6505-12 - Stress-Strain Relationship: d ε /dt = (d σ...

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1 Topic to be covered • Modeling of viscoelastic behavior of concrete Stress-strain of concrete when loaded at different speeds Strain versus time plots from creep tests on a concrete at ages of 28 and 90 days 28 days 90 days Stress held constant
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2 Stress versus time plots from relaxation tests on a concrete at ages of 28, 60 and 90 days Strain held constant Stress Versus Time Plot in a Creep Test A constant stress is held Strain versus Time Plot in a Relaxation Test Strain is held constant
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3 Stress-Strain Relationship: σ = E ε Linear Spring Strain response of the linear spring in the creep test Strain Time Stress response of the linear spring in the relaxation test Stress Time
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4 Linear Viscous Dashpot Stress-Strain Relationship: d ε /dt = σ / η Strain Response of the dashpot in the creep test Strain Time ε = σ o t / η Stress response of the dashpot in the relaxation test Stress Time Stress is released instantaneously
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5 Maxwell Model
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Unformatted text preview: Stress-Strain Relationship: d ε /dt = (d σ /dt)/E + σ / η Strain response of the Maxwell model in the creep test Strain Time ε = σ o / E + σ o t / η Stress response of the Maxwell model in the relaxation test e-Et/ η 6 Kelvin Model E η Stress-Strain Relationship: σ = E ε + η d ε /dt Strain response of the Kelvin model in the creep test ε = ( σ o / E) (1 - e-Et/ η ) Stress response of the Kelvin model in a relaxation test where strain is held constant 7 Standard Solid Model E 1 E 2 η Strain Response of Standard Solid Model in the Creep Test Time Stress Response of the Standard Solid Model in the Relaxation Test 8 Burgers Model E 2 η 2 1 1 Strain Response of the Burgers Model in the Creep Test ε = σ o /E 1 + ( σ o / E 2 ) (1 - e-E 2 t/ η 2 ) + σ o t / η 1 Stress Response of the Burgers Model in the Relaxation Test...
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This note was uploaded on 05/26/2011 for the course CGN 6505 taught by Professor Mang during the Spring '11 term at University of Florida.

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6505-12 - Stress-Strain Relationship: d ε /dt = (d σ...

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