᭤ࡆ࡜ࡏࢇ᩿ࢆཷࡅࡿ㕲➽ࢥࣥࢡ࣮ࣜࢺ㐀ᱱࡢࡦࡧ๭ࢀ㛫㝸࡜ࡦࡧ๭ࢀᖜ Space and Width of Cracks on Reinforced Concrete Beams under

᭤ࡆ࡜ࡏࢇ᩿ࢆཷࡅࡿ㕲➽ࢥࣥࢡ࣮ࣜࢺ㐀ᱱࡢࡦࡧ๭ࢀ㛫㝸࡜ࡦࡧ๭ࢀᖜ Space and Width of Cracks on Reinforced Concrete Beams under

Shear and Flexural Loads

㧗ᶫ அ*

Susumu Takahashi

Summary

Recently, life-time of concrete structures is prolonged. In terms of maintenance, to estimate residual cracks is important for reducing running cost of concrete structures because wide residual cracks must be repaired by epoxy resin and so on. In this research, an experimental study was conducted on three reinforced concrete beams to investigate the space and the width of cracks on concrete beams where the flexural capacity of these three beams are same. The test parameter is the number and the diameter of main reinforcing bars. The residual cracks of a beam with large reinforcing bars (less number of reinforcing bars are used compared with other two beams) were wider than other two beams. This result indicates that running cost of concrete beams is different even if the flexural capacities of the beams are same.

࣮࣮࢟࣡ࢻ㸸㕲➽ࢥࣥࢡ࣮ࣜࢺ㐀ᱱ, ࡦࡧ๭ࢀᖜ, ࡦࡧ๭ࢀ㛫㝸, ⿵ಟ, ௜╔

Keywords㸸reinforced concrete beam, crack width, crack space, repair, bond.

㸬ࡣࡌࡵ࡟

㏆ᖺ㕲➽ࢥࣥࢡ࣮ࣜࢺ㐀ᘓ≀ࡢ㛗ᑑ࿨໬࡟క࠸

ᘓ≀ࡢ౑⏝ᛶࡸಟ᚟ᛶࡀ㔜せ࡜࡞ࡗ࡚࠸ࡿࠋ㕲➽ࢥ

ࣥࢡ࣮ࣜࢺ㐀ᘓ≀ࡢ⪏㟈ᛶ⬟ホ౯ᣦ㔪࣭ྠゎㄝ

࡛ࡣ 㕲 ➽ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ 㐀 ᘓ ≀ ࡢ ౑ ⏝ 㝈 ⏺ ಟ ᚟ 㝈 ⏺ Ϩ ᑠ つ ᶍ ࡞ ⿵ ಟ ࡀ ᚲ せ ࢆ ࡑ ࢀ ࡒ ࢀ ṧ ␃ ࡦ ࡧ ๭ ࢀ ᖜ PPPP࡛ᐃ⩏ࡋ࡚࠸ࡿࠋ

୍᪉㕲➽ࢥࣥࢡ࣮ࣜࢺ㐀㒊ᮦࡢࡦࡧ๭ࢀᖜࡸࡦ ࡧ๭ࢀ㛫㝸࡟ࡘ࠸࡚ࡣ:DWVWHLQ

ࡸゅ⏣

ࡀᘬᙇຊ ࡀస⏝ࡋ࡚࠸ࡿᱱࢆᑐ㇟࡟᳨ウࡋ࡚࠾ࡾࡲࡓ㕲

➽ࢥࣥࢡ࣮ࣜࢺᵓ㐀ィ⟬つ‽࣭ྠゎㄝ

࡟ࡣ㛗ᮇⲴ㔜

ࢆཷࡅࡿ㒊ᮦࡢࡦࡧ๭ࢀ࡟㛵ࡍࡿ᳨ウ᪉ἲࡀグ㍕ࡉ

ࢀ࡚࠸ࡿࡀ▷ᮇⲴ㔜᫬ࡢᛂຊࢆ᝿ᐃࡋࡓ㒊ᮦ࡟ࡘ

࠸࡚ࡣ◊✲஦౛ࡀᑡ࡞࠸ࠋ㕲➽ࢥࣥࢡ࣮ࣜࢺ㐀ᘓ≀

ࡢ⪏㟈ᛶ⬟ホ౯ᣦ㔪࣭ྠゎㄝ࡛ࡶᴟࡵ࡚ᑡ࡞࠸ヨ㦂 య࠿ࡽࡦࡧ๭ࢀᮏᩘࢆ௬ᐃࡋࡦࡧ๭ࢀᖜࢆィ⟬ࡍ

ࡿ᪉ἲࢆᑟࡁฟࡋ࡚࠸ࡿࠋ

ࡑࡇ࡛ᮏ◊✲࡛ࡣ᭤ࡆ࡜ࡏࢇ᩿ࢆྠ᫬࡟ཷࡅࡿ

㕲➽ࢥࣥࢡ࣮ࣜࢺ㐀ᱱࢆᑐ㇟࡟ࡦࡧ๭ࢀᖜ࡜ࡦࡧ

๭ࢀ㛫㝸ࢆㄪᰝࡍࡿࡇ࡜ࢆ┠ⓗ࡜ࡋ࡚ᐇ㦂ࢆ⾜ࡗࡓࠋ

㸬ᐇ㦂ᴫせ

ヨ㦂య

ヨ㦂యࡣ㕲➽ࢥࣥࢡ࣮ࣜࢺ㐀ᱱࡢ ࢆ᝿ᐃࡋࡓ

⦰ᑻᶍᆺ࡛࠶ࡾࢫࣃࣥࡢ༙ศࢆᑐ㇟࡜ࡋࡓࠋᐇ㦂 ኚᩘࡣ୺➽ࡢ㕲➽ᚄ࠾ࡼࡧᮏᩘ࡜ࡋヨ㦂యᩘࡣィ య࡛࠶ࡿࠋᅗ ࡟ヨ㦂యࡢᙧ≧࠾ࡼࡧ㓄➽ࢆ♧ࡍࠋ ᱱ᩿㠃ࡣ඲ヨ㦂య࡛ඹ㏻࡛࠶ࡾᱱᖜࡀ PPᱱ

㸨

኱ྠ኱ᏛᕤᏛ㒊ᘓ⠏Ꮫ⛉ᘓ⠏ᑓᨷ

大同大学紀要　第 53 巻（2017）

ࡏ࠸ࡣ PP ࡛࠶ࡿࠋᡴタࡢ᪉ྥ࡟ࡼࡾࡦࡧ๭ࢀⓎ

⏕࡟ᙳ㡪ࡍࡿྍ⬟ᛶࡀ࠶ࡿࡓࡵᱱࡢഃ㠃࠿ࡽࢥࣥ

ࢡ࣮ࣜࢺࢆᡴタࡋࡓࠋ

౑⏝ࡋࡓ㕲➽ࡢᮦᩱヨ㦂⤖ᯝࢆ⾲ ࡟♧ࡍࠋࢥࣥ

ࢡ࣮ࣜࢺࡣᮦ㱋 ᪥࡟ᮦᩱヨ㦂ࢆ⾜࠸ᅽ⦰ᙉᗘࡀ 1PP

ࣖࣥࢢಀᩘࡀ N1PP

࡛࠶ࡗࡓࠋ࡞

࠾ࡇࢀࡽࡢ್ࡣ ᮏᖹᆒࡢ್࡛࠶ࡿࠋ ຍຊ᪉ἲ

ᅗ ࡟ ຍ ຊ ⿦ ⨨ ࢆ ♧ ࡍ ࠋヨ 㦂 య ࡣ ᱱ ࡢ ༙ ศ ࢆ ᝿ ᐃ ࡋ ࡚ 〇 స ࡋ ࡚ ࠾ ࡾ ຍ ຊ ࡣ ∦ ᣢ ࡕ ᱱ ᙧ ᘧ ࡛ ⾜ ࡗ ࡓ ࠋ

ኚ ᙧ ゅ 㸣 ࡲ ࡛ ࡣ ኚ ఩ ไ ᚚ ࡟ ࡼ ࡾ ṇ ㈇ ஺ ␒ ⧞

ࡾ ㏉ ࡋ ㍕ Ⲵ ࢆ ⾜ ࠸ ࡑ ࡢ ᚋ ኚ ᙧ ゅ 㸣 ࡲ ࡛

'LDPHWHU <LHOGVWUHQJWK 1PP

<RXQJ’VPRGXOXV N1PP

'

'

'

'

ヨ㦂య ' ' '

᭤ࡆᙉᗘ N1 N1 N1 ࡏࢇ᩿ᙉᗘ N1 N1 N1

ࡏࢇ᩿వ⿱ᗘ

ᘬᙇ㕲➽᩿㠃✚ PP

PP

PP

ᘬᙇ㕲➽࿘㛗 PP PP PP

ࡣ ṇ ഃ ࡢ ࡳ ㍕ Ⲵ ࢆ ⾜ ࡗ ࡓ ࠋ ᙉᗘィ⟬

5&つ ‽ ࡟ ᚑ ࡗ ࡚ ィ ⟬ ࡋ ࡓ ྛ ヨ 㦂 య ࡢ ィ ⟬ ᙉ ᗘ

ࢆ ⾲ ࡟ ♧ ࡍ ࠋ ࡦ ࡧ ๭ ࢀ ᖜ ࡸ ࡦ ࡧ ๭ ࢀ 㛫 㝸 ࡟ ࡣ ࡦ ࡧ ๭ ࢀ 㠃 ࡛ ࡢ 㕲 ➽ ࠿ ࡽ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡬ ࡢ ᛂ ຊ ఏ 㐩 ࡀ ኱ ࡁ ࡃ ᙳ 㡪 ࡍ ࡿ ࡓ ࡵ ᘬ ᙇ 㕲 ➽ ࡟ 㛵 ࡍ ࡿ

᝟ ሗ ࡶ ే ࡏ ࡚ グ ㍕ ࡋ ࡚ ࠸ ࡿ ࠋ ヨ 㦂 య ࡣ ඲ ࡚ ᭤ ࡆ 㝆 అ ඛ ⾜ ᆺ ࡛ タ ィ ࡋ ࡚ ࠾ ࡾ ୺ ➽ ࡢ ᩿ 㠃 ✚ ࡣ ࡝ ࡢ ヨ 㦂 య ࡶ ᴫ ࡡ ➼ ࡋ ࠸ ࡇ ࡜ ࠿ ࡽ ᭤ ࡆ 㝆 అ ᙉ ᗘ ࡣ Ṥ ࡝ ᕪ ࡀ ࡞ ࠸ ࠋ ࡋ ࠿ ࡋ 㕲 ➽ ᚄ ࡜ ᮏ ᩘ ࢆ ኚ ໬ ࡉ ࡏ ࡿ ࡇ ࡜ ࡛ 㕲 ➽ ࡜ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡀ ᥋ ࡋ ࡚ ࠸

ࡿ 㠃 ✚ ࡟ ࡣ ᕪ ࡀ ⏕ ࡌ ࡚ ࠸ ࡿ ࠋ ࡇ ࢀ ࡀ ࡦ ࡧ ๭ ࢀ ᖜ

ࡸ ࡦ ࡧ ๭ ࢀ 㛫 㝸 ࡟ ࡝ ࡢ ࡼ ࠺ ࡞ ᙳ 㡪 ࢆ ୚ ࠼ ࡿ ࠿ ࢆ ㄪ ࡭ ࡿ ࡇ ࡜ ࡀ ᮏ ᐇ 㦂 ࡢ ┠ ⓗ ࡛ ࠶ ࡿ ࠋ

900 mm

D6@100(0.15%) 16-D10

33 33

33 33 30 30 17 4 38

180

300

38 38

Dヨ㦂య '

8-D13 900 mm

33 38 33 38 38

3323433

180

30 0

Eヨ㦂య '

3535230

4-D19 900 mm

180

30 0

35 110 35

Fヨ㦂య ' ᅗ ヨ㦂య㓄➽ᅗPP

490 1000 1100

490 ਫ 700

଀

ᅗ ຍຊ⿦⨨PP

⾲ 㕲➽ࡢᮦᩱ≉ᛶ

⾲ ィ⟬ᙉᗘ

㸬ᐇ㦂⤖ᯝ

ヨ㦂య ' ࡢ◚ቯᛶ≧

ヨ 㦂 య ' ࡢ ᭱ ⤊ ࡦ ࡧ ๭ ࢀ ≧ ἣ ࢆ ᅗ D ࡟ Ⲵ 㔜 ኚ ᙧ ゅ 㛵 ಀ ࢆ ᅗ D࡟ ࡑ ࢀ ࡒ ࢀ ♧ ࡍ ࠋ ኚ ᙧ ゅ ᫬ ࡟ ᭱ ึ ࡢ ࡦ ࡧ ๭ ࢀ ࡀ Ⓨ ⏕ ࡋ ኚ ᙧ ゅ ᫬ ࡟ ୺ ➽ ࡀ 㝆 అ ࡦ ࡎ ࡳ ࡟ 㐩 ࡋ ࡓ ࠋ ࡑ ࡢ ᚋ ᱱ ➃ 㒊 ࡢ ࡦ ࡧ ๭ ࢀ ࡢ ᖜ ࡀ 㛤 ࠸ ࡚ ࠸ ࡁ ኚ ᙧ ゅ

࡛ ᭱ ኱ Ⲵ 㔜 N1ࢆ グ 㘓 ࡋ ࡓ ࠋ ヨ 㦂 య 'ࡢ ◚ ቯ ᛶ ≧

  ヨ 㦂 య ' ࡢ ᭱ ⤊ ࡦ ࡧ ๭ ࢀ ≧ ἣ ࢆ ᅗ E ࡟ Ⲵ 㔜 ኚ ᙧ ゅ 㛵 ಀ ࢆ ᅗ E࡟ ࡑ ࢀ ࡒ ࢀ ♧ ࡍ ࠋ ኚ ᙧ ゅ ᫬ ࡟ ᭱ ึ ࡢ ࡦ ࡧ ๭ ࢀ ࡀ Ⓨ ⏕ ࡋ ኚ ᙧ ゅ ᫬ ࡟ ୺ ➽ ࡀ 㝆 అ ࡦ ࡎ ࡳ ࡟ 㐩 ࡋ ࡓ ࠋ ࡑ ࡢ ᚋ ᱱ ➃ 㒊 ࡢ ࡦ ࡧ ๭ ࢀ ࡢ ᖜ ࡀ 㛤 ࠸ ࡚ ࠸ ࡁ ኚ ᙧ ゅ

࡛ ᭱ ኱ Ⲵ 㔜 N1ࢆ グ 㘓 ࡋ ࡓ ࠋ ヨ 㦂 య 'ࡢ ◚ ቯ ᛶ ≧

ヨ 㦂 య ' ࡢ ᭱ ⤊ ࡦ ࡧ ๭ ࢀ ≧ ἣ ࢆ ᅗ F ࡟ Ⲵ 㔜 ኚ ᙧ ゅ 㛵 ಀ ࢆ ᅗ F࡟ ࡑ ࢀ ࡒ ࢀ ♧ ࡍ ࠋ ኚ ᙧ ゅ ᫬ ࡟ ᭱ ึ ࡢ ࡦ ࡧ ๭ ࢀ ࡀ Ⓨ ⏕ ࡋ ኚ ᙧ ゅ

᫬ ࡟ ᭱ ኱ Ⲵ 㔜 N1ࢆ グ 㘓 ࡋ ࡓ ࡀ ୺ ➽ ࡣ 㝆 అ ࡦ ࡎ ࡳ ࡟ 㐩 ࡋ ࡚ ࠸ ࡞ ࠿ ࡗ ࡓ ࠋ ࡑ ࡢ ᚋ ኚ ᙧ ゅ

࡛ ୺ ➽ ࡀ 㝆 అ ࡋ ᱱ ➃ 㒊 ࡢ ࡦ ࡧ ๭ ࢀ ࡢ ᖜ ࡀ 㛤 ࠸ ࡚ ࠸ ࡗ ࡓ ࠋ

Fヨ㦂య '

ᅗ ヨ㦂యࡢࡦࡧ๭ࢀᛶ≧

Eヨ㦂య ' Dヨ㦂య '

60 40 20 0 -20 -40 -60

-3.0 -2.0 -1.0 0 1.0 2.0 3.0 4.0

Lo ad (k N)

Drift (%)

Load (kN)

Drift (%) 40

20

0

-20

-40

-3.0 -2.0 -1.0 0 1.0 2.0 3.0 4.0

Load (kN )

Drift (%) 60

40 20 0 -20 -40 -60

-3.0 -2.0 -1.0 0 1.0 2.0 3.0 4.0 Dヨ㦂య '

Eヨ㦂య '

Fヨ㦂య '

ᅗ Ⲵ㔜ኚᙧゅ㛵ಀ

㸬ࡦࡧ๭ࢀᖜࡢ᥎⛣

ᅗ ࠾ ࡼ ࡧ ᅗ ࡟ ྛ ヨ 㦂 య ࡢ ṇ ㍕ Ⲵ ࡟ ࠾ ࡅ ࡿ

ࣆ ࣮ ࢡ ᫬ ཬ ࡧ ࡑ ࡢ ᚋ ࡢ 㝖 Ⲵ ᫬ ࡢ ࡦ ࡧ ๭ ࢀ ᖜ ࡢ ᥎

⛣ ࢆ ࡑ ࢀ ࡒ ࢀ ♧ ࡍ ࠋヨ 㦂 య '࡛ ࡣ ࡦ ࡧ ๭ ࢀ ᖜ ࡢ ᣑ ᖜ ࡀ ᅗ ୰ ࡟ ♧ ࡍ ࡦ ࡧ ๭ ࢀ ࡟ ࠾ ࠸ ࡚ 㢧 ⴭ ࡛ ࠶ ࡗ ࡓ ࠋ ࡇ ࢀ ࡟ ᑐ ࡋ ヨ 㦂 య '࠾ ࡼ ࡧ ヨ 㦂 య '࡛

ࡣ ࡦ ࡧ ๭ ࢀ ᖜ ࡢ ᣑ ᖜ ࡀ ࡑ ࢀ ࡒ ࢀ ᮏ ࡢ ࡦ ࡧ ๭

ࢀ ࡟ 㞟 ୰ ࡋ ࡚ ぢ ࡽ ࢀ ࡓ ࠋࡋ ࡓ ࡀ ࡗ ࡚ ヨ 㦂 య '

࠾ ࡼ ࡧ ' ࡛ ࡣ ኚ ᙧ ࡀ 㞟 ୰ ࡋ ࡚ ࠸ ࡓ ࡇ ࡜ ࢆ ♧ ࡋ

࡚ ࠸ ࡿ ࠋ

㝖 Ⲵ ᫬ ࡢ ࢢ ࣛ ࣇ ࡟ ࡣ 㕲 ➽ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ 㐀 ᘓ

≀ ࡢ ⪏ 㟈 ᛶ ⬟ ホ ౯ ᣦ 㔪 ࣭ ྠ ゎ ㄝ ࡛ グ ㍕ ࡉ ࢀ ࡚ ࠸

ࡿ ౑ ⏝ 㝈 ⏺ ಟ ᚟ 㝈 ⏺ ࡢ ࡦ ࡧ ๭ ࢀ ᖜ ࢆ ヨ 㦂 య ࢫ ࢣ ࣮ ࣝ ࡟ ᥮ ⟬ ࡋ ࡓ ࡶ ࡢ ࡶ ే ࡏ ࡚ ♧ ࡋ ࡚ ࠸ ࡿ ࠋ ࡦ ࡧ ๭ ࢀ ᖜ ࢆ ᥮ ⟬ ࡍ ࡿ 㝿 ࡟ ࡣ ᩥ ⊩ ࡢ ᪉ ἲ ࢆ ౑

⏝ ࡋ ࡓ ࠋ ⦰ ᑻ ࡀ ࡢ ᮏ ᐇ 㦂 ࡛ ࡣ ౑ ⏝ 㝈 ⏺ ࠾

ࡼ ࡧ ಟ ᚟ 㝈 ⏺ Ϩ ࡢ ṧ ␃ ࡦ ࡧ ๭ ࢀ ᖜ ࡀ ࡑ ࢀ ࡒ ࢀ PP PP ᐇ ኱ ࡛ ࡣ ࡑ ࢀ ࡒ ࢀ PP PP࡜ ࡞ ࡗ ࡓ ࠋ ヨ 㦂 య ' ࡛ ࡣ ࡦ ࡧ ๭ ࢀ ᖜ ࡢ ᣑ ᖜ ࡀ ᮏ ࡢ ࡦ ࡧ ๭ ࢀ ࡛ ㉳ ࡇ ࡗ ࡚ ࠸ ࡓ ࡓ ࡵ ࡟ ኚ ᙧ ゅ ᚋ ࡢ 㝖 Ⲵ ᫬ ࡢ ṧ ␃ ࡦ ࡧ ๭ ࢀ ᖜ ࡀ ಟ ᚟ 㝈

⏺ ࡢ ࡦ ࡧ ๭ ࢀ ᖜ ࡼ ࡾ ᑠ ࡉ ࡃ ࡞ ࡗ ࡚ ࠸ ࡿ ࠋ ࡇ ࢀ ࡟ ᑐ ࡋ ヨ 㦂 య ' ࡛ ࡣ ࡦ ࡧ ๭ ࢀ ᖜ ࡢ ᣑ ᖜ ࡀ ᮏ ࡢ ࡦ ࡧ ๭ ࢀ ࡟ 㞟 ୰ ࡋ ࡓ ࡓ ࡵ ࡟ ኚ ᙧ ゅ ᚋ ࡢ

ࡧ ๭ ࢀ ᖜ ࢆ ㉸ ࠼ ࡓ Ⲵ 㔜 ࡣ ヨ 㦂 య ' ࡛ ࡣ ""N1

㝖 Ⲵ ᫬ ࡢ ṧ ␃ ࡦ ࡧ ๭ ࢀ ᖜ ࡀ PP ࡜ ኱ ࡁ ࡃ ࡞ ࡗ

࡚ ࠸ ࡓ ࠋ ୍ ᪉ ヨ 㦂 య ' ࡛ ࡣ ኚ ᙧ ゅ ᚋ ࡢ ṧ

␃ ࡦ ࡧ ๭ ࢀ ᖜ ࡣ PP ⛬ ᗘ ࡛ ࠶ ࡿ ࠋࡋ ࡓ ࡀ ࡗ ࡚

⤊ ᒁ ᭤ ࡆ ᙉ ᗘ ࡀ ྠ ࡌ ᱱ ࡛ ࡶ ୺ ➽ ࢆ ኚ ࠼ ࡿ ࡇ ࡜

࡟ ࡼ ࡗ ࡚ ṧ ␃ ࡦ ࡧ ๭ ࢀ ᖜ ࡟ ࡣ ಸ ⛬ ᗘ ࡢ ᕪ ࡀ ฟ ࡿ ࡇ ࡜ ࡀ ศ ࠿ ࡗ ࡓ ࠋ

㸬ࡦࡧ๭ࢀ㛫㝸

ᅗ ࡟ ♧ ࡋ ࡓ ᭱ ⤊ ࡦ ࡧ ๭ ࢀ ≧ ἣ ࠿ ࡽ ヨ 㦂 య

࡟ ࡼ ࡗ ࡚ ࡦ ࡧ ๭ ࢀ 㛫 㝸 ࡶ ␗ ࡞ ࡗ ࡚ ࠸ ࡿ ࡇ ࡜ ࡀ ศ

࠿ ࡿ ࠋࡑ ࡇ ࡛ ᮏ ◊ ✲ ࡛ ࡣ ᅗ ࡟ ♧ ࡍ ᪉ ἲ ࡛ ࡦ ࡧ

๭ ࢀ ఩ ⨨ ࢆ ᐃ ⩏ ࡋ ࡦ ࡧ ๭ ࢀ 㛫 㝸 ࢆ ẚ ㍑ ࡍ ࡿ ࠋ ࡦ ࡧ ๭ ࢀ ࡢ ᭱ እ ⦕ ࡟ ┤ ⥺ ࢆ ᘬ ࡁ ࡑ ࢀ ࡽ ࡢ ୰ 㛫

఩ ⨨ ࢆ ࡦ ࡧ ๭ ࢀ ఩ ⨨ ࡜ ᐃ ⩏ ࡋ ࡚ ࠸ ࡿ ࠋ࡞ ࠾ ᅗ ࡣ ヨ 㦂 య ' ࡢ ㈇ ㍕ Ⲵ ࡛ Ⓨ ⏕ ࡋ ࡓ ࡦ ࡧ ๭ ࢀ ࢆ ౛

࡜ ࡋ ࡚ ♧ ࡋ ࡚ ࠸ ࡿ ࠋᅗ ୰ ࡟ ♧ ࡋ ࡓ ࡦ ࡧ ๭ ࢀ ࡣ DE ࡢ 㡰 ࡛ Ⓨ ⏕ ࡋ ࡦ ࡧ ๭ ࢀ E ࡀ Ⓨ ⏕ ࡋ ࡓ ᚋ ࡟ ࡣ ࡦ ࡧ ๭ ࢀ D ࡀ ኚ ໬ ࡋ ࡞ ࡃ ࡞ ࡗ ࡓ ࡇ ࡜ ࠿ ࡽ ࡇ ࢀ ࡽ ࡢ ࡦ ࡧ ๭ ࢀ ࡣ ྠ ୍ ࡢ ࡶ ࡢ ࡜ ࡳ ࡞ ࡋ ࡚ ᅗ ࡟ ♧ ࡍ ᅄ ゅ ᙧ ࡢ ୰ ኸ ఩ ⨨ ࢆ ࡦ ࡧ ๭ ࢀ ఩ ⨨ ࡜ ࡍ ࡿ ࡇ ࡜ ࡟ ࡋ ࡓ ࠋ ྛ ヨ 㦂 య ࡢ ㈇ ㍕ Ⲵ ᫬ ࡢ ࡦ ࡧ ๭ ࢀ ࡟ ࡘ ࠸ ࡚ ẚ ㍑ ⤖ ᯝ ࢆ ᅗ ࡟ ♧ ࡍ ࠋ༴ 㝤 ᩿ 㠃 ഃ ࠿ ࡽ ࡦ ࡧ ๭ ࢀ

ࢆ ᩘ ࠼ ࡿ ࡇ ࡜ ࡟ ࡍ ࡿ ࡜ 㸯 ᮏ ┠ ࡜ 㸰 ᮏ ┠ ࡢ 㛫 㝸 ࡣ ヨ 㦂 య '''࡛ ࡑ ࢀ ࡒ ࢀ PPPP

ࢀ PP""PPPP࡜ ࡞ ࡗ ࡚ ࠸ ࡓ ࠋ ࡇ ࡢ ್ ࡣ

2.5 2.0 1.5 1.0 0.5

0 0.5 1.0 1.5 2.0

drift (%) drift (%) drift (%)

C ra ck w idt h (m m) C ra ck w idt h (m m) C ra ck w idt h (m m) 2.5

2.0 1.5 1.0 0.5 0 3.0 3.5

0.5 1.0 1.5 2.0

2.5 2.0 1.5 1.0 0.5

0 0.5 1.0 1.5 2.0

1.4 1.2 1.0 0.8 0.6 0.4 0.2

0 0.5 1.0 1.5 2.0

0.13 mm 0.66 mm

0.66 mm 0.66 mm

2.5 2.0 1.5 1.0 0.5 0 3.0

0.5 1.0 1.5 2.0

2.5 2.0 1.5 1.0 0.5

0 0.5 1.0 1.5 2.0

drift (%) drift (%) drift (%)

C ra ck wi dt h (m m ) C ra ck wi dt h (m m ) C ra ck wi dt h (m m )

0.13 mm 0.13 mm

Dヨ㦂య 'Eヨ㦂య 'Fヨ㦂య ' ᅗ ṧ␃ࡦࡧ๭ࢀᖜ

Dヨ㦂య 'Eヨ㦂య 'Fヨ㦂య '

ᅗ Ⲵ㔜ࢧ࢖ࢡࣝࣆ࣮ࢡ᫬ࡢࡦࡧ๭ࢀᖜ

PP࡜ ࡞ ࡗ ࡚ ࠾ ࡾ ⾲ ࡟ ♧ ࡋ ࡓ ᘬ ᙇ 㕲 ➽ ࿘ 㛗 ࡢ ್ ࡜ ᴫ ࡡ ẚ ౛ ࡍ ࡿ 㛵 ಀ ࡜ ࡞ ࡗ ࡚ ࠸ ࡿ ࡇ ࡜ ࡀ ศ

࠿ ࡿ ࠋ ࡋ ࡓ ࡀ ࡗ ࡚ ࡦ ࡧ ๭ ࢀ 㛫 㝸 ࡣ ᘬ ᙇ 㕲 ➽ ࿘ 㛗 ࡢ ್ ࠿ ࡽ 㢮 ᥎ ࡛ ࡁ ࡿ ྍ ⬟ ᛶ ࡀ ࠶ ࡿ ࡇ ࡜ ࡀ ศ ࠿ ࡗ ࡓ ࠋ

㸬ࡲ࡜ࡵ

᭤ ࡆ ࡜ ࡏ ࢇ ᩿ ࡀ ྠ ᫬ ࡟ స ⏝ ࡍ ࡿ 㕲 ➽ ࢥ ࣥ ࢡ ࣜ

࣮ ࢺ 㐀 ᱱ ヨ 㦂 య ࡢ ᐇ 㦂 ࢆ ⾜ ࠸ ௨ ୗ ࡢ ▱ ぢ ࢆ ᚓ ࡓ ࠋ

᭤ ࡆ 㝆 అ ᙉ ᗘ ࡀ ྠ ⛬ ᗘ ࡢ ヨ 㦂 య ࡛ ࡶ 㕲 ➽ ᚄ ࢆ ኚ ໬ ࡉ ࡏ ࡿ ࡇ ࡜ ࡟ ࡼ ࡗ ࡚ ࡦ ࡧ ๭ ࢀ 㛫 㝸 ࠾ ࡼ ࡧ ࡦ ࡧ ๭ ࢀ ᖜ ࡣ ␗ ࡞ ࡿ ࠋ

୺ ➽ ࡟ ' ࢆ ౑ ⏝ ࡋ ࡓ ヨ 㦂 య ࡛ ࡣ ኚ ᙧ ゅ ᚋ ࡢ ṧ ␃ ࡦ ࡧ ๭ ࢀ ࡀ ' ࢆ ⏝ ࠸ ࡓ ヨ 㦂 య ࡢ ࠾

ࡼ ࡑ ಸ ࡜ ࡞ ࡗ ࡓ ࠋ

༴ 㝤 ᩿ 㠃 ㏆ ഐ ࡢ ࡦ ࡧ ๭ ࢀ 㛫 㝸 ࡣ ᘬ ᙇ 㕲 ➽ ࡜ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ࡀ ᥋ ࡋ ࡚ ࠸ ࡿ 㛗 ࡉ ࡜ ᴫ ࡡ ẚ ౛ 㛵 ಀ

࡟ ࡞ ࡗ ࡓ ࠋ

ᮏ ᐇ 㦂 ࡛ ࡣ ᬑ ㏻ ᙉ ᗘ ࡢ 㕲 ➽ ࢆ ౑ ⏝ ࡋ ࡚ ࠸ ࡿ ࡀ 㧗 ᙉ ᗘ 㕲 ➽ ࢆ ౑ ⏝ ࡋ ࡓ ሙ ྜ ࡟ ࡣ ಟ ᚟ 㝈 ⏺ ϩ ࡟ ࡘ

࠸ ࡚ ࡶ ᕪ ࡀ ฟ ࡿ ྍ ⬟ ᛶ ࡀ ࠶ ࡿ ࠋ

ཧ⪃ᩥ⊩

㸧 ᪥ ᮏ ᘓ ⠏ Ꮫ ఍ 㸸 㕲 ➽ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ 㐀 ᘓ ≀ ࡢ ⪏ 㟈 ᛶ

⬟ ホ ౯ ᣦ 㔪 ࣭ ྠ ゎ ㄝ ᖺ ᭶

㸧 :DWVWHLQ:LGWKDQG6SDFLQJRI7HQVLOH&UDFNV LQ $[LDOO\ 5HLQIRUFHG &RQFUHWH &\OLQGHUV -RXUQDORIUHVHDUFKRIWKHQDWLRQDOEXUHDXRI VWDQGDUGV9ROSDSHU 㸧 ゅ ⏣ ୚ ྐ 㞝 㸸 㕲 ➽ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ᱆ ࡢ ᭤ ࡆ ࡦ ࡧ ࢃ ࢀ

࠾ ࡼ ࡧ ኚ ᙧ ࡟ 㛵 ࡍ ࡿ ᇶ ♏ ⓗ ◊ ✲ ໭ ᾏ 㐨 ኱ Ꮫ ᕤ Ꮫ 㒊 ◊ ✲ ሗ ࿌ 9ROSS 㸧 ᪥ ᮏ ᘓ ⠏ Ꮫ ఍ 㸸 㕲 ➽ ࢥ ࣥ ࢡ ࣜ ࣮ ࢺ ᵓ 㐀 ィ ⟬ つ ‽ ࣭

ྠ ゎ ㄝ ᖺ ᭶

㸧┿ ⏣ 㟹 ኈ ᕷ அ ℩ ᩄ ຾ 㧗 ᶫ அ 㣤 ሯ ᱈ Ꮚ 㸸 5&⪏

㟈 ቨ ࡢ 㛤 ཱྀ 㧗 ࡉ ࡟ ࡼ ࡿ ⪏ ຊ ప ῶ ⋡ ࡢ ᳨ ド ᪥ ᮏ ᘓ

⠏ Ꮫ ఍ ᵓ 㐀 ⣔ ㄽ ᩥ 㞟 9RO 1R SS

a b

ᅗ ࡦࡧ๭ࢀ఩⨨ࡢᐃ⩏

Fヨ㦂య '

ᅗ ྛヨ㦂యࡢࡦࡧ๭ࢀ㛫㝸 Eヨ㦂య '

Dヨ㦂య '