A comparison between a recursive method based on an inverse mechanical formulation and shape optimization for solving inverse form finding problems in isotropic elastoplasticity

PAMM ◽  
2014 ◽  
Vol 14 (1) ◽  
pp. 423-424
Author(s):  
Sandrine Germain ◽  
Philipp Landkammer ◽  
Paul Steinmann
Keyword(s):  
Shape Optimization ◽  
Recursive Method ◽  
Form Finding ◽  
Inverse Form ◽  
Mechanical Formulation

A Fast Approach to Shape Optimization Using the Inverse FEM

2014 ◽  
Vol 611-612 ◽  
pp. 1404-1410 ◽  
Author(s):  
Philipp Landkammer ◽  
Paul Steinmann
Keyword(s):  
Inverse Method ◽  
Spatial Configuration ◽  
Weak Form ◽  
Forming Process ◽  
Form Finding ◽  
Forming Simulation ◽  
Inverse Form ◽  
Blank Design ◽  
Mechanical Formulation ◽  
Optimal Material

Inverse form finding aims to determine the optimum blank design of a workpiece whereby the desired spatial configuration that shall be obtained after a forming process, the boundary conditions and the applied loads are known. As a verification of the optimal material configuration a subsequent direct FEM computation has to result in the desired shape of the deformed workpiece. In this contribution the inverse FEM, which formulates the mechanical weak form in the spatial configuration and solves it with respect tothe material configuration, is used to obtain an admissible blank configuration. An example of applying this inverse method to a contact forming simulation is presented.To this end a FE-code applicable to use the inverse mechanical formulation is coupled with the commercial software MSC.Mentat. In the inverse computation the contact problem is approximated by displacement control.

Improvements on a non-invasive, parameter-free approach to inverse form finding

2017 ◽  
Vol 61 (4) ◽  
pp. 433-447 ◽  
Author(s):  
P. Landkammer ◽  
M. Caspari ◽  
P. Steinmann
Keyword(s):  
Form Finding ◽  
Non Invasive ◽  
Inverse Form

scholarly journals On Inverse Form Finding For Anisotropic Materials

PAMM ◽  
2010 ◽  
Vol 10 (1) ◽  
pp. 159-160 ◽  
Author(s):  
Sandrine Germain ◽  
Michael Scherer ◽  
Paul Steinmann
Keyword(s):  
Anisotropic Materials ◽  
Form Finding ◽  
Inverse Form

Form-finding and shape optimization of bio-inspired branching structures based on graphic statics

Structures ◽  
2021 ◽  
Vol 29 ◽  
pp. 392-407
Author(s):  
Chao Xu ◽  
Zhengzhong Wang ◽  
Baohui Li ◽  
Quanhong Liu
Keyword(s):  
Shape Optimization ◽  
Form Finding ◽  
Branching Structures ◽  
Graphic Statics
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