Users:General FEM Analysis/Elements Reference/Membrane NURBS
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| − | + | == General Description == | |
| + | === Element Type === | ||
| + | |||
| + | * This membrane element is an isotropic plane stress element accounting for prestress | ||
| + | * The membrane element neglects bending stiffness | ||
| + | * The ratio of the thickness and the lengths in the other two directions is much smaller than one ( t/Lx << 1 and t/Ly << 1), the membrane is reduced to its mid-surface | ||
| + | * The thickness is constant over the element | ||
| + | |||
| + | An extensive description of the element can be found in <ref name="Phi16">B. Philipp, M. Breitenberger, I. D’Auria, R.Wüchner, and | ||
| + | K.-U. Bletzinger. "Integrated design and analysis of structural | ||
| + | membranes using the Isogeometric B-Rep Analysis." In: Computer | ||
| + | Methods in AppliedMechanics and Engineering 303 (May 2016), | ||
| + | pp. 312–340. DOI: 10.1016/j.cma.2016.02.003.</ref> | ||
=== Example of a Complete Input Block === | === Example of a Complete Input Block === | ||
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A_X=1.0 A_Y=0.0 A_Z=0.0 !AREA FOR THE DEFINITION OF THE PRESTRESS | A_X=1.0 A_Y=0.0 A_Z=0.0 !AREA FOR THE DEFINITION OF THE PRESTRESS | ||
B_X=0.0 B_Y=1.0 B_Z=0.0 !VECTOR A AND VECTOR B DEFINE THE AREA | B_X=0.0 B_Y=1.0 B_Z=0.0 !VECTOR A AND VECTOR B DEFINE THE AREA | ||
| − | <pre> | + | </pre> |
The possibility for oriented anisotropic prestress fields is foreseen, yet no distortion control as for the classical FEM Membrane1-element is implemented. | The possibility for oriented anisotropic prestress fields is foreseen, yet no distortion control as for the classical FEM Membrane1-element is implemented. | ||
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* form-finding of a four-point sail with with B-Rep edge cables and elastic columns as supports: ..\examples\benchmark_examples\isogeometric\iga_formfinding_4point_with_trusses\cbm_4PointSailwTrusses.txt | * form-finding of a four-point sail with with B-Rep edge cables and elastic columns as supports: ..\examples\benchmark_examples\isogeometric\iga_formfinding_4point_with_trusses\cbm_4PointSailwTrusses.txt | ||
* static geometrically non-linear analysis of a prestressed single-patch membrane with fixed boundaries: ..\examples\benchmark_examples\isogeometric\iga_membrane_nln_1\cbm_iga_membrane_nln_1.txt | * static geometrically non-linear analysis of a prestressed single-patch membrane with fixed boundaries: ..\examples\benchmark_examples\isogeometric\iga_membrane_nln_1\cbm_iga_membrane_nln_1.txt | ||
| + | |||
| + | == References == | ||
| + | |||
| + | <references/> | ||
Revision as of 08:48, 13 January 2017
Contents |
General Description
Element Type
- This membrane element is an isotropic plane stress element accounting for prestress
- The membrane element neglects bending stiffness
- The ratio of the thickness and the lengths in the other two directions is much smaller than one ( t/Lx << 1 and t/Ly << 1), the membrane is reduced to its mid-surface
- The thickness is constant over the element
An extensive description of the element can be found in [1]
Example of a Complete Input Block
EL-PROP 1 : MEMBRANE_NURBS MAT= EL-MAT 1 THICKNESS= 1.0 INT_TYPE_MEMBRANE_NURBS = FULL !or USER PROJECTED_PRESTRESS=1 SIG11=400.0 SIG22=400.0 SIG12=0.0 A_X=1.0 A_Y=0.0 A_Z=0.0 !AREA FOR THE DEFINITION OF THE PRESTRESS B_X=0.0 B_Y=1.0 B_Z=0.0 !VECTOR A AND VECTOR B DEFINE THE AREA
The possibility for oriented anisotropic prestress fields is foreseen, yet no distortion control as for the classical FEM Membrane1-element is implemented.
Tests and Benchmarks
The element Membrane_NURBS has successfully been applied in 3D in various geometrically non-linear static applications, as well as in form-finding.
Benchmark examples
- form-finding of a four-point sail with with B-Rep edge cables and elastic columns as supports: ..\examples\benchmark_examples\isogeometric\iga_formfinding_4point_with_trusses\cbm_4PointSailwTrusses.txt
- static geometrically non-linear analysis of a prestressed single-patch membrane with fixed boundaries: ..\examples\benchmark_examples\isogeometric\iga_membrane_nln_1\cbm_iga_membrane_nln_1.txt
References
- ↑ B. Philipp, M. Breitenberger, I. D’Auria, R.Wüchner, and K.-U. Bletzinger. "Integrated design and analysis of structural membranes using the Isogeometric B-Rep Analysis." In: Computer Methods in AppliedMechanics and Engineering 303 (May 2016), pp. 312–340. DOI: 10.1016/j.cma.2016.02.003.
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