Easurements of cold rolling texture. Further -Timolol Technical Information system for future studies on anisotropy generation and prediction connected to the cold improvement of your also a analysis framework may consist of adding feedback of cold rolling procedure. It’s currentpotential option to experimental measurementsfrom therolling texture. Additional improvement of the current analysis framework could involve adding feedback in the micro scale towards the macro scale (e.g., adopting an anisotropic constitutive model at the macro scale and calculating the anisotropic parameters using the predicted texture at the micro scale because the feedback) for multi-scale evaluation, which willMaterials 2021, 14,14 ofmicro scale towards the macro scale (e.g., adopting an anisotropic constitutive model at the macro scale and calculating the anisotropic parameters using the predicted texture at the micro scale as the feedback) for multi-scale analysis, that will be the concentrate of our future studies.Author Contributions: Data curation, H.W.; formal evaluation, H.W.; funding acquisition, J.Y.; inMaterials 2021, 14, x FOR PEER Critique 15 ofvestigation, H.W. and T.T.; methodology, H.W.; software, S.D.; supervision, J.Y.; validation, S.D.; writing–original draft, H.W.; writing–review and GW9662 Protocol editing, S.D., T.T. and J.Y. All authors have read and agreed to the published version of your manuscript. writing–original draft, H.W.; writing–review and editing, S.D., T.T. and J.Y. All authors have read Funding: This investigation received no externalmanuscript. and agreed towards the published version in the funding. Institutional Review Board Statement: Not applicable. Funding: This investigation received no external funding. Informed Consent Statement: Not applicable. Institutional Evaluation Board Statement: Not applicable. Data Availability Statement: The information presented in this study are obtainable on request from the Informed Consent Statement: Not applicable. corresponding author. Data Availability Statement: The information presented within this study are obtainable on request in the Conflicts of Interest: The authors declare no conflict of interest. corresponding author.Conflicts of Interest: Function with the First-Order Brick Element Appendix A. Shape The authors declare no conflict of interest. Appendix A. Shape Function from the First-Order Brick Element node numbering is shown inside the first-order brick element with eight nodes (localFigure A1)first-order brick model thewith eight nodes The shape function from the first-order The was adopted to element cold-rolled plate. (regional node numbering is shown in brick element in the all-natural coordinate system is given by:The shape function of your firstFigure A1) was adopted to model the cold-rolled plate.order brick element in natural coordinate system is provided by: the (1) N (1 – g)(1 – h)(1 – r) N (2) (1 -)(1 -)(1 -) (1 – g)(1 h)(1- r) N (three) (1 (1 – g)(1 h) – )(1)(1 -)(1 r) (four (1)(1 )(1 ) – N ) = 1 (1 – g)(1 – h)(1 r) (A1) N= – (five =N) 1 (1)(1 -)(1 -)(1- r) eight (1 g)(1 h) = (A1) (1)(1 -)(1 -) N) 8 (6 (1 g)(1 h)(1- r) (7 N ) (1 g)(1 h) (1 )(1)(1 -)(1 r)) (1 )(1)(1 -)(1 r))(1 h) (1 g N (eight (1 )(1 -)(1 ) exactly where gi hi , and ri areare the coordinatesnode i inithethe organic coordinate method. exactly where , , , as well as the coordinates of of node in organic coordinate method.Figure A1. Neighborhood node numbering of your first-order brick element in the organic coordinate method. Figure A1. Nearby node numbering in the first-order brick element in the all-natural coordinate system. Appendix B. Regional.
