Coursecode: wb1309
Coursename: Mechanics of Materials 3

DUT creditpoints: 1,8 (0,2 for exercises)
ECTS creditpoints: 3

Faculty of Mechanical Engineering and Marine Technology

Lecturer(s): Keulen, prof.dr.ir. A. van

Tel.: 015-27 86515

Catalog data:
Plate bending, finite elements, buckling, stability, geometrically nonlinear, Newton processes, incremental-iterative procedures, plasticity, hardening, collapse theorems

Course year:
Semester:
Hours p/w:
Other hours:
Assessment:
Assessm.period(s):
(see academic calendar)

Prerequisites: wb1208, wb1209

Follow up: wb1305

Detailed description of topics:

• Summary of continuum mechanics
• Summary of virtual work and minimum of potential energy
• Plate bending theory
• Classical laminated plate theory
• Approximations based on potential energy
• Finite elements for plate bending
• Description of buckling phenomena
• Initial post-buckling and stability
• Buckling of discrete systems
• Buckling with linear pre-buckling solution
• Anisotropic material behaviour
• Nonlinear elastic material behaviour
• Plasticity
• Elastic-ideally plastic material model
• Drucker's postulate
• Hardening (kinematic and isotropic)
• Collapse

Course material: Reader

References from literature:

• Koiter, W.T., Stijfheid en Sterkte I/Grondslagen
• Fung, Y.C., Foundations of Solid Mechanics, Prentice-Hall, Inc., New Jersey (1965)
• Timoshenko, S.P. en Woinowsky-Krieger, S., Theory of Plates and Shells, Second Edition McGraw-Hill Book Company, Inc., New York, 1959
• Washizu, K., Variational Methods in Elasticity and Plasticity, Third Edition, Pergamon, 198
• Pignataro, M., Rizzi, N. en Luongo, A., Stability, bifurcation and postcritical behaviour of elastic
  structures, Developments in civil engineering, 39, Elsevier, 1991
• Timoshenko, S.P., Gere, J.M., Theory of elastic stability, Second Edition, McGraw-Hill, 1981
• Bazant, Z.P. en Cedolin, L., Stability of structures; elastic, inelastic, fracture and damage theories,
  Oxford University Press, 1991

Remarks (specific information about assesment, entry requirements, etc.):
Before participation in the examination, it is strongly recommended to finish the course work.

Goals:
The present course targets at a better understanding of mechanical phenomena, particularly nonlinear ones. An important aspect is to gain knowledge of different methods for modeling and their restrictions. The course will provide hands-on experience in modeling nonlinear static problems using commercial finite element software. Throughout the lecture the emphasis will be on the practical relevance and the implications for design processes.

Computer use:
The course work exercises must be completed partly by using the ANSYS finite element program. Students are encouraged to use the ANSYS student edition at home.

Laboratory project(s):
Computer project.

Design content:
The topics presented in the present course are essential for design processes.

Percentage of design: 40%