{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,30]],"date-time":"2026-07-30T12:16:14Z","timestamp":1785413774354,"version":"3.56.0"},"reference-count":38,"publisher":"MDPI AG","issue":"14","license":[{"start":{"date-parts":[[2026,7,22]],"date-time":"2026-07-22T00:00:00Z","timestamp":1784678400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12494564"],"award-info":[{"award-number":["12494564"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"award":["12494564"],"award-info":[{"award-number":["12494564"]}],"id":[{"id":"https:\/\/ror.org\/01h0zpd94","id-type":"ROR","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Materials"],"abstract":"<jats:p>Deployable reflector antennas demand high geometric precision; the Ruze equation directly links surface error to RF gain. Arc-shaped CFRP ribs are vulnerable to thermal deformation, as their curvature converts in-plane expansion into out-of-plane displacement, which symmetric laminates cannot suppress. Classical laminate theory (CLT) underestimates the coefficient of thermal expansion (CTE) of cross-ply laminates by factors of 1.75\u20132.38 for the laminate configurations investigated in this study, causing up to 79.4% of displacement prediction errors in symmetric designs. Here, we present an asymmetric laminate that overcomes both limitations. The upper skin (nine plies) and lower\/web skins (seven plies) from the same prepreg batch create a CTE mismatch (\u0394\u03b1 = 6.30 \u00d7 10\u22127 K\u22121), activating coupling stiffness to generate a thermal moment opposing curvature-driven displacement. Because both skins share identical batch history, CTE prediction errors cancel through common-mode rejection. Compared with the symmetric design, the asymmetric design achieved a 50.4% reduction in thermal deformation (from 210 \u00b5m to 104 \u00b5m) and improved FEA accuracy from 79.4% error to 4.8% error under experimental schemes. The method uses only conventional 0\/90\u00b0 prepreg and standard autoclave processing, with the upper-surface ply count as the sole design variable for a given section\u2019s geometry, establishing retained coupling stiffness as a practical route to dimensional stability in curved space structures.<\/jats:p>","DOI":"10.3390\/ma19143137","type":"journal-article","created":{"date-parts":[[2026,7,22]],"date-time":"2026-07-22T09:20:39Z","timestamp":1784712039000},"page":"3137","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Bimaterial Beam Strategy for Suppressing Thermal Deformation of Arc-Shaped CFRP Ribs via Asymmetric Laminate Design"],"prefix":"10.3390","volume":"19","author":[{"given":"Yonggang","family":"Xue","sequence":"first","affiliation":[{"name":"College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"},{"name":"Xi\u2019an Institute of Space Radio Technology, Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaofei","family":"Ma","sequence":"additional","affiliation":[{"name":"College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China"},{"name":"Xi\u2019an Institute of Space Radio Technology, Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yonggang","family":"Fang","sequence":"additional","affiliation":[{"name":"Xi\u2019an Institute of Space Radio Technology, Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dayu","family":"Zhang","sequence":"additional","affiliation":[{"name":"Xi\u2019an Institute of Space Radio Technology, Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jialong","family":"Zhu","sequence":"additional","affiliation":[{"name":"Xi\u2019an Institute of Space Radio Technology, Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pengbo","family":"Su","sequence":"additional","affiliation":[{"name":"Xi\u2019an Institute of Space Radio Technology, Xi\u2019an 710100, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2026,7,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Kim, H.G., Kim, D.G., Do, R.H., Koo, K.R., and Yu, Y.J. (2024). Development of Deployable Reflector Antenna for the SAR-Satellite: Part 1. Design and Analysis of the Main Reflector Using Honeycomb Sandwich Composite Structure. Appl. Sci., 14.","DOI":"10.3390\/app14041590"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Seijas, D., Varela, M.O., Chopra, C., Dimce, S., and Stoll, E. (2025). Enabling very low-cost smallsat communications: A simple 3D printed S-band dielectric resonator antenna. CEAS Space J., 1\u201318.","DOI":"10.1007\/s12567-025-00679-8"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1109\/JPROC.2018.2804664","article-title":"Advanced Antennas for Small Satellites","volume":"106","author":"Gao","year":"2018","journal-title":"Proc. IEEE"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"125323","DOI":"10.1016\/j.applthermaleng.2024.125323","article-title":"Thermal design exploration of flexible and lightweight antenna structures through design of experiments","volume":"264","author":"Mitchao","year":"2025","journal-title":"Appl. Therm. Eng."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Gibson, R.F. (2007). Principles of Composite Material Mechanics, CRC Press. [4th ed.].","DOI":"10.1201\/9781420014242"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"657","DOI":"10.1007\/BF02749982","article-title":"Composite materials for aerospace applications","volume":"22","author":"Mangalgiri","year":"1999","journal-title":"Bull. Mater. Sci."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"4423","DOI":"10.1007\/s12206-016-0905-z","article-title":"Sensitivity analysis of thermal deformation of CFRP laminate reflector due to fiber orientation error","volume":"30","author":"Tanaka","year":"2016","journal-title":"J. Mech. Sci. Technol."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"262","DOI":"10.1016\/j.compositesa.2016.10.018","article-title":"Processing, structure, and properties of carbon fibers","volume":"91","author":"Newcomb","year":"2016","journal-title":"Compos. Part A Appl. Sci. Manuf."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1134\/S002189442670001X","article-title":"Thermochemical Erosion of Carbon Composite Materials in Solid-Propellant Rig Tests","volume":"67","author":"Berdov","year":"2026","journal-title":"J. Appl. Mech. Tech. Phys."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/s42114-026-01714-w","article-title":"Prediction of process-induced deformation in CFRP multispar flaps using sequentially coupled thermomechanical analysis considering fabric patterns and stacking sequences","volume":"9","author":"Kim","year":"2026","journal-title":"Adv. Compos. Hybrid Mater."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1520\/MPC20170117","article-title":"On the Oxidative Ablation and Mechanical Properties of T300 Carbon Fibers at Elevated Temperatures","volume":"7","author":"Liu","year":"2018","journal-title":"Mater. Perform. Charact."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"104325","DOI":"10.1016\/j.tafmec.2024.104325","article-title":"Dynamic crack propagation in variable stiffness composite laminates under thermal shock","volume":"130","author":"Esfarjani","year":"2024","journal-title":"Theor. Appl. Fract. Mech."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"102564","DOI":"10.1016\/j.coco.2025.102564","article-title":"Design of carbon fiber-reinforced composite laminates with near-zero coefficient of thermal expansion and extension-twisting coupling","volume":"59","author":"Cui","year":"2025","journal-title":"Compos. Commun."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"012004","DOI":"10.1088\/1742-6596\/3067\/1\/012004","article-title":"Research on lower expansion design of composite structures for satellite","volume":"3067","author":"Liu","year":"2025","journal-title":"J. Phys. Conf. Ser."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"109","DOI":"10.5937\/fmet2001109M","article-title":"Optimization of Kerf Deviations in Pulsed Nd:YAG Laser Cutting of Hybrid Composite Laminate Using GRA","volume":"48","author":"Mishra","year":"2020","journal-title":"FME Trans."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"722","DOI":"10.1108\/EC-05-2024-0443","article-title":"Effects of geometrical and material properties on the buckling behavior of hybrid laminated composite plates using differential quadrature approach","volume":"42","year":"2025","journal-title":"Eng. Comput."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1007\/s42493-025-00144-y","article-title":"Thermal Buckling Optimization of Variable-Stiffness Composite Laminates Under Manufacturing Constraints Using Multi-Fidelity Surrogate Model","volume":"8","author":"Xu","year":"2026","journal-title":"Multiscale Sci. Eng."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Liu, Q., Wang, X., Guan, Z., Li, Z., and Yang, L. (2025). Ply Optimization of Composite Laminates for Processing-Induced Deformation and Buckling Eigenvalues Based on Improved Genetic Algorithm. Materials, 18.","DOI":"10.3390\/ma18020345"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"107321","DOI":"10.1016\/j.compositesa.2022.107321","article-title":"A review on prediction and control of curing process-induced deformation of continuous fiber-reinforced thermosetting composite structures","volume":"165","author":"Wang","year":"2023","journal-title":"Compos. Part A Appl. Sci. Manuf."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Do, R.-H., Kim, H.-G., Kim, D.-G., and Koo, K.-R. (2025). Development of Deployable Reflector Antenna for the SAR Satellite: Part 4\u2014Thermal Analysis-Assumed Orbital Environment Using Well-Correlated Antenna Assembly Model Based on Thermal Balance Test. Appl. Sci., 15.","DOI":"10.3390\/app152111766"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/s00340-024-08180-6","article-title":"In-orbit thermal deformation monitoring for composite laminated structures of remote sensing satellites using temperature self-decoupling fiber optical system and inverse finite element method","volume":"130","author":"Yuan","year":"2024","journal-title":"Appl. Phys. B"},{"key":"ref_22","first-page":"25","article-title":"Research on properties of TWF composite materials for space antenna","volume":"40","author":"Li","year":"2020","journal-title":"China Space Sci. Technol."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/s40997-018-0246-x","article-title":"Analytical Solution for Large Deflection of Multilayered Composite Cantilever Beams with Interlayer Slip","volume":"44","author":"Rajendran","year":"2020","journal-title":"Iran. J. Sci. Technol. Trans. Mech. Eng."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"62","DOI":"10.3221\/IGF-ESIS.59.05","article-title":"Finite element modeling of flexural behavior of reinforced concrete beams externally strengthened with CFRP sheets","volume":"16","author":"Madqour","year":"2022","journal-title":"Fract. Struct. Integr."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1364\/JOSA.11.000233","article-title":"Analysis of Bi-Metal Thermostats","volume":"11","author":"Timoshenko","year":"1925","journal-title":"J. Opt. Soc. Am."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2743","DOI":"10.1016\/0020-7683(93)90152-W","article-title":"Theories and analyses of thin and moderately thick laminated composite curved beams","volume":"30","author":"Qatu","year":"1993","journal-title":"Int. J. Solids Struct."},{"key":"ref_27","first-page":"65","article-title":"Equivalent model and calculation method of mechanical property parameters of shell-membrane structure","volume":"17","author":"Zhou","year":"2020","journal-title":"Space Electron. Technol."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1007\/s11041-020-00462-y","article-title":"Effect of Low-Temperature Treatment on the Structure and Physical Properties of Castable Carbon-Containing Invar Alloys","volume":"61","author":"Chermenskii","year":"2020","journal-title":"Met. Sci. Heat Treat."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"105591","DOI":"10.1016\/j.tafmec.2026.105591","article-title":"Experimental and numerical studies of mode I\/II fracture in CFRP\/STP hybrid laminates considering thermal effects","volume":"144","author":"Tang","year":"2026","journal-title":"Theor. Appl. Fract. Mech."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Sayyed, J., Acharya, P., Hegde, S., Bolar, G., Shetty, M., I.V., T.R., and N.H., P. (2025). Thermal Influence on the Mechanical Performance and Deformation Characteristics of Symmetric and Asymmetric GFRP Laminates. J. Compos. Sci., 9.","DOI":"10.3390\/jcs9110636"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"De la Cruz, M.T., Gamboa, R.G.P., Dalisay, J.D.E., Raguindin, R.K.M., and Magdaluyo, E.R. (2025). Development and Feasibility Assessment of a Sequential Antenna Deployment System Based on Fiber-Reinforced Shape Memory Polymer Composites. Polymers, 17.","DOI":"10.3390\/polym17202797"},{"key":"ref_32","first-page":"505","article-title":"Analytical optimization and test validation of the submicron dimensional stability of the CHEOPS space telescope\u2019s CFRP structure","volume":"9912","author":"Blecha","year":"2016","journal-title":"Proc. SPIE"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"121087","DOI":"10.1016\/j.jclepro.2020.121087","article-title":"Manufacturing variability drives significant environmental and economic impact: The case of carbon fiber reinforced polymer composites in the aerospace industry","volume":"261","author":"Chang","year":"2020","journal-title":"J. Clean. Prod."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"9919","DOI":"10.1364\/AO.577718","article-title":"Thermal deformation measurement of an aluminum alloy telescope model under periodic temperature modulation","volume":"64","author":"Wang","year":"2025","journal-title":"Appl. Opt."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/j.actaastro.2023.01.034","article-title":"Predicted thermal response of a deployable high-strain composite telescope in low-Earth orbit","volume":"205","author":"Viquerat","year":"2023","journal-title":"Acta Astronaut."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"20250043","DOI":"10.1515\/cls-2025-0043","article-title":"Finite element-based size optimization of composite fuselage frames for aerospace structures","volume":"13","author":"Chairunnisa","year":"2026","journal-title":"Curved Layer. Struct."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"95","DOI":"10.3901\/JME.2022.19.095","article-title":"Deployment Dynamics of a Novel Tension-Rod Structure","volume":"58","author":"Zhang","year":"2022","journal-title":"J. Mech. Eng."},{"key":"ref_38","first-page":"880","article-title":"Coupling Dynamics Analysis of Rod-Cable Antenna Deployment","volume":"43","author":"Zhang","year":"2022","journal-title":"J. Astronaut."}],"container-title":["Materials"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1996-1944\/19\/14\/3137\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,22]],"date-time":"2026-07-22T09:26:33Z","timestamp":1784712393000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1996-1944\/19\/14\/3137"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7,22]]},"references-count":38,"journal-issue":{"issue":"14","published-online":{"date-parts":[[2026,7]]}},"alternative-id":["ma19143137"],"URL":"https:\/\/doi.org\/10.3390\/ma19143137","relation":{},"ISSN":["1996-1944"],"issn-type":[{"value":"1996-1944","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,7,22]]}}}