignments using commercial finite element software.
Learning Outcomes
1.
Formulate element stiffness matrices and analyse simple structures using the direct stiffness method.
2.
Evaluate different material models and element types to approximate the behaviour of different materials and structures.
3.
Critically analyse fundamental concepts of the finite element theory.
4.
Apply commercial Finite Element Analysis software for linear and nonlinear analysis of structures.
5.
Critically apply elastoplastic constitutive models.
Module Content
Outline Syllabus:
Practical aspects of Finite Element Analysis including: Non-linear analysis. Planning the analysis. Element selection, plane stress, plane strain, brick elements, full integration, reduced integration, Geometric non linearity. Material non linearity. Managing the solution, incremental solution and convergence of results. Plastic behaviour in metals, von-Mises plasticity, available material models, elastic, perfectly plastic, elastic linear strain hardening, piecewise plasticity model. Hardening models, isotropic, kinematic. Practical application to plasticity problems. Implicit and explicit dynamics analysis, General dynamics analysis, direct integration, time steps. Application of explicit dynamics to pseudo static situations. Obtaining non-linear solutions, time and load steps, incremental analysis, Newton Raphson. Use of commercial finite element software to solve structural problems. Post processing and results checking. Review of available non-linear results, stress, strain, displacement, velocity, acceleration, primary and derived quantities etc. Interpretation of results, checking results, reaction forces, displaced shape, nodal and element plots, energy balance for explicit dynamics, hand calculations. Theoretical aspects of Finite Element Analysis including: Review of basic theory. Global stiffness matrix assembly and solution. Determination of element stiffness matrix by variational approach. Either minimum potential energy or virtual work. Application to 2 noded bar element. Element formulation, linear and quadratic, shape functions, implicit and explicit for two dimensional elements. Determination of element stiffness matrix.
Practical aspects of Finite Element Analysis including: Non-linear analysis. Planning the analysis. Element selection, plane stress, plane strain, brick elements, full integration, reduced integration, Geometric non linearity. Material non linearity. Managing the solution, incremental solution and convergence of results. Plastic behaviour in metals, von-Mises plasticity, available material models, elastic, perfectly plastic, elastic linear strain hardening, piecewise plasticity model. Hardening models, isotropic, kinematic. Practical application to plasticity problems. Implicit and explicit dynamics analysis, General dynamics analysis, direct integration, time steps. Application of explicit dynamics to pseudo static situations. Obtaining non-linear solutions, time and load steps, incremental analysis, Newton Raphson. Use of commercial finite element software to solve structural problems. Post processing and results checking. Review of available non-linear results, stress, strain, displacement, velocity, acceleration, primary and derived quantities etc. Interpretation of results, checking results, reaction forces, displaced shape, nodal and element plots, energy balance for explicit dynamics, hand calculations. Theoretical aspects of Finite Element Analysis including: Review of basic theory. Global stiffness matrix assembly and solution. Determination of element stiffness matrix by variational approach. Either minimum potential energy or virtual work. Application to 2 noded bar element. Element formulation, linear and quadratic, shape functions, implicit and explicit for two dimensional elements. Determination of element stiffness matrix.
Module Overview:
The module will introduce you to the finite element method and you will explore the underlying theory of finite element methods. You will investigate the performance and reliability of finite element methods in civil engineering applications, such as structural problems including material nonlinearity. The theoretical aspects of the method will be covered in lectures - the module is intended to be practical in nature so that you have the opportunity to practice via a range of tutorials and assignments using commercial finite element software.
The module will introduce you to the finite element method and you will explore the underlying theory of finite element methods. You will investigate the performance and reliability of finite element methods in civil engineering applications, such as structural problems including material nonlinearity. The theoretical aspects of the method will be covered in lectures - the module is intended to be practical in nature so that you have the opportunity to practice via a range of tutorials and assignments using commercial finite element software.
Additional Information:
The module will introduce students to the use of the finite element method and explore the underlying theory of finite element methods.
The module will introduce students to the use of the finite element method and explore the underlying theory of finite element methods.