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Thick composite design for hydrogen vessels : a contribution to composite design method

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(1)Science Arts & Métiers (SAM) is an open access repository that collects the work of Arts et Métiers Institute of Technology researchers and makes it freely available over the web where possible.. This is an author-deposited version published in: https://sam.ensam.eu Handle ID: .http://hdl.handle.net/10985/7761. To cite this version : Nicolas PERRY, Jean-Christophe WAHL, Christophe BOIS, Aurélie PILATO, Alain BERNARD Thick composite design for hydrogen vessels : a contribution to composite design method - CIRP Annals - Manufacturing Technology - Vol. 62, n°1, p.139–142 - 2013. Any correspondence concerning this service should be sent to the repository Administrator : [email protected].

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(12) ͸Ǧͻ͸ͿͻǦ Ǧ͹͹ͷͽͻ ”ƒ†‹‰ƒǡ ”ƒ ‡ ͹‡••‹‡”Ǧ—‰ƒ––‹Ǧ‘™–›ǡ Ǧͽ;ͷͺͶ±Ž‹œ›Ǧ‹ŽŽƒ ‘—„Žƒ›ǡ ”ƒ ‡ ͺ‹˜‡”•‹–±ǡ ‘Ž‡‡–”ƒŽ‡†‡ƒ–‡•ǡ

(13) ›ǦͼͻͿͽǡ Ǧͺͺ͹ͶͶƒ–‡•ǡ ”ƒ ‡. . „•–”ƒ –ǣ ›†”‘‰‡•–‘ ˜‡••‡Ž•ƒ††‡™’”‘†— –•’‡ ‹ˆ‹ ƒ–‹‘•„‡ ƒ—•‡‘ˆŠ‹‰Š‡”’”‡••—”‡—•‡Ǥ‘†ƒ›•–ƒ–‹ ƒ’’Ž‹ ƒ–‹‘Ž‡ƒ†•—’–‘͹ͲͲ„ƒ”•Ǥ —–’”‡••—”‡†‡˜‹ ‡•—•–”‡•‹•–ǡ„‡ ƒ—•‡‘ˆ ‡”–‹ˆ‹ ƒ–‹‘ǡƒ–͵–‹‡•’”‡••—”‡ȋʹͳͲͲ„ƒ”•ȌǤ‘’‘•‹–‡˜‡••‡Ž•‰‹˜‡ƒ–‡”‹ƒŽǦ•–”— –—”‡’‘–‡–‹ƒŽ •‘Ž—–‹‘•Ǥ—–†‡•‹‰‡”•ˆƒ ‡Ž‹‹–•‘ˆ‘™Ž‡†‰‡†—‡–‘ƒ –—ƒŽ‰‘‘†’”ƒ –‹ ‡•‘ˆ–Š‹  ‘’‘•‹–‡•–”— –—”‡•—•‡ǤŠ‹•’ƒ’‡”’”‡•‡–•Ž‡˜‡Ž•‘ˆ ‘™Ž‡†‰‡ ‡”‹ Š‡– ˆ‘” †‡•‹‰‡”• ȋ—Ž–‹Ǧ• ƒŽ‡ ‡š’‡”‹‡–• ƒ† ‘†‡Ž•Ȍǡ ƒƒŽ›•‹• ‘ˆ ’”‘ ‡•• ‹ˆŽ—‡ ‡ ‘ ‘†‡Ž• ‹’”‘˜‡‡–ǡ ƒ† ƒ †‹• —••‹‘ˆ‘”ƒ‡ˆˆ‹ ‹‡––‡•–‹‰•–”ƒ–‡‰›ȋ‡ƒ‹‰˜‹”–—ƒŽ–‡•–‹‰‹‘”†‡”–‘”‡†— ‡–Š‡—„‡”‘ˆ–‡•–•ƒ†–Š‡‹” ‘•–•ȌǤ  ‡›™‘”†•ǣ. ‘’‘•‹–‡ǡ‡•‹‰ǡ‹”–—ƒŽ–‡•–‹‰. . ͳǤ

(14) –”‘†— –‹‘ ‘†ƒ›ǡ ‘’‘•‹–‡ •–”— –—”‡ ‹• –Š‡ •‘Ž—–‹‘ ˆ‘” Š‹‰Š ’‡”ˆ‘”ƒ ‡• •–”— –—”‡•Ǥ ”ƒ•’‘”– ‹†—•–”› –—”‡† –Š‹• ƒ†˜ƒ–ƒ‰‡ˆ‘”Ž‹‰Š–‹‰•–”— –—”‡•ƒ†‘’–‹‹•‹‰•’‡ ‹ˆ‹ •–”‡‰–ŠǤ Š‡ ”‡•‡ƒ” Š‡”• ˆ‘ —• ‘ –Š‹ •–”— –—”‡• „‡Šƒ˜‹‘—” ’”‡†‹ –‹‘ ƒ† •‹œ‹‰Ǥ —– ‘–Š‡” ƒ’’Ž‹ ƒ–‹‘•ǡ •— Š ƒ• Š›†”‘‰‡ •–‘”ƒ‰‡ ˆ‘” ‡‡”‰›—•‡ǡ‹ ”‡ƒ•‡’”‘†— –”‡“—‹”‡‡–•ȋƒš‹—’”‡••—”‡Ȍ ‹ ‘”†‡” –‘ ‰‹˜‡ Š‹‰Š‡” ’‡”ˆ‘”ƒ ‡• ȋ•–‘”ƒ‰‡ ƒ’ƒ ‹–›ȌǤ ‘” ‡šƒ’Ž‡ǡŠ›†”‘‰‡’”‡••—”‡˜‡••‡ŽŽ‡ƒ†•—’–‘͹ͲͲ„ƒ”•‹•–ƒ–‹  ƒ’’Ž‹ ƒ–‹‘Ǥ Š‡ ˜‡••‡Ž ‡‡†• –‘ ’ƒ•• –Š‡ “—ƒŽ‹ˆ‹ ƒ–‹‘ ’”‡••—”‡ –‡•– ƒ– –Š”‡‡ –‹‡• –‘ –Š‡ ƒš‹— ‹Ǧ•‡”˜‹ ‡ ’”‡••—”‡Ǥ ‘•‡“—‡–Ž› –Š‡ •–”— –—”‡ —•– •—’’‘”– ʹͳͲͲ „ƒ”•Ǥ Ž› –Š‹  ‘’‘•‹–‡•‘Ž—–‹‘•ȋͶͲ–Š‹ ‡••Ȍ ƒ‰‹˜‡ ƒ’ƒ„Ž‡’”‘†— –•Ǥ —–ƒ –—ƒŽ‘™Ž‡†‰‡‹ ‘’‘•‹–‡†‡•‹‰‹•‘—–‘ˆ–Š‹•• ‘’‡ǡ †—‡–‘–Š‡–Š‹ ‡••‘ˆ–Š‡•‡•–”— –—”‡•Ǥ‡Šƒ˜‹‘—”‘†‡Ž••Š‘—Ž† „‡ ‡”‹ Š‡† –‘ ‘˜‡”’ƒ•• –Š‡ –Š‹ Žƒ›‡”• Š›’‘–Š‡•‹• –Šƒ– ƒ”‡ ‘ Ž‘‰‡””‡Ž‡˜ƒ–ȋ•— Šƒ•‘—–‘ˆ’Žƒ‡‡ˆˆ‡ –•‡‰Ž‡ –ƒ„Ž‡Ȍǡƒ†–‘ ‹–‡‰”ƒ–‡ ’”‘ ‡•• ’ƒ”ƒ‡–‡”• ‡ˆˆ‡ –• ‘ ƒ–‡”‹ƒŽ Ǧ •–”— –—”‡ ȏͳȐ ȋ–Š‹•–”— –—”‡Ž‹‹–•ˆ‘” ›Ž‹†”‹ ƒŽ•Šƒ’‡ǣ”ƒ†‹—•Ȁ–Š‹ ‡••εͳͲȌǤ ‘–Š‡” ŠƒŽŽ‡‰‡‡š‹•–•‹–Š‡‹–”‹•‹  ‘’‘•‹–‹‘‘ˆ ‘’‘•‹–‡ ’”‘†— –ǡ„‡ ƒ—•‡†ƒ–ƒƒ†‘†‡Ž•ƒ”‡ƒ˜ƒ‹Žƒ„Ž‡ƒ–†‹ˆˆ‡”‡–• ƒŽ‡• ȋˆ”‘ –Š‡ ˆ‹„”‡ Ǧ ƒ–”‹š ‹ ”‘ Ž‡˜‡Ž –‘ –Š‡ •–”— –—”ƒŽ ƒ••‡„Ž› ƒ ”‘ Ž‡˜‡ŽȌǤ Š‡ †‡•‹‰ •–ƒ”–• ˆ”‘ ƒ ‹ ”‘ Ž‡˜‡Ž Š‘‹ ‡ ȋˆ‹„”‡ ƒ†ƒ–”‹š Š‘‹ ‡ǡƒ†ˆ‹„”‡˜‘Ž—‡ˆ”ƒ –‹‘Ȍ–‘ƒ•–”— –—”ƒŽˆ‹ƒŽ †‡•‹‰ȋ•–ƒ ‹‰ǣ—„‡”‘ˆ’Ž‹‡•Ǧƒ‰Ž‡•Ǧ–Š‹ ‡••ȌǤ”ƒ•’‘”–• ‘ˆ ‘†‡Ž• ˆ”‘ ‘‡ • ƒŽ‡ –‘ ƒ‘–Š‡” Š‹‰ŠŽ‹‰Š– –Š‡ ‡‡†• ‘ˆ ‡š Šƒ‰‡• „‡–™‡‡ –Š‡ †‡•‹‰ ƒ† –Š‡ ƒ–‡”‹ƒŽ ƒ† •–”— –—”‡ Šƒ”ƒ –‡”‹œƒ–‹‘Ǥ —– –Š‹• ‹• –‹‡ ‘•—‹‰ ƒ† ‡š’‡•‹˜‡Ǥ

(15)  ‘”†‡” –‘ „‡ ‘•– ‡ˆˆ‹ ‹‡–ǡ ‹– ‹• ‡ ‡••ƒ”› –‘ ‡”‹ Š –Š‡ –Š‹  ‘’‘•‹–‡ ‘†‡Ž• ƒ† –‘ ‹’”‘˜‡ –Š‡ †‡•‹‰Ǥ ‡•‹‰‡”• ‡‡† ”‡Ž‡˜ƒ–‘†‡Ž•–‘—•‡˜‹”–—ƒŽ–‡•–‹‰ƒ†˜ƒŽ‹†ƒ–‹‘Ǥ Š‡ †‡•‹‰ ’ƒ”ƒ‡–‡”• ˆ‘” ˜‡••‡Ž ‘’–‹‹œƒ–‹‘ ȋ•‹œ‡ ƒ† ‘•–Ȍ ƒ”‡–Š‡ ‘’‘‡–•‡Ž‡ –‹‘ȋˆ‹„”‡ƒ†ƒ–”‹šȌƒ†–Š‡–Š‹ ‡•• ȋ•–ƒ ‹‰ ‘ˆ ™‘—†‡† Žƒ›‡”• ƒ” Š‹–‡ –—”‡ ‘•–”ƒ‹‡† „› –Š‡ ™‹†‹‰ ’”‘ ‡•• Ž‹‹–•ȌǤ Š‡ ˜‡••‡Ž •‹œ‡ ƒ† –Š‡ ƒš‹— ’”‡••—”‡ ‰‹˜‡ –Š‡ •–”‡‰–Š Ž‹‹– •—’’‘”–‡† „› –Š‡ •–”— –—”‡Ǥ

(16) –‡”ƒŽ ‡ƒ”Ž› ‹” —ˆ‡”‡–‹ƒŽ Žƒ›‡”• —•– •—’’‘”– ƒš‹ƒŽ. •–”‡••—’–‘ʹͷͲͲƒǤ‘†ƒ›ǡ ‘’‘•‹–‡ǯ•†‡•‹‰‡”•‘˜‡”•‹œ‡–Š‡ ˜‡••‡Ž•ǡ™‹–Š‘‡˜ƒŽ—ƒ–‹‘‘ˆ–Š‡‹”ƒ”‰‹ǤŠ‹•’ƒ’‡”’”‘’‘•‡• –‘ˆ‘ —•‘–Š‡‡šƒ –‡‡†‡† Šƒ”ƒ –‡”‹œƒ–‹‘‡‡†‡††—”‹‰–Š‡ †‡•‹‰ •–ƒ‰‡•Ǥ ‹˜‡ –Š‡ •’‡ ‹ˆ‹ ‹–› ‘ˆ –Š‡ ˆ‹Žƒ‡– ™‹†‹‰ ’”‘ ‡•• ȋˆ‹„”‡ –‡•‹‘ǡ —”‹‰ › Ž‡ǡ ™‹†‹‰ ’ƒ––‡”•ǡ •Šƒ’‡ ‘ˆ ’ƒ”–•ǥȌ ‹ ƒ –Š‹  ‘’‘•‹–‡ „ƒ ‰”‘—† ‹†— ‹‰ ’”‘’‡”–‹‡• ˜ƒ”‹ƒ„‹Ž‹–› ƒ† –Š‹ ‡•• ‰”ƒ†‹‡–ǡ ‹– ‹• ‡ ‡••ƒ”› –‘ ƒ• –Š‡ “—‡•–‹‘ ‘ˆ • ƒŽ‡ ƒ† ‰‡‘‡–”›ǡ ”‡Ž‡˜ƒ– –‘ –Š‡ Šƒ”ƒ –‡”‹œƒ–‹‘ ‘ˆ –Š‡ ‡ Šƒ‹ ƒŽ ’”‘’‡”–‹‡• ‘ˆ –Š‡ ‘’‘•‹–‡ ƒ–‡”‹ƒŽ ƒ† •–”— –—”‡Ǥ Š—•ǡ ‡ Šƒ‹ ƒŽ –‡•–• ˆ”‘ †‹ˆˆ‡”‡– •ƒ’Ž‡• ƒ”‡ ’‡”ˆ‘”‡† ȋ ‘—’‘• ‘‹‰ ˆ”‘ ’Žƒ–‡•ǡ •ƒŽŽ †‹ƒ‡–‡” ™‘—† –—„‡•ǡ ƒ† Žƒ”‰‡ †‹ƒ‡–‡” ™‘—† –—„‡•Ȍ „ƒ•‡† ‘ •–ƒ†ƒ”†‹œ‡† –‡•–•ǡ „—– ƒŽ•‘ ™‹–Š ƒ •’‡ ‹ˆ‹  –‡•–• ‡•’‡ ‹ƒŽŽ› †‡˜‡Ž‘’‡†Ǥ Š‡ ”‡•—Ž–• •Š‘™ –Šƒ– –Š‡”‡ ƒ „‡ ƒŒ‘” †‹ˆˆ‡”‡ ‡• ‹ –Š‡ ‡ Šƒ‹ ƒŽ ’”‘’‡”–‹‡• ‘„–ƒ‹‡† †‡’‡†‹‰ ‘ –Š‡ ‘—’‘ †‡ˆ‹‹–‹‘ ƒ† –‡•–‹‰ • ƒŽ‡Ǥ ‘•‡“—‡–Ž› –Š‡ •–”— –—”‡ •‹œ‹‰ †‡’‡†•‘–Š‡ƒ–‡”‹ƒŽ˜ƒ”‹ƒ„‹Ž‹–›ƒ†–Š‡’”‘ ‡••‹’ƒ –‘–Š‡ •–”— –—”‡ „‡Šƒ˜‹‘—”Ǥ ‹”•– –Š‡•‡ ’Š›•‹ ƒŽ ’Š‡‘‡ƒ •Š‘—Ž† „‡ ‹–‡‰”ƒ–‡† ‹ –Š‡ •‹—Žƒ–‹‘ ‘†‡Ž•ǡ –Š‡ ƒ ‘’–‹‹œƒ–‹‘ ‘ˆ –Š‡ •–”— –—”‡ˆ‘”ƒ••Ȁ ‘•–”‡†— –‹‘ ‘—Ž†„‡’‡”ˆ‘”‡†Ǥ ˆ–‡” ƒ ‹–”‘†— –‹‘ ‘ –Š‡ †‡•‹‰ Ǧ •‹œ‹‰ ‡–Š‘† ƒ† –Š‡ ’Š›•‹ ƒŽ ‘”‹‰‹ ‘ˆ –Š‡ †‹ˆˆ‡”‡ ‡• ‹ •‡ –‹‘ ʹǡ ™‡ ’”‘’‘•‡ ƒ ‘’”‡Š‡•‹˜‡ ƒ’’”‘ƒ Š –‘ Šƒ”ƒ –‡”‹œ‡ –Š‡ ‡ Šƒ‹ ƒŽ ’”‘’‡”–‹‡•‘ˆ ‘’‘•‹–‡™‘—†ƒ–‡”‹ƒŽƒ†•–”— –—”‡‹•‡ –‹‘ ͵ǤŠ‡”‡•—Ž–••Š‘™–Šƒ––Š‡’”‘ ‡••’ƒ”ƒ‡–‡”•‹’ƒ –•—•–„‡ ‹–‡‰”ƒ–‡†ǡ‘‘‡Šƒ†ǡ‹–Š‡•–”— –—”‡„‡Šƒ˜‹‘—”‘†‡Ž•ǡƒ†ǡ ‘ –Š‡ ‘–Š‡” Šƒ†ǡ ‹ –Š‡ †‡•‹‰ ”‹–‡”‹ƒ „ƒ•‡ ‘ˆ –Š‡ †‡•‹‰ ‡–Š‘†’”‡•‡–‡†‹•‡ –‹‘ͶǤ ʹǤ‡•‹‰ƒ†•‹œ‹‰‘ˆ ‘’‘•‹–‡•’”‡••—”‡˜‡••‡Ž• Š‡†‡•‹‰‘ˆ ‘’‘•‹–‡•™‘—†‡†’”‡••—”‡˜‡••‡Ž•”‡Ž‹‡•‘ǣ. • ‰‘‘†‘™Ž‡†‰‡‘ˆˆ‹Žƒ‡–™‹†‹‰’”‘ ‡••ǤŠ‹•’”‘ ‡••‹•. ƒ‹Ž› —•‡† ˆ‘” –Š‡ ”‡ƒŽ‹œƒ–‹‘ ‘ˆ ›Ž‹†”‹ ƒŽ ‘” ƒš‹•›‡–”‹  ’ƒ”–•ǡ ™‹–Š Ž‹––Ž‡ ƒ†ƒ’–ƒ–‹‘ ˆ‘” ’Žƒ–‡ ’ƒ‡Ž•Ǥ ‘—† •–”— –—”‡• ƒ”‡ ƒ†‡ „› •—’‡”’‘•‹–‹‘ ‘ˆ Š‘‘’ ™‹†‹‰ ƒ– ƒ ƒ‰Ž‡ ‡ƒ”Ž› ͻͲιǡ ƒ† Š‡Ž‹ ƒŽ ™‹†‹‰ ™‹–Š ƒ‰Ž‡ ˆ”‘ ͷι –‘ ͺͲιǤ

(17) †‡‡†ǡ –Š‡ Š‘‹ ‡‘ˆƒ™‹†‹‰ƒ‰Ž‡‹†— ‡•–Š‡‰‡‘‡–”›ǡ‡•’‡ ‹ƒŽŽ›‹–Š‡ †‘‡Ǥ

(18) ˆ‘’‡‹‰•ƒ”‡”‡“—‹”‡†‹–Š‡†‘‡ǡ†‡•‹‰‡”•Š‘—Ž† ˆ‹š.

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(910)  . WƌĞƐƐƵƌĞ sĞƐƐĞů dŚŝĐŬ tŽƵŶĚZŝŶŐ DĞĐŚĂŶŝĐĂů dĞƐƚŝŶŐ. tŽƵŶĚ ^ƚƌƵĐƚƵƌĞ DŽĚĞů. sĂůŝĚĂƚŝŽŶ. ! . ,ĞƚĞƌŽŐĞŶĞŽƵƐ ŵĂƚĞƌŝĂů. WŚLJƐŝĐĂů ĐŚĂƌĂĐƚĞƌŝƐ ĂƚŝŽŶ. ȏͳȐ —–‘™•‹ǡ Ǥǡ ƒǡ Ǥǡ ”‹ŽŽ‘ǡ Ǥǡ –‘ŽŽ‡”ǡ Ǥǡ —Šǡ ǤǤǡ ‘”‹‰ ƒŽ‹‰‡† ˆ‹„‡” ‘’‘•‹–‡•‹–‘ ‘’Ž‡š•Šƒ’‡•ǡ

(911) ƒŽ•Ȃƒ—ˆƒ –—”‹‰ ‡ Š‘Ž‘‰›ͶͲǦ ͳǡǤʹͻͳǡͳͻͻͳ. DŝĐƌŽŵĞĐŚĂŶŝĐƐ ŵŽĚĞů. dŚŝŶtŽƵŶĚLJůŝŶĚĞƌ. ȏʹȐ ‘—••‡ƒ—ǡ Ǥǡ Ǥ ‡””‡—šǡ ƒ† Ǥ ‡”†‹°”‡ǡ Š‡ ‹ˆŽ—‡ ‡ ‘ˆ ™‹†‹‰ ’ƒ––‡”• ‘ –Š‡ †ƒƒ‰‡ „‡Šƒ˜‹‘—” ‘ˆ ˆ‹Žƒ‡–Ǧ™‘—† ’‹’‡•Ǥ ‘’‘•‹–‡•  ‹‡ ‡ ƒ† ‡ Š‘Ž‘‰›ǡͷͻȋͻȌǣ’ǤͳͶ͵ͻǦͳͶͶͻǡͳͻͻͻ ȏ͵Ȑ ƒ•“—‡œǡ Ǥǡ ‡– ƒŽǤǡ ’–‹‹•ƒ–‹‘ ‘ˆ ‘’‘•‹–‡ Žƒ›‡” ˆ‘” ˆ—ŽŽ› ‘˜‡”™”ƒ’’‡†. ZĞĨĞƌĞŶĐĞ ĐŽŵƉŽƐŝƚĞ ŵĂƚĞƌŝĂů. tŽƵŶĚdƵďĞ. ’”‡••—”‡˜‡••‡Ž•ˆ‘”Š›†”‘‰‡•–‘”ƒ‰‡Ǥ‘ˆǤ”‘ ‡‡†‹‰•ͳʹǡʹͲͲ͸ ȏͶȐ ‡’‡”ǡǤǤƒ† ǤǤ ƒŠǡˆˆ‡ –‘ˆ”ƒ†‹ƒŽ•–”‡••”‡Žƒšƒ–‹‘‘ˆ‹„”‡•–”‡••‹. tŽƵŶĚWůĂƚĞ DŝĐƌŽŵĞĐŚĂŶŝĐƐ ŵŽĚĞů. ŽŶƐƚŝƚƵĞŶƚ.  . ˆ‹Žƒ‡– ™‹†‹‰ ‘ˆ –Š‹  ‘’‘•‹–‡•Ǥ ‘’‘•‹–‡• ƒ—ˆƒ –—”‹‰ǡ ͸ȋʹȌǣ ’Ǥ ͸͹Ǧ ͹͹ǡͳͻͻͷ. . ȏͷȐ ‘Š‡ǡǤǡ

(912) ˆŽ—‡ ‡‘ˆˆ‹Žƒ‡–™‹†‹‰’ƒ”ƒ‡–‡”•‘ ‘’‘•‹–‡˜‡••‡Ž“—ƒŽ‹–› ƒ†•–”‡‰–ŠǤ‘’‘•‹–‡•ƒ”–ǣ’’Ž‹‡† ‹‡ ‡ƒ†ƒ—ˆƒ –—”‹‰ǡʹͺȋͳʹȌǣ’Ǥ. 7  5+#   

(913)  . . ͳͲ͵ͷǦͳͲͶ͹ǡͳͻͻ͹ ȏ͸Ȑ ‡”–‹›ǡ Ǥ ƒ† Ǥ ŽŽ›‹ǡ

(914) ˆŽ—‡ ‡ ‘ˆ –Š‡ ˆ‹Žƒ‡– ™‹†‹‰ –‡•‹‘ ‘ ’Š›•‹ ƒŽ.   

(915) . ƒ† ‡ Šƒ‹ ƒŽ ’”‘’‡”–‹‡• ‘ˆ ”‡‹ˆ‘” ‡† ‘’‘•‹–‡•Ǥ ‘’‘•‹–‡• ƒ”– ǣ.  

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