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Detailed Micro-Modelling of Masonry under Blast and Earthquake Loads - - PowerPoint PPT Presentation
Detailed Micro-Modelling of Masonry under Blast and Earthquake Loads - - PowerPoint PPT Presentation
University of the German Armed Forces Munich Faculty of Civil and Environmental Engineering Institute of Engineering Mechanics & Structural Mechanics Laboratory of Engineering Informatics Univ.-Prof. Dr.-Ing. habil. N. Gebbeken Detailed
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Types of Masonry
Materials – Assembly – big variety
clay – adobe quarry stones clinker bricks concrete
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Failure modes of masonry
Bending-Failure Shear-Failure Failure due to high vertical load
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Failure Modes of Masonry
- Failure of the masonry
units under tension or compression
- Shear failure of the bed
joint
- Tensile failure of the
masonry units or mortar joints
- Failure under compression
- f the masonry units
because of lateral tension
- “stairway” failure of the
joints
- Biaxial failure of the
masonry units
Horizontal uniaxial loading Vertical uniaxial loading Biaxial loading
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Failure Mechanism due to lateral deformation of the joints
Jacketed projectiles with hard cores (Silling 2007)
Tension Compression
sx / sy
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Failure mechanism horizontal Load
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Modelling Masonry - Strategies
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Elements of a dynamic material model strength model
elastic limit yield surface residual strength Equation of State influence of pressure – volumetric strain rate dependent effects of loading rate damage Model decrease of shear modulus and strength pressure shear
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Material models for Masonry Ganz„s model
- macro model
- several fracture surfaces
- in plane loadings of the wall
Lourenço„s material model: Mohr-Coulomb with „Tension Cut Off“
Lourenco and Rots Journal Engineering Mechanics 1997 [LOURENCO and ROTS 1997] [GANZ 1985]
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Mortar - residual material strength – compressive meridian sv sr
Fracture strenght residual strenght residual strenght depends
- n the stress state!
[BIERWIRTH 1995]
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Mortar - residual material strength – shear meridian
Fracture strenght residual strenght vertical load displacement
[WALLNER 2008]
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Mortar - residual material strength – shear meridian
[WALLNER 2008]
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Mortar - residual material strength
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Fracture surface for mortar Functions to interpolate between meridians
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Mortar - dynamic material properties – HAO‟s tests
DIF – Dynamic Increase Factor strain rate
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Material model Masonry Unit William-Warnke strength model with „Tension Cut Off“ Strain rate dependent (Hao) Residual resistance controlled by damage Model Damage Model is based on actual and maximal plastic Strain Equation of State Linear EOS
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Own material tests Objective: Create a Database to be able to characterize different masonry units rapidly Tests on single units:
- Uniaxial compression with cyclic loading
- Tension-, Bending-, Wedge-cleaving-test
- Density / Porosity
- Wave speed
Tests on masonry specimens: 5 units with 4 mortal joints
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Numerical Simulation of Masonry Walls
different support conditions can be taken into account Shear failure Bending failure Combined Failure Mechanism
Support conditions play an important role!
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Institute of Engineering Mechanics & Structural Mechanics Laboratory for Engineering Informatics Professor Dr.-Ing.habil. Norbert Gebbeken
Numerical simulation of Blast Tests
Masonry in steel frame Different thicknesses Different masonry types Loaded by blast wave Objective: Realistic results with numerical simulations
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