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Introduction to Finite Element Methods - Lifeng Wang
Chapter 6 Development of the Plane
Stress and Plane Strain Equations
MEC 539
Instructor: Dr. Lifeng Wang
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2D Plane
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2D PlaneLinear Triangular Element
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2D PlaneLinear Triangular Element
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2D PlaneLinear Triangular Element
cofactor method
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2D PlaneLinear Triangular Element
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2D PlaneLinear Triangular Element
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2D PlaneLinear Triangular Element
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2D PlaneLinear Triangular Element
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2D PlaneLinear Triangular Element
Define the Strain/Displacement and
Stress/Strain Relationships
constant-strain triangle (CST)
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2D PlaneLinear Triangular Element
Define the Strain/Displacement and
Stress/Strain Relationships
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2D PlaneLinear Triangular Element
Define the Strain/Displacement and
Stress/Strain Relationships
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2D PlaneLinear Triangular Element
Define the Strain/Displacement and
Stress/Strain Relationships
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2D PlaneLinear Triangular Element
Define the Strain/Displacement and
Stress/Strain Relationships
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2D PlaneLinear Triangular Element
Derive the Element Stiffness Matrix and Equations
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2D PlaneBody forces
Concentrated loads
Surface loads
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2D PlaneLinear Triangular Element
Derive the Element Stiffness Matrix and Equations
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2D Plane
Explicit expression, plane strain, (6.4.3)
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2D Plane
Break (10 minutes)!
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2D PlaneExample 6.1
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2D Plane
=
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2D PlaneExample
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2D Plane
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2D Planelinear-strain triangular (LST) element
The LST element has six nodes and twelve unknown
displacement
degrees of freedom. The displacement functions for the element
are
quadratic instead of linear (as in the CST).
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2D PlaneExample (LST and CST)
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In-Class Exercises
In-Class Exercises (turn in before you leave)
1)
2)
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Homework # 86.10(a,c), 6.13, 6.20
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Homework # 86.10(a,c), 6.13, 6.20
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Homework # 86.10(a,c), 6.13, 6.20
