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3.3.2 MOHR-COULOMB isotropic yield criterion Fig. 3-3 MOHR-COULOMB isotropic yield criterion The yield criterion is: where: ⎛ sinΘ sinϕ ⎞ = σ sinϕ + σ ⎜ ⎜cos Θ − ⎟ − c cosϕ ⎝ 3 ⎠ F m S (3-11) σx + σy + σz σ m = (3-12) 3 σ = I (3-13) S σF -σ1 -σ3 2 3 3 I3 sin( 3 Θ ) = − 3 2 (3-14) 2 I 2 σ1 = σ2 = σ3 σm hydrostatic stress I2 second invariant of the deviatoric main stresses I3 third invariant of the deviatoric main stresses Θ Lode-angle -σ2 -σ3 Θ = - 30° Θ = 30° compressive meridian (Θ = 30°) ϕ tensile meridian (Θ = - 30°) -σ2 -σ1 C τ σM 10 These yield criteria depend only on the two material parameters: cohesion c and inner friction angle ϕ USER’S MANUAL, January, 2013
Necessary material parameters in the ANSYS material model MOHR-COULOMB isotropic: ϕ – inner friction angle (phi) C – cohesion ft – tensile strength (in case of tension cut off) ψ – dilatancy angle (psi) The residual strength can be defined. The residual strength is initiated after the yield strength has been exceeded. The uniaxial compressive strength corresponds with the friction angle and cohesion as shown below: 2cosϕ ⎛ ϕ ⎞ = c = 2c tan⎜ 45 + ⎟ 1− sinϕ ⎝ 2 ⎠ f c (3-15) 11 USER’S MANUAL, January, 2013
Page 1 and 2: User’s Manual multiPlas Release 4
Page 3 and 4: CONTENT 1 INTRODUCTION.............
Page 5 and 6: 1 INTRODUCTION This manual describe
Page 7 and 8: 3 THEORY OF THE MULTIPLAS MATERIAL
Page 9: 3.3 Computed yield surfaces 3.3.1 I
Page 13 and 14: Residual strength can be defined. T
Page 15 and 16: interim values or blending with Moh
Page 17 and 18: -σm a) b) Fig. 3-10 Singular Druck
Page 19 and 20: This model guaranties a consistent
Page 21 and 22: Tab. 3-1 Temperature dependency of
Page 23 and 24: F1 (F11) Tension failure brick F2 (
Page 25 and 26: 3.3.8 Wood modelling using a boxed-
Page 27 and 28: Fig. 3-24 Stress-strain relation -
Page 29 and 30: 4 COMMANDS 4.1 Material Models LAW
Page 31 and 32: 4.2.2 LAW = 2 - Modified Drucker-Pr
Page 33 and 34: 4.2.4 LAW = 8 - Modified Drucker-Pr
Page 35 and 36: 4.2.5 LAW = 9 - Concrete 1 2 3 4 5
Page 37 and 38: 4.2.6 LAW = 11 - Fixed Crack Model
Page 39 and 40: tempd switch for temperature depend
Page 41 and 42: Overview input parameter of the rel
Page 43 and 44: 4.2.10 LAW = 40 - Geological Drucke
Page 45 and 46: 4.3 Numerical control variables eps
Page 47 and 48: The global load step bisection can
Page 49 and 50: Output for LAW 33: scale active yie
Page 51 and 52: Elements: Solid45 Load history: 1st
Page 53 and 54: Reference solution: Example 2 - Cal
Page 59 and 60: Equivalent plastic strain 59 USER
Page 61 and 62:
Total deformation usum (mm) Equival
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5.5 Example 10 - Concrete-model DRU
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5.6 Example 11 - Concrete-model DRU
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5.7 Example 12 - Masonry-model with
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5.9 Example 14 - Masonry-model with
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5.11 Example 16 - Masonry-model wit
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5.13 Example 18 - Masonry-model (LA
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5.15 Example 20 - Wood-model (LAW=3
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5.16 Example 21 - Wood-model (LAW=3
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5.17 Example 22 - Single Joint Shea
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6 REFERENCES [6-1] ANSYS Users Manu
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7 APENDIX USER INFERFACE - USERMPLS
Page 85 and 86:
85 USER’S MANUAL, January, 2013
Page 87:
Contact & Distributors Germany & wo
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