ANSYS工程分析
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• A material is said to be isotropic if it has the same material properties along any directions in the body.
• Otherwise it is said to be anisotropic. • An anisotropic material is said to be orthotropic, if the planes
Elastic vs. Plastic
(a)
Stress
Stress
Strain (b)
Strain (c)
Elastic materials
(a) Nonlinear elastic (b) Hysteresis elastic (c) Linear Elastic
Stress
Strain 18
ANSYS工程分析
tensile strength, i.e.,
29 ANSYS工程分析
4.5.3 延展性材料的破壞準則 (1/2)
Failure Criteria for Ductile Materials
Tresca Failure Criteria: • Yielding will occur when shear stress is greater than shear
Exercise: Geometric Nonlinearity
2 ANSYS工程分析
第4.1節
•學科領域與元素類別 •Disciplines and Element Types
3 ANSYS工程分析
4.1.1 學科領域
• 結構分析 Structural Analysis • 熱傳分析 Thermal Analysis • 流場分析 Fluid Dynamic Analysis • 電場分析 Electric Field Analysis • 磁場分析 Magnetic Field Analysis • 耦合場分析 Coupled-field Analysis
• Dynamic effects can be neglected only when the deformation velocity and acceleration are small.
• Two cases:
• Steady-state solution • approximation solution for a real-world problem.
11 ANSYS工程分析
4.2.5 諧和反應分析
Harmonic Response Analysis
• Harmonic response analysis is to analysis a structure under periodic excitation of external forces.
4.4.2 彈性與塑性 (2/2)
Elastic vs. Plastic
Plastic materials
Strain
19 ANSYS工程分析
Stress
Stress
4.4.3 黏滯性與非黏滯性(1/3)
Viscous vs. Nonviscous
Nonvisous materials
Time
Time
ANSYS工程分析
2020/10/29
ANSYS工程分析
Contents
4.1 學科領域與元素類別
Disciplines and Element Types
4.2 分析類別
Analysis Types
4.3 線性分析與非線性分析
Linear Analysis and Nonlinear Analysis
線性
非線性 塑性
材料模式名稱 線性彈性材料 非線性彈性材料 超彈性材料
塑性材料 線性黏彈材料
非線性黏彈材料 黏塑性材料
26 ANSYS工程分析
第4.5節
•材料的破壞準則 •Failure Criteria of Materis
27 ANSYS工程分析
4.5.1 延展性與脆性材料
Ductile vs. Brittle
20 ANSYS工程分析
Strain
Stress
4.4.3 黏滯性與非黏滯性(2/3)
Viscous vs. Nonviscous
Visous materials
Time
Time
21 ANSYS工程分析
Strain
4.4.3 黏滯性與非黏滯性(3/3)
Viscous vs. Nonviscous
• Otherwise it is said to be heterogeneous. • Note that, homogeneousness does not necessarily imply
isotropy.
23 ANSYS工程分析
4.4.5 等向性、非等向性、與正交性材料 (1/2)
Isotropic, Anisotropic, and Othothropic Materials
Strain
Stress
Strain
Time
Time
Creeping
Stress
Time
Time
Stress Relaxation
22 ANSYS工程分析
4.4.4 均質性與非均質性材料
Homogeneous vs. Heterogeneous
• A material body is said to be homogeneous if it has uniform material properties everywhere in the body.
• The solutions typically include maximum responses under various frequencies of external forces
12 ANSYS工程分析
第4.3節
•線性分析與非線性分析 •Linear Analysis and Nonlinear Analysis
Element Types
• ANSYS elements are classified according to • Discipline • Dimensionality • Geometry • Order
• Example • SOLID45: 3D hexahedral linear structural element • PLANE67: 2D quadralateral linear coupled thermal-electric element
4.3.2 非線性分析
Nonlinear Analysis
• Geometric nonlinearity • Material nonlinearity • Status nonlineaity
15 ANSYS工程分析
第4.4節
•材料模式 •Material Models
16 ANSYS工程分析
6 ANSYS工程分析
第4.2節
•分析類別 •Analysis Types
7 ANSYS工程分析
4.2.1 分析類別
Analysis Types
Static Analysis Dynamic Analysis
Transient Analysis Modal Analysis Harmonic Response Analysis etc.
etc.
8 ANSYS工程分析
4.2.2 暫態分析
Transient Analysis
• Inertia forces • Damping forces • Elastic forces • External forces
9 ANSYS工程分析
4.2.3 靜態分析
Static Analysis
• When dynamic effects can be neglected, a problem can be solved statically.
4 ANSYS工程分析
4.1.2 耦合場分析
• Example 1: Thermal Stress Analysis • Example 2: Structure-Fluid Interactions • Example 3: Thermal Actuator
5 ANSYS工程分析
4.1.3 元素類別
13 ANSYS工程分析
Responses
4.3.1 線性分析
Linear Analysis
Loads
• Small deformation • Hooke’s law appies • No status or topological
changes, eg., contacts
14 ANSYS工程分析
Ductile Material
Brittle Material
Stress Stress
Strain
Strain
28 ANSYΒιβλιοθήκη 工程分析4.5.2 脆性材料的破壞準則
Failure Criteria for Brittle Materials
Maximum Principal Stress Failure Criteria: • Fracture will occur when tensile stress is greater than ultimate
Hooke’s Law for Anisotropic Material
Hooke’s Law for Orthotropic Material
25 ANSYS工程分析
4.4.6 ANSYS材料模式
ANSYS Material Models
非黏滯性 材料
黏滯性 材料
材料分類 彈性
線性 非線性
彈性
塑性
4.4.1 材料模式
Material Models
• Material models are mathematically represented by a set of equations called constitutive equations.
• The constitutive equations describe the relations between stresses and strains (or strain rates).
Buckling Analysis
Structural Analysis
Static, Transient, Modal, Harmonic, Buckling, etc.
Thermal Analysis
Steady-state, Transient
Electric Field Analysis
Static, Transient, Modal, Harmonic
10 ANSYS工程分析
4.2.4 模態分析
Modal Analysis
• Modal analysis is to analysis a structure under free vibration. • The solutions typically include
• Vibration frequencies (or periods) • Vibration modes
of material symmetry are mutually orthogonal.
24 ANSYS工程分析
4.4.5 等向性、非等向性、與正交性材料 (2/2)
Isotropic, Anisotropic, and Othothropic Materials
Hooke’s Law for Isotropic Material
• The parameters in the constitutive equations are called material parameters.
• ANSYS provides many material models to be chosen from.
17 ANSYS工程分析
4.4.2 彈性與塑性 (1/2)
4.4 材料模式
Material Models
4.5 材料的破壞準則
Failure Criteria of Materials
4.6 實例: 動態分析
Example: Dynamic Analysis
4.7 實例: 非線性分析
Example: Nonlinear Analysis
4.8 練習題: 幾何非線性
yield strength, i.e.,
or
30 ANSYS工程分析
4.5.3 延展性材料的破壞準則 (2/2)
Failure Criteria for Ductile Materials
• Otherwise it is said to be anisotropic. • An anisotropic material is said to be orthotropic, if the planes
Elastic vs. Plastic
(a)
Stress
Stress
Strain (b)
Strain (c)
Elastic materials
(a) Nonlinear elastic (b) Hysteresis elastic (c) Linear Elastic
Stress
Strain 18
ANSYS工程分析
tensile strength, i.e.,
29 ANSYS工程分析
4.5.3 延展性材料的破壞準則 (1/2)
Failure Criteria for Ductile Materials
Tresca Failure Criteria: • Yielding will occur when shear stress is greater than shear
Exercise: Geometric Nonlinearity
2 ANSYS工程分析
第4.1節
•學科領域與元素類別 •Disciplines and Element Types
3 ANSYS工程分析
4.1.1 學科領域
• 結構分析 Structural Analysis • 熱傳分析 Thermal Analysis • 流場分析 Fluid Dynamic Analysis • 電場分析 Electric Field Analysis • 磁場分析 Magnetic Field Analysis • 耦合場分析 Coupled-field Analysis
• Dynamic effects can be neglected only when the deformation velocity and acceleration are small.
• Two cases:
• Steady-state solution • approximation solution for a real-world problem.
11 ANSYS工程分析
4.2.5 諧和反應分析
Harmonic Response Analysis
• Harmonic response analysis is to analysis a structure under periodic excitation of external forces.
4.4.2 彈性與塑性 (2/2)
Elastic vs. Plastic
Plastic materials
Strain
19 ANSYS工程分析
Stress
Stress
4.4.3 黏滯性與非黏滯性(1/3)
Viscous vs. Nonviscous
Nonvisous materials
Time
Time
ANSYS工程分析
2020/10/29
ANSYS工程分析
Contents
4.1 學科領域與元素類別
Disciplines and Element Types
4.2 分析類別
Analysis Types
4.3 線性分析與非線性分析
Linear Analysis and Nonlinear Analysis
線性
非線性 塑性
材料模式名稱 線性彈性材料 非線性彈性材料 超彈性材料
塑性材料 線性黏彈材料
非線性黏彈材料 黏塑性材料
26 ANSYS工程分析
第4.5節
•材料的破壞準則 •Failure Criteria of Materis
27 ANSYS工程分析
4.5.1 延展性與脆性材料
Ductile vs. Brittle
20 ANSYS工程分析
Strain
Stress
4.4.3 黏滯性與非黏滯性(2/3)
Viscous vs. Nonviscous
Visous materials
Time
Time
21 ANSYS工程分析
Strain
4.4.3 黏滯性與非黏滯性(3/3)
Viscous vs. Nonviscous
• Otherwise it is said to be heterogeneous. • Note that, homogeneousness does not necessarily imply
isotropy.
23 ANSYS工程分析
4.4.5 等向性、非等向性、與正交性材料 (1/2)
Isotropic, Anisotropic, and Othothropic Materials
Strain
Stress
Strain
Time
Time
Creeping
Stress
Time
Time
Stress Relaxation
22 ANSYS工程分析
4.4.4 均質性與非均質性材料
Homogeneous vs. Heterogeneous
• A material body is said to be homogeneous if it has uniform material properties everywhere in the body.
• The solutions typically include maximum responses under various frequencies of external forces
12 ANSYS工程分析
第4.3節
•線性分析與非線性分析 •Linear Analysis and Nonlinear Analysis
Element Types
• ANSYS elements are classified according to • Discipline • Dimensionality • Geometry • Order
• Example • SOLID45: 3D hexahedral linear structural element • PLANE67: 2D quadralateral linear coupled thermal-electric element
4.3.2 非線性分析
Nonlinear Analysis
• Geometric nonlinearity • Material nonlinearity • Status nonlineaity
15 ANSYS工程分析
第4.4節
•材料模式 •Material Models
16 ANSYS工程分析
6 ANSYS工程分析
第4.2節
•分析類別 •Analysis Types
7 ANSYS工程分析
4.2.1 分析類別
Analysis Types
Static Analysis Dynamic Analysis
Transient Analysis Modal Analysis Harmonic Response Analysis etc.
etc.
8 ANSYS工程分析
4.2.2 暫態分析
Transient Analysis
• Inertia forces • Damping forces • Elastic forces • External forces
9 ANSYS工程分析
4.2.3 靜態分析
Static Analysis
• When dynamic effects can be neglected, a problem can be solved statically.
4 ANSYS工程分析
4.1.2 耦合場分析
• Example 1: Thermal Stress Analysis • Example 2: Structure-Fluid Interactions • Example 3: Thermal Actuator
5 ANSYS工程分析
4.1.3 元素類別
13 ANSYS工程分析
Responses
4.3.1 線性分析
Linear Analysis
Loads
• Small deformation • Hooke’s law appies • No status or topological
changes, eg., contacts
14 ANSYS工程分析
Ductile Material
Brittle Material
Stress Stress
Strain
Strain
28 ANSYΒιβλιοθήκη 工程分析4.5.2 脆性材料的破壞準則
Failure Criteria for Brittle Materials
Maximum Principal Stress Failure Criteria: • Fracture will occur when tensile stress is greater than ultimate
Hooke’s Law for Anisotropic Material
Hooke’s Law for Orthotropic Material
25 ANSYS工程分析
4.4.6 ANSYS材料模式
ANSYS Material Models
非黏滯性 材料
黏滯性 材料
材料分類 彈性
線性 非線性
彈性
塑性
4.4.1 材料模式
Material Models
• Material models are mathematically represented by a set of equations called constitutive equations.
• The constitutive equations describe the relations between stresses and strains (or strain rates).
Buckling Analysis
Structural Analysis
Static, Transient, Modal, Harmonic, Buckling, etc.
Thermal Analysis
Steady-state, Transient
Electric Field Analysis
Static, Transient, Modal, Harmonic
10 ANSYS工程分析
4.2.4 模態分析
Modal Analysis
• Modal analysis is to analysis a structure under free vibration. • The solutions typically include
• Vibration frequencies (or periods) • Vibration modes
of material symmetry are mutually orthogonal.
24 ANSYS工程分析
4.4.5 等向性、非等向性、與正交性材料 (2/2)
Isotropic, Anisotropic, and Othothropic Materials
Hooke’s Law for Isotropic Material
• The parameters in the constitutive equations are called material parameters.
• ANSYS provides many material models to be chosen from.
17 ANSYS工程分析
4.4.2 彈性與塑性 (1/2)
4.4 材料模式
Material Models
4.5 材料的破壞準則
Failure Criteria of Materials
4.6 實例: 動態分析
Example: Dynamic Analysis
4.7 實例: 非線性分析
Example: Nonlinear Analysis
4.8 練習題: 幾何非線性
yield strength, i.e.,
or
30 ANSYS工程分析
4.5.3 延展性材料的破壞準則 (2/2)
Failure Criteria for Ductile Materials