Sub-global equilibrium method for identification of elastic parameters based on digital image correlation results

• Published in: Archives of Civil and Mechanical Engineering Vol. 24; no. 3; p. 169
• Main Authors: Nowak, Marcin, Szeptyński, Paweł, Musiał, Sandra, Maj, Michał
• Format: Journal Article
• Language: English
• Published: London Springer London 06.06.2024; Springer Nature B.V
• Subjects: Algorithms; Austenitic stainless steels; Carbon fiber reinforced plastics; Civil Engineering; Composite materials; Deformation; Digital imaging; Engineering; Equilibrium; Equilibrium equations; Equilibrium methods; Error analysis; Fiber reinforced polymers; Finite element method; Homogenization; Identification; Interferometry; Internal forces; Material properties; Mechanical Engineering; Methods; Model updating; Original Article; Parameter identification; Structural Materials; Identification of material constant; Finite element analysis; Linear elasticity; Digital image correlation; Nelder–Mead downhill simplex algorithm; Optimization
• ISSN: 2083-3318; 1644-9665; 2083-3318
• DOI: 10.1007/s43452-024-00979-6

In this work, a new, simple method is presented, which enables identification of material properties of solids basing on the digital image correlation (DIC) measurements. It may be considered as a simplified alternative of low computational complexity for the well-known finite element model updating (FEMU) method and virtual fields method (VFM). The idea of the introduced sub-global equilibrium (SGE) method is to utilize the fundamental concept and definition of internal forces and its equilibrium with appropriate set of external forces. This makes the method universal for the use in the description of a great variety of continua. The objective function is the measure of imbalance, namely the sum of squares of residua of equilibrium equations of external forces and internal forces determined for finite-sized part of the sample. It is then minimized with the use of the Nelder–Mead downhill simplex algorithm. The efficiency of the proposed SGE method is shown for two types of materials: 310 S austenitic steel and carbon-fiber-reinforced polymer (CFRP). The proposed method was also verified based on FE analysis showing error estimation.