• 検索結果がありません。

文化財背後斜面の安定計算に用いる強度定数について -室内実験による基礎的研究 (木造文化都市の災害脆弱性と防災)

N/A
N/A
Protected

Academic year: 2021

シェア "文化財背後斜面の安定計算に用いる強度定数について -室内実験による基礎的研究 (木造文化都市の災害脆弱性と防災)"

Copied!
8
0
0

読み込み中.... (全文を見る)

全文

(1)

ᱧผㇺᏒ㒐ἴ⺰ᢥ㓸Vol.4 2010 ᐕ 7 ᦬  

ᢥൻ⽷⢛ᓟᢳ㕙ߩ቟ቯ⸘▚ߦ↪޿ࠆᒝᐲቯᢙߦߟ޿ߡ

̆ቶౝታ㛎ߦࠃࠆၮ␆⊛⎇ⓥ̆

A fundamental study on the shear strength parameters for stability diagnostics

of a slope behind a cultural asset

቟Ꮉ㇚ᄦ

1

࡮㈬൬৻ᚑ

2

࡮㑐⋡ቄ੫

3

࡮ᷓᎹ⦟৻

4

Ikuo Yasukawa, Kazunari Sako, Sueaki Sekime, Ryoichi Fukagawa

ખ⍫㗅ሶ

5

࡮⍹↰ఝሶ

6

࡮㉿⷗⍮ᤘ

5

Junko Nakaya, Yuko Ishida and Tomoaki Satomi





1ᩣᑼળ␠ࠛ࡯ࠬᛛⴚ㘈໧㧔ޥ600-8133 ੩ㇺᏒਅ੩඙৾᧦ㅢട⨃Ꮉ╭⷏౉Ⓑ⩄↸458㧕

Engineering Adviser, Asia Civil Engineering Co,LTD

2┙๮㙚ᄢቇ․೎᜗⡜ಎᢎ᝼ ┙๮㙚ࠣࡠ࡯ࡃ࡞࡮ࠗࡁࡌ࡯࡚ࠪࡦ⎇ⓥᯏ᭴㧔ޥ525-8577 ṑ⾐⋵⨲ᵤᏒ㊁〝᧲1-1-1㧕

Associate Professor, Global innovation research organization, Ritsumeikan University

3ᩣᑼળ␠ᄢᨋ⚵㧔ޥ105-0001 ᧲੩ㇺ᷼඙⯥ࡁ㐷2-2-5 ౒หㅢାળ㙚㧕

CHEMICAL GROUTING CO.LTD

4┙๮㙚ᄢቇᢎ᝼ ㇺᏒࠪࠬ࠹ࡓᎿቇ⑼㧔ޥ525-8577 ṑ⾐⋵⨲ᵤᏒ㊁〝᧲1-1-1㧕

Professor, Dept. of Civil Engineering, Ritsumeikan University

5┙๮㙚ᄢቇᄢቇ㒮ඳ჻⺖⒟ᓟᦼ⺖⒟ ℂᎿቇ⎇ⓥ⑼✚วℂᎿቇኾ᡹㧔ޥ525-8577 ṑ⾐⋵⨲ᵤᏒ㊁〝᧲1-1-1㧕

Graduate Student, Ritsumeikan University, Graduate School of Science and Engineering

6᧲ർᄢቇᄢቇ㒮ഥᢎ ⅣႺ⑼ቇ⎇ⓥ⑼㧔ޥ980-8579 ઄บᏒ㕍⪲඙⨹Ꮞሼ㕍⪲6-6-20㧕

Assistant professor, Tohoku University, Graduate school of Environmental Studies



In Kyoto city, many cultural assets are located near the steep slopes, so preserving these cultural assets from slope disaster due to rainfall is very important. However, mechanism of slope failure is not clearly understood since we need to know the shear strength properties of soil in a slope behind a cultural asset. Therefore, a soil specimen is conducted to model the local soil conditions in the slope, and then a direct shear test is performed. In this paper, the results of direct shear test are presented, and the stability diagnostics of the slope using an inverse analysis by the shear test’s results are discussed. Moreover, the measures against a field measurement are performed through this paper.



Key Words: steep slope failure, shear strength parameter, degree of saturation, ground water, cultural assets   㧝㧚ߪߓ߼ߦ   ᣣᧄߩ␹␠੽㑑ߪޔ↸ߩᒻᚑㆊ⒟߿࿾ᒻ⊛ⷐ࿃߆ࠄጊ࿾߿ਐ㒺࿾߆ߘߩ⵿㊁ߦᒛࠅઃߊࠃ߁ߦᑪ⸳ߐࠇߡ ޿ࠆߎߣ߇ᄙ޿ޕߘߩߚ߼ޔ㊀ⷐߥᢥൻㆮ↥ߩ⢛ᓟ࿾߇ᕆ௑ᢳ࿾ࠍߥߔ੐଀߇⷗ࠄࠇࠆޕ ᢳ㕙ߩ፣უߪޔ࿯⍾࿾⋚ߩ႐วߢߪޟ࿾ߔߴࠅޠߣᕆ௑ᢳ࿾ߥߤߩޟ፣უޠߦಽ㘃ߐࠇࠆޕ࿾ߔߴࠅߪޔ ࿾⾰߿࿾ᒻ⊛ߥⷐ࿃ߦᡰ㈩ߐࠇࠆߎߣ߇ᄙߊޔෂ㒾ᕈߩ੍᷹߇ኈᤃߢ޽ࠅޔ➅ࠅ㄰ߒ⿠ߎࠆߎߣ߽ᄙ޿ߚ߼ޔ ޟ࿾ߔߴࠅޠ࿾Ꮺ߹ߚߪ࿾ᒻߣࠃ߫ࠇࠆߣߎࠈߦ㊀ⷐߥᢥൻㆮ↥߇┙࿾ߔࠆ଀ߪߥ޿ߣ⸒߃ࠆޕߎࠇߦኻߒޔ ᕆ௑ᢳ࿾ߪ࿾⋚߇⦟޿ߚ߼ޔੱᎿ⊛ߦㅧᚑߐࠇࠆ႐ว߽ᄙߊޔ⥄ὼᢳ㕙ߢ޽ߞߡ߽቟ቯߒߡ޿ࠆߣ್ᢿߐࠇ ࠆߚ߼ޔᕆ௑ᢳ࿾ᒻߩਅߦᢥൻㆮ↥߇┙࿾ߔࠆ଀ߪᄙ޿ޕᕆ௑ᢳ࿾╬ߩ፣უࡔࠞ࠾࠭ࡓߪޔᧂߛቢోߦ⸃᣿

(2)

ߐࠇߡ߅ࠄߕޔ፣უߩ੍᷹ߪ⃻⁁ߢߪ㔍ߒ޿ޕ⃻⁁ߢߪޔㆊ෰ߩᢳ㕙፣უ੐଀ߣ㒠㔎ᒝᐲߩ㑐ଥߦၮߠ޿ߚ 㒠㔎ᖱႎߦࠃࠆᢳ㕙፣უߩෂ㒾ᕈ⹏ଔࠍታᣉߒޔ૑᳃ߩㆱ㔍߿㆏〝࡮㋕㆏ߩ੤ㅢ࡮ㆇⴕⷙ೙ࠍⴕߞߡ޿ࠆޕ ߒ߆ߒޔߎࠇࠄߩෂ㒾ᕈߩ್ቯᴺ߿፣უߩ੍᷹ᴺߦߪജቇಽ㊁ߩ⽸₂ߢ߈ߥ޿߹߹᧪ߡ߅ࠅޔ㐳޿㑆ߩ࿾⋚ ߩኾ㐷ኅߩᄢ߈ߥ⺖㗴ߣߥߞߡ޿ࠆޕ ᢳ㕙፣უߪജቇ⊛ߥ቟ቯ߇଻ߡߥߊߥߞߚߣ߈ߦ፣უߔࠆߎߣ߆ࠄޔߘߩᢳ㕙ࠍ᭴ᚑߔࠆ࿯ߩᒝᐲቯᢙࠍ ⊛⏕ߦߟ߆߻ߎߣ߇㊀ⷐߢ޽ࠆޕߒ߆ߒޔᒝᐲߩ⹏ଔߦ߅޿ߡޔ޿ߊߟ߆ߩ࿎㔍ߥ⺖㗴߇⸃᳿ߢ߈ߕߦផ⒖ ߒߡ߈ߚޕߘߩ⺖㗴ߪᰴߩࠃ߁ߥߎߣ߇⠨߃ࠄࠇߡ޿ࠆޕ Ԙ 㒠㔎ᤨߩᢳ㕙፣უߢߪޔߔߴࠅෘߐ߇ᢙචcm㨪ᢙ㨙⒟ᐲߩ⴫ጀߔߴࠅဳ፣უ߇ᄙ޿ޕ⴫ጀߔߴࠅဳ፣უ ߩේ࿃ߩ৻ߟߦޔ㔎᳓ߩᶐㅘߦ઻߁ߖࠎᢿᒝᐲቯᢙߩ৻ߟߢ޽ࠆ⷗ដߌߩ☼⌕ജߩૐਅ߇᜼ߍࠄࠇࠆޕ ߘߎߢޔ㒠㔎ᤨߩᢳ㕙ߩ቟ቯᕈߦߟ޿ߡᬌ⸛ߔࠆߚ߼ߦߪޔ࿾⋚ߩ฽᳓㊂ߣ⷗ដߌߩ☼⌕ജߩ㑐ଥࠍ⠨ ᘦߔࠆᔅⷐ߇޽ࠆޕ ԙ ㅢᏱޔߖࠎᢿᒝᐲቯᢙ㧔⷗ដߌߩ☼⌕ജc ߣౝㇱ៺ᡂⷺ Ǿ㧕ࠍ᳞߼ࠆߚ߼ߦታᣉߐࠇࠆߖࠎᢿ⹜㛎ߦ߅ ߌࠆု⋥ᔕജߪޔ100ޔ200ޔ300kPa ⒟ᐲߢ޽ࠆޕߒ߆ߒޔ⴫ጀߔߴࠅဳ፣უߢߪޔߔߴࠅ㕙ߦ૞↪ߔࠆ ࿯ⵍࠅෘߐߦࠃࠆု⋥ᔕജߪචᢙkPa ߢ޽ࠆޕࠃߞߡޔ⴫ጀߔߴࠅဳ፣უߦߟ޿ߡ቟ቯ⸃ᨆࠍⴕ߁ߚ߼ ߦߪޔૐ᜔᧤࿶᧦ઙਅߦ߅ߌࠆߖࠎᢿ⹜㛎ߩታᣉ߇ᔅⷐߢ޽ࠆޕ Ԛ ᢳ㕙⴫ጀㇱߩ࿯ࠍੂߐߕߦណขߔࠆߎߣߪ࿎㔍ߥߚ߼ޔ⃻࿾߆ࠄੂߒߚ⁁ᘒߢណขߒޔቶౝߢ⃻࿾ߣห ߓ⁁ᘒߦߒߡߖࠎᢿ⹜㛎ࠍⴕ߁߇ޔᦨೋߩട࿶ߢ⹜ᢱ߇࿶ኒߐࠇޔ⃻࿾ߣߪ⇣ߥࠆኒᐲߩ⁁ᘒߢߖࠎᢿ ߔࠆߎߣߦߥࠆߚ߼ޔ቟ቯ⸘▚ߦ↪޿ࠆᒝᐲቯᢙߩ⹏ଔߦ⺖㗴߇ᱷߞߡ޿ࠆޕ ߎࠇ߹ߢߦ⪺⠪ࠄߪޔԘԙߦߟ޿ߡߪߘߩၮ␆⊛ߥ⎇ⓥࠍⴕߞߡ߈ߚ 1)ޕᧄ⺰ᢥߢߪޔߔߢߦⴕߞߚԘԙ ߩౝኈߦߟ޿ߡߘߩ᭎ⷐࠍ⚫੺ߒߚᓟޔԚߩ໧㗴ߩ⸃᳿ߦะߌߚߖࠎᢿ೨ߩ࿯ߩኒᐲࠍ⠨ᘦߒߚߖࠎᢿ⹜㛎 ⚿ᨐߣࠃࠅታോߢታᣉߒ߿ߔ޿ߖࠎᢿᒝᐲቯᢙߩ⹏ଔᣇᴺߦߟ޿ߡឭ᩺ߔࠆޕ ࿾⋚ߩߖࠎᢿᒝᐲቯᢙࠍ◲න߆ߟ♖ᐲ⦟ߊ⹏ଔߔࠆߎߣ߇น⢻ߣߥࠇ߫ޔᢳ㕙ἴኂ߆ࠄᢥൻ⽷߿ⷰశቴޔ ᓥᬺຬࠍ቞ࠆߚ߼ߩലᨐ⊛ߥἴኂኻ╷ࠍ┙ߡࠆߎߣ߇ߢ߈ࠆߣ⠨߃ࠄࠇࠆޕ 㧞㧚⹜㛎ⵝ⟎߅ࠃ߮⹜ᢱߩ᭎ⷐ   ⹜㛎⹜ᢱ  ╙1 ▵ߢ␜ߒߚԘԙߩ⸃᣿ߩߚ߼ߩታ㛎ߦ↪޿ߚ⹜ᢱߦߟ޿ߡ⺑᣿ߔࠆޕ⥄ὼ࿾⋚ߩᒝᐲࠍផቯߔࠆߦߪ ⃻࿾߆ࠄਇᡬੂ⹜ᢱࠍណขߒߡߖࠎᢿ⹜㛎ࠍⴕ߁ߩ߇ᦸ߹ߒ޿ޕߒ߆ߒޔᕆ௑ᢳ࿾ߢ⴫ጀߩਇᡬੂ⹜ᢱߩណ ขߪ࿎㔍ߢ޽ࠆߚ߼ᡬੂ⹜ᢱࠍ⃻࿾ߩ⁁ᘒࠍౣ⃻ߔࠆࠃ߁ߦ✦࿕߼ߡߖࠎᢿ⹜㛎ߩଏ⹜૕ࠍ૞⵾ߒߚޕ⃻࿾ ߩ⁁ᘒࠍᛠីߔࠆߚ߼ޔᡬੂ⹜ᢱࠍᷓߐ50ޔ80ޔ110cm ߆ࠄណขߒߚޕᡬੂ⹜ᢱࠍ↪޿ߚ࿯ߩ‛ℂ⊛ᕈ⾰ࠍ ᳞߼ࠆߚ߼ߩ࿯⾰⹜㛎⚿ᨐࠍ⴫ 1 ߦ␜ߔޕ  ߹ߚޔኻ⽎ᢳ㕙ߦ߅޿ߡޔߔߴࠅ㕙ࠍᗐቯߔࠆߚ߼ߦ◲ᤃࠦ࡯ࡦ⽾౉⹜㛎ࠍታᣉߒߚޕߘߩ⚿ᨐޔᷓᐲ80cm ߣ110cm ߦ߅ߌࠆᒝᐲ߇቟ቯࠍᡰ㈩ߔࠆߣ⠨߃ࠄࠇࠆߚ߼ޔߎߩ 2 ߟߩᷓᐲߩ⹜ᢱߦ㑐ߔࠆ⹏ଔࠍⴕ߁ߎߣ ߣߒߚޕߎߩ2 ߟߩ⹜ᢱߪޔ⃻࿾ߢߪ߅ࠃ ߘ⥄ὼ฽᳓Ყw ߇⚂ 20%ߢ޽ࠅޔ㘻๺ᐲ Sr ߪ70%೨ᓟࠍ␜ߒޔ㑆㓗Ყ e ߢ 0.8 ೨ᓟߢ ޽ߞߚޕ߹ߚޔࠦࡦࠪࠬ࠹ࡦࠪ࡯ࠍ␜ߔ႟ ᕈᜰᢙIpߪޔ20 એ਄ࠍ␜ߒޔᲧセ⊛ޔ႟ᕈ ߩ㜞޿☼ᕈ࿯ߢ޽ߞߚޕࠨࡦࡊ࡜࡯㧔ౝᓘ 5cm˜㜞ߐ 5cm㧕ߢណขߒߚਇᡬੂ⹜ᢱ߆ ࠄᓧࠄࠇߚḨẢኒᐲߪޔ⴫ 1 ߦ␜ߔࠃ߁ߦ ȡt= 1.8g/cm3೨ᓟߢ޽ࠅޔੇ῎ኒᐲߪޔȡd = 1.5g/cm3ߢ޽ߞߚޕ߹ߚޔ೎ㅜណขߒߚ⹜ ᢱߢ✦࿕߼⹜㛎ࠍⴕߞߚ⚿ᨐޔJIS ߦࠃࠆ ✦࿕߼⹜㛎ߩૐ޿ᣇߩࠛࡀ࡞ࠡ࡯ߢ✦࿕߼ ߚ႐วޔᦨᄢੇ῎ኒᐲ ȡdmax 㧩 1.7g/cm3ޔ ᦨㆡ฽᳓Ყ18%⒟ᐲߢ޽ߞߚޕߎߩߎߣ߆ ⴫ 1 ࿯⾰⹜㛎⚿ᨐ ⹜ᢱᷓߐ㧔cm㧕 50 80 110 ฽᳓Ყw 㧔%㧕 18.4 20.5 20.6 ࿯☸ሶኒᐲȡs㧔g/cm3㧕 2.606 2.634 2.656 ḨẢኒᐲȡt㧔g/cm3㧕 1.581 1.753 1.839 ੇ῎ኒᐲȡd㧔g/cm3㧕 1.335 1.454 1.525 㑆㓗Ყe 0.95 0.81 0.74 㘻๺ᐲSr㧔%㧕 50.5 66.8 74.0 ᶧᕈ㒢⇇wL㧔%㧕 97.5 47.0 57.0 ႟ᕈ㒢⇇wP㧔%㧕 NP 17.7 16.8 ႟ᕈᜰᢙIP 㧙 29.3 40.2 ᦨᄢੇ῎ኒᐲȡd㧔g/cm3㧕 1.774 1.704 1.737 ᦨㆡ฽᳓Ყwopt㧔%㧕 16.5 18.5 18.0 ㅘ᳓ଥᢙ kT㧔cm/s㧕 7.50×10-3 6.50×10-4 1.60×10-6

(3)

ࠄޔታ㛎ߦ↪޿ࠆଏ⹜૕૞⵾ߢ⃻࿾ߩ⁁ᘒߦ޽ࠊߖ ߚኒᐲࠍᓧࠆߦߪ✦࿕߼ࠛࡀ࡞ࠡ࡯ߪ߆ߥࠅዊߐߊ ߔࠆᔅⷐ߇޽ࠆߎߣ߇ࠊ߆ࠆޕ  ߹ߚޔ╙1 ▵ߢ␜ߒߚԚߩ⸃᣿ߩߚ߼ߩታ㛎ߦ↪ ޿ߚ⹜ᢱߪޔ0.85mm ࠍㅢㆊߒߚାᭉ↥ࡑࠨ࿯㧔࿯ ☸ሶኒᐲȡs㧩2.656g/cm3㧕ࠍ↪޿ߚޕ     ৻㕙ߖࠎᢿ⹜㛎ߩ᭎ⷐ  ᢳ㕙ߩᒝᐲቯᢙࠍ⹏ଔߔࠆߖࠎᢿ⹜㛎ߣߒߡޔዋ ߥ޿⹜ᢱߢ⹜㛎߇಴᧪ࠆߎߣޔଏ⹜૕૞⵾߇ኈᤃߢ ޽ࠆߎߣޔߖࠎᢿߩࡔࠞ࠾࠭ࡓ߇᣿⏕ߢޔߖࠎᢿᒝ ᐲߩ⹏ଔ߇⋥ធ⊛ߦ಴᧪ࠆߎߣ╬ࠍ⠨ᘦߒޔ৻㕙ߖ ࠎᢿ⹜㛎ࠍ↪޿ߚޕ⹜㛎ⵝ⟎ߪ෩ኒߦߖࠎᢿᤨߩ૕ Ⓧᄌൻࠍࠦࡦ࠻ࡠ࡯࡞ߢ߈ࠆߚ߼ߦਃゲ࿶❗⹜㛎ߣ╬ଔߩឃ᳓᧦ઙߩ▤ℂ߇น⢻ߥᡷ⦟ဳ৻㕙ߖࠎᢿ⹜㛎ࠍ ↪޿ߚޕ ৻㕙ߖࠎᢿ⹜㛎ߦ↪޿ࠆု⋥ᔕജߪޔㅢᏱ100㨪200 kN/m2㧔ㅢᏱ᜔᧤࿶㗔ၞߣ⴫⃻ߔࠆ㧕ߢ޽ࠆޕߒ߆ߒޔ ߎߩ࿶ജߪ࿯ⵍࠅෘߐߢ޿߃߫5㨪6m એ਄ߩᷓᐲߦ⋧ᒰߒޔ⴫ጀߩߖࠎᢿᒝᐲࠍ⹏ଔߔࠆߦߪㆊᄢߢ޽ࠆޕ ߘߎߢޔૐ޿᜔᧤࿶ߦ߽ኻᔕߢ߈ࠆࠃ߁ߦ⹜㛎ⵝ⟎ࠍᡷ⦟ߒޔု⋥ᔕജ߇ 20㨪60kN/m2㧔ૐ᜔᧤࿶㗔ၞ㧕ߩ ᧦ઙਅߢᒝᐲࠍ⹏ଔߢ߈ࠆࠃ߁ߦߒߚޕ߹ߚޔ࿾⴫㕙ߩᒝᐲࠍ⹏ଔߔࠆߚ߼ߦߪޔߎߩૐ᜔᧤࿶ߢ߽ု⋥ᔕ ജ߇ᄢ߈ߔ߉ࠆߚ߼ޔ․೎ߦᎿᄦߐࠇߚⵝ⟎ࠍ↪޿ߡ 1.0㨪3.1 kN/m2㧔⿥ૐ᜔᧤࿶㗔ၞ㧕ߩု⋥࿶ജߢ߽⹜ 㛎ࠍⴕ޿ޔᒝᐲ․ᕈࠍ⺞ߴߚޕ ੹࿁ߩ৻ㅪߩታ㛎ߦ↪޿ߚᡷ⦟ဳ৻㕙ߖࠎᢿ⹜㛎ᯏࠍ౮⌀ 1 ߦޔԙߩ⸃᣿ߦ↪޿ߚ⿥ૐ᜔᧤࿶⹜㛎ᯏࠍ౮ ⌀ 2 ߦ␜ߔޕ౮⌀ 1 ߩᏀޔ౮⌀ 2 ߩਛᄩㇱߩ▫ဳߩ߽ߩ߇⋥ᓘ 6cmޔෘߐ 2cm ߩଏ⹜૕ࠍ⚊߼ߚߖࠎᢿ▫ ߢ޽ࠆޕߖࠎᢿ▫ߪޔෘߐ2cm ߩଏ⹜૕ߩਛᄩߢߖࠎᢿࠍⴕ߃ࠆࠃ߁ߦ਄ਅߦಽഀߐࠇߚኈེߢ޽ࠆޕ ᕆ௑ᢳ㕙ߩ፣უߪޔ⃻᦭ߩ᦭ലᔕജ⁁ᘒߢᒝᐲࠍ⹏ଔߔࠆߎߣ߇ᔅⷐߥߚ߼ޔߖࠎᢿ⹜㛎ߩଏ⹜૕ߩឃ᳓ ᧦ઙࠍ࿶ኒឃ᳓ߖࠎᢿ᧦ઙߣߒߚޕߎߩ᧦ઙߩ৻㕙ߖࠎᢿ⹜㛎ߪޔ࿶ኒቯ࿶ߖࠎᢿ⹜㛎ߣߥࠅޔߖࠎᢿਛߦ ㆊ೾㑆㓗᳓࿶߇⊒↢ߒߥ޿ࠃ߁ߦߔࠆߚ߼ޔߖࠎᢿㅦᐲࠍ૶↪ߒߚߖࠎᢿ⹜㛎ᯏߢᦨ߽ㆃ޿0.1mm/min ߣߒ ߚޕ߹ߚޔ᳓ᐔߖࠎᢿᄌ૏8mm ߢ⹜㛎ࠍ⚳ੌߒߚޕ ⴫ 2 ߦԘԙߩ⸃᣿ߢណ↪ߒߚ⹜㛎᧦ઙࠍ␜ߔޕߎߎߢߪޔૐ᜔᧤࿶᧦ઙ㧔ု⋥ᔕജ 20ޔ40ޔ60kPa㧕ਅߢޔ ߐࠄߦଏ⹜૕ߩ㘻๺ᐲ߇ 60ޔ80ޔ100%ߩ႐วߦ߅ߌࠆ࿶ኒቯ࿶ߖࠎᢿ⹜㛎ߣ᜔᧤࿶߇ㅢᏱ᜔᧤࿶㧔100ޔ 150kPa㧕ޔૐ᜔᧤࿶㧔20ޔ40ޔ60kPa㧕ޔ⿥ૐ᜔᧤࿶㧔1ޔ1.7ޔ2.4kPa㧕᧦ઙਅߦ߅޿ߡޔ㘻๺ᐲ 100%ߩଏ ⹜૕ࠍ૶↪ߒߚ႐วߩ࿶ኒቯ࿶ߖࠎᢿ⹜㛎ࠍⴕߞߚޕ ߹ߚޔԚߩ⸃᣿ߢߪޔㅢᏱ᜔᧤࿶㧔100ޔ150ޔ200kPa㧕ߢ⹜㛎ࠍⴕߞߚޕଏ⹜૕૞⵾ߦ޽ߚߞߡߪޔ⹜ᢱ ߇⸳ቯ㘻๺ᐲ߹ߚߪ฽᳓Ყߦߥࠆࠃ߁ട᳓ߒߡ⺞ᢛ㧔᳓߇චಽߥߓ߻ࠃ߁࠲࠶ࡄ࡯ߦ౉ࠇߡ2 ᣣ㑆㙃↢㧕ߒ ⴫ 2 ⹜㛎᧦ઙ ૶↪⹜ᢱណขᷓᐲ㧔cm㧕 ⸳ቯ㘻๺ᐲ Sr (%) ណ↪ု⋥ᔕജ㧔kPa㧕 ૶↪⹜ᢱណขᷓᐲ㧔cm㧕 ⸳ቯ㘻๺ᐲ Sr (%) ㅢᏱ᜔᧤࿶ 100, 150, ૐ᜔᧤࿶ 20, 40, 60 ⿥ૐ᜔᧤࿶ 1, 1.7, 2.4, 100 ណ↪ု⋥ᔕജ㧔kPa㧕 ૐ᜔᧤࿶᧦ઙ㧔27ࠤ࡯ࠬ㧕 50, 80, 110 60, 80, 100 20, 40, 60 ᜔᧤࿶᧦ઙߩ⋧㆑ߦࠃࠆߖࠎᢿ․ᕈ㧔10ࠤ࡯ࠬ㧕 110 ౮⌀1 ᡷ⦟ဳ৻㕙ߖࠎᢿ⹜㛎ᯏ ౮⌀2 ⿥ૐ᜔᧤࿶ဳ৻㕙ߖࠎᢿ⹜㛎ᯏ ߖࠎᢿ▫ ߖࠎᢿ▫

(4)

ߚޕߘߒߡޔ⸳ቯߒߚ޿㑆㓗Ყߦߔࠆߚ߼ߦ੍߼⹜ᢱߩ⾰㊂ࠍ⸘㊂ߒޔߘߩ㊂ࠍߖࠎᢿ▫ߦෘߐ2cm ߦ⚊߹ ࠆࠃ߁✦࿕߼ߡᢛᒻߒߚޕ✦࿕߼ߩ೨ߦ฽᳓⺞ᢛࠍߒߡ޿ࠆߚ߼ޔ⸳ቯ᧦ઙߩଏ⹜૕ߦߔࠆߚ߼ߩ✦࿕߼ߩ ࠛࡀ࡞ࠡ࡯ߪޔߘࠇߙࠇߩ᧦ઙߦ߅޿ߡหߓߦߪߥࠄߥ޿ޕ  㧟㧚ߖࠎᢿᒝᐲߩ⹏ଔߦ߅ߌࠆ᳓ಽ․ᕈߩᓇ㗀   ࿯ߪޔ࿾ਅ᳓㕙ࠃࠅ਄ߦ޽ࠆ႐วޔਇ㘻๺ߩ⁁ᘒߦ޽ࠆޕਇ㘻๺ߩ⁁ᘒߢߪ㑆㓗ౝߩ᳓ߩ⴫㕙ᒛജߢࠨࠢ ࡚ࠪࡦߣ޿߁⽶࿶߇௛ߊޕߘࠇߪ࿯☸ሶࠍ੕޿ߦᒁ߈ߟߌࠆ૞↪ࠍ෸߷ߔߚ߼ޔ࿯☸ሶ㑆ߦ᦭ലᔕജߣߒߡ ૞↪ߔࠆߎߣߦߥࠅޔߖࠎᢿᒝᐲࠍჇടߐߖࠆലᨐࠍ⊒ើߔࠆޕណขߒߚ⹜ᢱ߇ߤߩ⒟ᐲߩࠨ࡚ࠢࠪࡦࠍ᦭ ߔࠆ߆ࠍ᷹ቯߒߚ⚿ᨐ߇࿑1 ߢ޽ࠆޕ࿑ 1 ߪ࿯ߩ଻᳓ᕈࠍ⴫ߔᦛ✢ߢ߽޽ࠆޕᷓ޿࿾ὐߦ޽ࠆ⹜ᢱ߶ߤ㧘⚦ ☸ಽ߇ᄙߊ฽߹ࠇߡ޿ߚߚ߼ޔ࿯ߩ଻᳓ᕈ߇㜞޿ߎߣ߇ࠊ߆ࠆޕ߹ߚޔ⹜㛎ߩๆ᳓࡮ឃ᳓ㆊ⒟ߦ߅ߌࠆࡅࠬ ࠹࡝ࠪࠬ߇⷗ࠄࠇࠆޕ  ߹ߕޔૐ᜔᧤࿶᧦ઙ㧔ု⋥ᔕജ20ޔ40ޔ60kPa㧕ਅߢޔߐࠄߦଏ⹜૕ߩ㘻๺ᐲ߇ 60ޔ80ޔ100%ߩ႐วߦ߅ ߌࠆ࿶ኒቯ࿶ߖࠎᢿ⹜㛎ߩ⚿ᨐࠍ࿑2 ߦ␜ߔޕ࿑ 2 ߪߖࠎᢿ⹜㛎ߦࠃࠅᓧࠄࠇߚࠢ࡯ࡠࡦߩ⎕უ✢ߩု⋥ᔕ ജ߇࠯ࡠߩߣ߈ߩߖࠎ ᢿᔕജߢ޽ࠆ⷗ដߌߩ ☼⌕ജc ߣଏ⹜૕ߩ㘻 ๺ᐲߩ㑐ଥࠍ␜ߔޕ㘻 ๺ᐲ߇㜞ߊߥࠆ߶ߤޔ ⷗ដߌߩ☼⌕ജc ߪૐ ਅߒߡ޿ࠆߎߣ߆ࠄޔ ࠨ࡚ࠢࠪࡦߩᓇ㗀߇⠨ ߃ࠄࠇࠆޕ ߹ߚޔଏ⹜૕ߩ㘻๺ ᐲߣౝㇱ៺ᡂⷺ Ǿ ߩ 㑐ଥࠍ࿑3 ߦ␜ߔޕ࿑ 3 ߢߪ㘻๺ᐲ߇ 80%ߩ ⁁ᘒߢ߆ߥࠅ߫ࠄߟ޿ ߡ޿ࠆ߇ޔ௑ะߣߒߡ ౝㇱ៺ᡂⷺߪ㘻๺ᐲߩ ᓇ㗀ࠍฃߌߥ޿ߣ್ᢿ ߢ߈ࠆޕ 㧠㧚᜔᧤࿶ߩߖࠎᢿ ᒝᐲ߳ߩᓇ㗀 ㆊ෰ߩ፣უ੐଀ࠍߺ ࠆߣޔᕆ௑ᢳ࿾ߢߩ፣ უᒻᘒߪޔ⴫ጀߔߴࠅ 㧔ᢙචcm㨪ᢙ m ߩߔ ߴࠅෘߐ㧕߇ᄙ޿ޕߒ ߆ߒޔᓥ᧪ߩᢳ㕙቟ቯ ⸃ᨆߦ↪޿ࠄࠇࠆߖࠎ ᢿᒝᐲࡄ࡜ࡔ࡯࠲ߪޔ⴫ጀߩ࿯߆߱ࠅ࿶ࠃ ࠅ߽ߪࠆ߆ߦᄢ߈ߥ᜔᧤࿶ߢ᳞߼ࠄࠇߡ޿ ࠆ႐ว߇ᄙ޿ޕߘߎߢޔ᜔᧤࿶߇ㅢᏱ᜔᧤ ࿶㧔100ޔ150ޔ200kPa㧕ޔૐ᜔᧤࿶㧔20ޔ 40ޔ60kPa㧕ޔ⿥ૐ᜔᧤࿶㧔1ޔ1.7ޔ2.4kPa㧕 ࿑1 ฦᷓᐲߩ⹜ᢱߩ᳓ಽ․ᕈᦛ✢           EOឃ᳓ EOๆ᳓ EOឃ᳓ EOๆ᳓ EOឃ᳓ EOๆ᳓ ࠨࠢ ࠪ ࡚ ࡦ U W  M2 C 㘻๺ᐲ5T ࿑2 㘻๺ᐲߣ⷗߆ߌߩ☼⌕ജߩ㑐ଥ ࿑ 4 ᜔᧤࿶ߩᐢ޿▸࿐ߢߺߚࠢ࡯ࡠࡦߩ ⎕უ✢ߩ㆑޿ ࿑ 3 ૐ᜔᧤࿶⁁ᘒߢߩߖࠎᢿߦ߅ߌࠆ 㘻๺ᐲߣౝㇱ៺ᡂⷺߩ㑐ଥ               ᷓߐEO ᷓߐEO ᷓߐEO ౝㇱ៺ ᡂⷺ Ǿq 㘻๺ᐲ5 T               ᷓߐEO ᷓߐEO ᷓߐEO ⷗ដߌߩ☼ ⌕ജE M 2C 㘻๺ᐲ5 T 㪇 㪌㪇 㪈㪇㪇 㪈㪌㪇 㪉㪇㪇 㪇 㪌㪇 㪈㪇㪇 㪈㪌㪇 㪉㪇㪇 ⿥ૐ᜔᧤࿶ဳ ૐ᜔᧤࿶ဳ ㅢᏱ᜔᧤࿶ဳ 䈞䉖 ᢿᔕജ 㩷㱠 㩷㩿㫂 㪧 㪸㪀 ု⋥ᔕജ㩷㱟㩷㩿㫂㪧㪸㪀 ⴫ 3 ᜔᧤࿶ߩ㆑޿ߦࠃࠆǾߩ୯ ⹜ᢱᷓߐ(cm) ᜔᧤࿶ ⿥ૐ᜔᧤࿶ဳ ૐ᜔᧤࿶ဳ ㅢᏱ᜔᧤࿶ဳ ⸳ቯ㘻๺ᐲSr(%) ⷗䈎䈔䈱☼⌕ജc (kPa) 0 0 5 ౝㇱ៺ᡂⷺǾ (deg.) 29.8 20.2 16 110 100

(5)

᧦ઙਅߦ߅޿ߡޔ㘻๺ ᐲ 100%ߩଏ⹜૕ࠍ૶ ↪ߒߚ႐วߩ࿶ኒቯ࿶ ߖࠎᢿ⹜㛎ࠍⴕߞߚޕ ⹜ ᢱ ߣ ߒ ߡ ޔ ᷓ ᐲ 110cm ߩ࿯ࠍ↪޿ߚޕ ⹜㛎ߦࠃࠅᓧࠄࠇߚࠢ ࡯ࡠࡦߩ⎕უ✢ࠍ࿑ 4 ߦ␜ߔޕ ߎߎߢޔࠢ࡯ࡠࡦߩ ⎕უ✢ߩ௑߈ߢ޽ࠆౝ ㇱ៺ᡂⷺ Ǿ ߦ⌕⋡ߒ ߡޔ᜔᧤࿶ߩ㆑޿ߦࠃ ࠆᓇ㗀ࠍᬌ⸛ߒߚޕ⴫ 3 ߪ࿑ 4 ߩ⚿ᨐ߆ࠄᓧࠄࠇߚ Ǿ ߩ୯ࠍ␜ߒߡ޿ࠆޕߎࠇࠄߩ⚿ᨐ ࠃࠅޔ᜔᧤࿶߇ᄢ߈ߊߥࠆߦߟࠇߡౝㇱ៺ᡂⷺ߇ዊߐߊߥࠆߎߣ ߇ࠊ߆ߞߚޕ⿥ૐ᜔᧤࿶ਅߢᓧࠄࠇߚౝㇱ៺ᡂⷺǾ ߪ 29.8°ߣᦨ ߽ᄢ߈ߊޔૐ᜔᧤࿶᧦ઙਅߢߪǾ=20.2°ޔc = 0kPa ߢ޽ࠅޔߖࠎ ᢿ⹜㛎ਛߩ࿯ߩ᜼േ߇ᱜⷙ࿶ኒ㗔ၞߩ࿯ߣหߓ௑ะࠍ␜ߒߚޕߎ ࠇߦኻߒޔㅢᏱ᜔᧤࿶᧦ઙߢߪޔǾ=16.0°ޔc = 5.0kPa ߣᓧࠄࠇޔ ౝㇱ៺ᡂⷺ߇ઁߩ᧦ઙߦᲧߴޔ߆ߥࠅૐ޿୯ࠍ␜ߒߚޕ߹ߚޔߖ ࠎᢿ⹜㛎ߩᦨೋߦⴕࠊࠇࠆ࿶ኒㆊ⒟ߦ߅ߌࠆ㑆㓗Ყߩᄌൻࠍ࿑ 5 㨪࿑7 ߦ␜ߔޕ࿶ኒቯ࿶ߖࠎᢿߢߪޔ࿑ 5ޔ࿑ 6 ߢ␜ߔࠃ߁ߦᦨ ೋߩ࿶ኒߢଏ⹜૕ߩ㜞ኒᐲൻ߇↢ߓޔㅢᏱ᜔᧤࿶㧔ု⋥ᔕജ100ޔ 150ޔ200kPa㧕߿ૐ᜔᧤࿶ߢߪߖࠎᢿᤨߦ⃻࿾ߩߖࠎᢿࠍౣ⃻ߒߡ ޿ߥ޿น⢻ᕈ߇޽ࠆޕ৻ᣇޔ࿑7 ߦ␜ߔࠃ߁ߦޔ⿥ૐ᜔᧤࿶㧔1ޔ 1.7ޔ2.4kPa㧕ߢߪᦨೋߩ࿶ኒㆊ⒟ߢߪ࿶ኒ߇߶ߣࠎߤ↢ߓߡ޿ߥ ޿ߚ߼ޔ⃻࿾ߩߖࠎᢿࠍౣ⃻ߒߡ޿ࠆน⢻ᕈߪ㜞޿ߣ⠨߃ࠄࠇࠆޕߒ߆ߒޔ⿥ૐ᜔᧤࿶᧦ઙਅߩ⹜㛎ⵝ⟎ߢ ߪޔᢅᗵߥ࠮ࡦࠨࠍ↪޿ߡ޿ࠆߚ߼ޔ⍍㑆⊛ߥ࿅☸⁁ߩ☸ሶߩ⎕უ߿ߖࠎᢿ▫ធ⸅㕙ߩ៺ᡂߥߤߩᓇ㗀ࠍฃ ߌ߿ߔ޿߽ߩߣ⠨߃ࠄࠇࠆޕ  એ਄ߩࠃ߁ߦޔ৻㕙ߖࠎᢿ⹜㛎ߢߪޔቯ࿶ߖࠎᢿࠍⴕ߁႐วޔᦨೋߦቯ࿶ߩ࿶ኒࠍⴕ߁ߚ߼⹜ᢱߩ࿶ኒ߇ ↢ߓߡߒ߹߁ޕ࿶ኒᓟߩኒᐲ㧔㑆㓗Ყ㧕߇⃻࿾ߩ㑆㓗Ყߦวࠊߖࠆߎߣ߇ߢ߈ࠇ߫ࠃ޿߇ޔ⃻ታߩ૞ᬺߣߒ ߡߎߩࠃ߁ߥ⺞ᢛߪ࿎㔍ߢ޽ࠆޕߘߩߚ߼ޔㅢᏱߩ⹜㛎ߢߪޔ࿶ኒ೨ߩ⹜ᢱ࿯ߩ㑆㓗Ყࠍ⃻࿾ߩ㑆㓗Ყߣว ࠊߖߡ߅ࠅޔߖࠎᢿ㐿ᆎᤨߩኒᐲ߇⃻࿾ߩ⁁ᘒߣ߆ߌ㔌ࠇߚ⚿ᨐߣߥߞߡ޿ࠆ໧㗴ࠍήⷞߒߡታ↪ߐࠇߡ޿ ࠆޕߘߎߢޔᧄ⺰ᢥߢߪޔᰴ▵ߢߖࠎᢿ㐿ᆎ೨ߩ㑆㓗Ყ߆ࠄߖࠎᢿᒝᐲቯᢙࠍផቯߔࠆᣇᴺߦߟ޿ߡᬌ⸛ߔ ࠆޕ  㧡㧚ߖࠎᢿ㐿ᆎᤨߩೋᦼ᧦ઙࠍ৻ቯߣߒߚᒝᐲቯᢙߣߘߩ⹏ଔ   ⃻࿾ߩ⁁ᘒࠍㆡಾߦ෻ᤋߒߚᒝᐲቯᢙߪޔ⃻࿾ߩ 㑆㓗Ყߣหߓ㑆㓗Ყߢߖࠎᢿ⹜㛎ߒߚ⚿ᨐߢ᳿߼ࠆ ߎߣ߇ℂᗐ⊛ߣ⸒߃ࠆޕ⎕უᤨߩ㑆㓗Ყࠍหߓߦߪ ߢ߈ߥ޿ߣߒߡ߽ߖࠎᢿ㐿ᆎ೨ߩ㑆㓗Ყࠍหߓߦߢ ߈ࠇ߫วℂ⊛ߥᒝᐲቯᢙߩផቯߦߟߥ߇ࠆޕ  ࿯ߪޔ࿯☸ሶ߇ኒߦ⹣߹ࠆ߶ߤߘࠇߛߌធ⸅㕙ߩ 㕙Ⓧ߇ᄢ߈ߊߥࠅߖࠎᢿᛶ᛫߇Ⴧ߃ࠆޕ࿯ߩ⎕უၮ ḰߣߒߡޔCoulomb ߩ⎕უၮḰߦ߅ߌࠆᒝᐲቯᢙ cޔ Ǿ ߇ࠃߊ↪޿ࠄࠇࠆ߇ޔᢳ㕙ߩ቟ቯ⸘▚ߢ↪޿ࠆ᦭ ࿑8 Hvorslev ߩ⎕უၮḰߣ c’ޔ’ߩ㑐ଥ3) 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪇㪅㪌 㪈 㪈㪅㪌 㪉 㪉㪅㪌 㪊 㪊㪅㪌 ⿥ૐ᜔᧤࿶ဳ㩷࿶ኒ೨ ⿥ૐ᜔᧤࿶ဳ㩷࿶ኒᓟ 㑆㓗 Ყ 㩷㪼 ု⋥ᔕജ㩷㱟㩷㩿㫂㪧㪸㪀 ࿑7 㑆㓗Ყߩᄌൻ㧔⿥ૐ᜔᧤࿶ဳ㧕 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪈㪇㪇 㪈㪌㪇 㪉㪇㪇 ㅢᏱ᜔᧤࿶ဳ㩷࿶ኒ೨ ㅢᏱ᜔᧤࿶ဳ㩷࿶ኒᓟ 㑆㓗 Ყ 㩷㪼 ု⋥ᔕജ㩷㱟㩷㩿㫂㪧㪸㪀 ࿑5 㑆㓗Ყߩᄌൻ㧔ㅢᏱ᜔᧤࿶ဳ㧕 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪈㪇 㪉㪇 㪊㪇 㪋㪇 㪌㪇 㪍㪇 㪎㪇 ૐ᜔᧤࿶ဳ㩷࿶ኒ೨ ૐ᜔᧤࿶ဳ㩷࿶ኒᓟ 㑆㓗 Ყ 㩷㪼 ု⋥ᔕജ㩷㱟㩷㩿㫂㪧㪸㪀 ࿑6 㑆㓗Ყߩᄌൻ㧔ૐ᜔᧤࿶ဳ㧕

(6)

ലᔕജߦࠃࠆc’ޔǾ’ࠍ᳿߼ࠆߣ߈ᱜⷙ ࿶ኒ߆ㆊ࿶ኒ߆ߩ඙೎ࠍᔅⷐߣߔࠆޕ ߟ߹ࠅޔ෩ኒߦᒝᐲቯᢙࠍ᳿ቯߔࠆߚ ߼ߦߪޔ࿯ߩ⁁ᘒߩᄌൻޔ․ߦ฽᳓Ყ ߿㑆㓗Ყߩ᧦ઙࠍ᳿߼ࠆᔅⷐ߇޽ࠆޕ ߘߎߢޔ⎕უᤨߩ㑆㓗Ყߣ᦭ലᔕജ߆ ࠄᒝᐲቯᢙ߇᳿߼ࠆߎߣ߇ߢ߈ࠇ߫ว ℂ⊛ߣ޿߃ࠆޕHvorslev ߪ࿯ߩߖࠎᢿ ᛶ᛫ߪߖࠎᢿ㕙ߩ㑆㓗Ყߣߘߩ㕙ߦ௛ ߊ᦭ലᔕജߩ㑐ᢙߣߥࠆߣ޿߁⠨߃ᣇ ߦၮߠ߈ޔหߓ㑆㓗ᲧߢߩCoulomb ⷙ Ḱߦ߅ߌࠆᒝᐲቯᢙࠍ᦭ല☼⌕ജceߣ ᦭ല៺ᡂⷺǾeߣቯ⟵ߒߚ2)ޕ  Coulomb ⷙḰߦ߅ߌࠆᒝᐲቯᢙ c’㧘 Ǿ’ߣ Hvorslev ߩ᦭ല☼⌕ജ ceߣ᦭ല ៺ᡂⷺǾeߩ㑐ଥࠍ␜ߒߚߩ߇࿑ 8 ߢ ޽ࠆޕߎߩ Ǿeߪߘߩ࿯ߩฃߌߚᔕജጁᱧߦነࠄߥ޿ߘߩ࿯ߩ࿕᦭ߩቯᢙߣ⸒߃ࠆޕߟ߹ࠅޔኻ⽎ᢳ㕙ࠍ᭴ ᚑߔࠆ࿯ߩ࿕᦭ߩᒝᐲ․ᕈߣ⸒߃ࠆ Ǿeࠍቶౝߖࠎᢿ⹜㛎ߦࠃࠅ᳞߼ޔ⃻࿾ߩ࿶ኒᔕജࠍ෻ᤋߒߚ᦭ല☼⌕ ജceࠍේ૏⟎⹜㛎ߦࠃࠅ⹏ଔߢ߈ࠇ߫ޔࠃࠅ◲ᤃߢㆡಾߥߖࠎᢿᒝᐲቯᢙࠍᓧࠆߎߣ߇ߢ߈ࠆߣ⠨߃ࠄࠇࠆޕ  ߎߩǾeޔceࠍㆡಾߦ᳿߼ࠆߎߣ߇น⢻ߢ޽ࠆ߆⺞ߴࠆߚ߼ޔ቟ቯ⊛ߦ౉ᚻ߇ߢ߈ࠆାᭉ↥ࡑࠨ࿯ߢታ㛎ࠍ ⴕߞߚޕ    ଏ⹜૕ߩ૞ᚑߣⴕߞߚ৻㕙ߖࠎᢿ⹜㛎  Hvorslev ⷙḰߦࠃࠆᒝᐲቯᢙߩ⹏ଔࠍⴕ߁ߚ߼ޔએ ਅߩcase ߦߟ޿ߡታ㛎ࠍⴕߞߚޕ  ৻㕙ߖࠎᢿ⹜㛎ߪㅢᏱ᜔᧤࿶⁁ᘒߢޔᰴߩฦ⋧ኻኒ ᐲߩ߽ߣߢޔ⸘27case ߦߟ޿ߡ࿶ኒቯ࿶ߖࠎᢿ⹜㛎ࠍ ⴕߞߚޕ Case1㧦⋧ኻኒᐲ 0%ޔ ฽᳓Ყ 5ޔ10ޔ15%ޔ ု⋥ᔕജ100㧘150㧘200kPa Case2㧦⋧ኻኒᐲ 50%ޔ ฽᳓Ყ 6ޔ10ޔ15%ޔ ု⋥ᔕജ100㧘150㧘200kPa Case3㧦⋧ኻኒᐲ 100%ޔ฽᳓Ყ 7ޔ10ޔ15%ޔ ု⋥ᔕജ100㧘150㧘200kPa  ࿑9 ߦ↪޿ߚ⹜ᢱߩ✦࿕߼⹜㛎㧔JIS A 1210㧕⚿ᨐ߅ ࠃ߮ฦ⹜㛎ࠤ࡯ࠬߩೋᦼ⁁ᘒࠍ␜ߔޕߚߛߒޔ৻㕙ߖ ࠎᢿ⹜㛎ߩଏ⹜૕ߪJIS A 1210 ߩ⹜㛎ߣߪ✦࿕߼ࠛࡀ ࡞ࠡ࡯ߩਈ߃ᣇ߇⇣ߥࠆޕ   ⹜㛎⚿ᨐߣ⠨ኤ case1㨪3 ߩታ㛎એᄖߦޔ⋧ኻኒᐲ Dr㧩62.8%ߩ᧦ઙ ߢⴕߞߚ⚿ᨐ߽ട߃ߡ⠨ኤࠍⴕ߁ޕ࿑ 10(a)ޔ(b)ߦߪ ฦ⹜㛎ߩ㑆㓗Ყߣߖࠎᢿᔕജࠍု⋥ᔕജ೎ߦࡊࡠ࠶࠻ ߒߚ⚿ᨐࠍ␜ߔޕ࿑ 10(a)ߪ࿶ኒᓟߩ㑆㓗Ყޔ࿑ 10(b) ߪᦨᄢߖࠎᢿᔕജࠍ␜ߒߚߣ߈ߩ㑆㓗Ყࠍߘࠇߙࠇᮮ ゲߦߣߞߚ߽ߩߢ޽ࠆޕ࿑10(b)ߩᦨᄢߖࠎᢿᔕജᤨߩ 㑆㓗Ყߪߖࠎᢿਛߦ᷹ቯߐࠇߡ޿ࠆߖࠎᢿᔕജ߇ᦨᄢ ߣߥࠆᤨߩု⋥ᄌ૏߆ࠄ૕Ⓧࠍ᳞߼㑆㓗Ყࠍ⸘▚ߒ 㪈㪅㪉 㪈㪅㪋 㪈㪅㪍 㪈㪅㪏 㪉 㪇 㪌 㪈㪇 㪈㪌 㪉㪇 㪉㪌 ✦࿕䉄ᦛ✢ 䉷䊨ⓨ᳇㑆㓗ᦛ✢ 㘻๺ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪐㪇㩼㪀 㘻๺ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪏㪇㩼㪀 㘻๺ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪎㪇㩼㪀 㘻๺ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪍㪇㩼㪀 㘻๺ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪌㪇㩼㪀 㘻๺ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪋㪇㩼㪀 㘻๺ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪊㪇㩼㪀 㘻๺ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪉㪇㩼㪀 㘻๺ᐲ৻ቯᦛ✢㩿㪪㫉㪔㪈㪇㩼㪀 ੇ῎ኒᐲ㪛㫉㪇 ੇ῎ኒᐲ㪛㫉㪌㪇 ੇ῎ኒᐲ㪛㫉㪈㪇㪇 ੇ῎ኒᐲ㪛㫉㪍㪉㪅㪏 ੇ῎ ኒ ᐲ 䇭㱝 㪻 㩿㪾㪆㪺 㫄 㪊 㪀 ฽᳓Ყ䇭㫎㩿㩼㪀 ࿑9 ↪޿ߚ⹜ᢱߩ✦࿕߼ᦛ✢ߣฦ case ߩೋᦼ⁁ᘒ 㪇 㪉㪇 㪋㪇 㪍㪇 㪏㪇 㪈㪇㪇 㪈㪉㪇 㪈㪋㪇 㪈㪍㪇 㪈㪏㪇 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪇㪅㪐 㪈 㱟㪔㪈㪇㪇㫂㪧㪸 㱟㪔㪈㪌㪇㫂㪧㪸 㱟㪔㪉㪇㪇㫂㪧㪸 䈞䉖ᢿ ᔕ ജ 䇭 㱠䋨 䌫㪧㪸 䋩 㑆㓗Ყ䇭㪼 㪇 㪉㪇 㪋㪇 㪍㪇 㪏㪇 㪈㪇㪇 㪈㪉㪇 㪈㪋㪇 㪈㪍㪇 㪈㪏㪇 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪇㪅㪐 㪈 㱟㪔㪈㪇㪇㫂㪧㪸 㱟㪔㪈㪌㪇㫂㪧㪸 㱟㪔㪉㪇㪇㫂㪧㪸 䈞䉖ᢿ ᔕ ജ 䇭 㱠䋨 䌫㪧㪸 䋩 㑆㓗Ყ䇭㪼 ࿑10 㑆㓗Ყߣߖࠎᢿᔕജߩ㑐ଥ (a) ࿶ኒᓟ㧔ߖࠎᢿ೨㧕ߩ㑆㓗Ყ (b) ᦨᄢߖࠎᢿᔕജᤨߩ㑆㓗Ყ

(7)

ߚޕ࿑ࠃࠅޔ޿ߕࠇߩ⚿ᨐ߽㑆㓗ᲧߩჇടߦ઻޿ߖࠎᢿᔕജ߇ૐਅߒߡ ޿ࠆߎߣ߇ࠊ߆ࠆޕ߹ߚޔหߓ㑆㓗Ყޔု⋥ᔕജߦ߅ߌࠆߖࠎᢿᔕജߩ ࡊࡠ࠶࠻߇߫ࠄߟ޿ߡ޿ࠆߩߪޔ⇣ߥࠆ฽᳓Ყߩ࠺࡯࠲ࠍࡊࡠ࠶࠻ߒߡ ޿ࠆߚ߼ߣ⠨߃ࠄࠇࠆޕߎߎߢޔ⴫4 ߦฦု⋥ᔕജ㧔ฦ᜔᧤࿶ജ㧕ߩߖ ࠎᢿᔕജߣ㑆㓗Ყߩ㑐ଥߦߟ޿ߡޔᦨዊੑਸ਼ᴺߦࠃߞߡ᳞߼ߚㄭૃᑼࠍ ␜ߔޕ  Hvorslev ⷙḰߦࠃࠆᒝᐲቯᢙߩ⹏ଔࠍⴕ߁ߚ߼ߦߪޔ࿑ 10(a)ޔ(b)ߩ޿ ߕࠇ߆ߩ⚿ᨐࠍ↪޿ࠆᔅⷐ߇޽ࠆޕ Hvorslev ߩ⠨߃߆ࠄߪᦨᄢߖࠎᢿᔕ ജ⊒ើᤨߩ㑆㓗Ყߦ߅ߌࠆ⚿ᨐ߇ᦸ ߹ߒ޿߇ޔ৻⥸⊛ߦߪ⎕უᤨὐߢߩ 㑆㓗Ყߩ੍᷹ߪ࿎㔍ߢ޽ࠆߎߣ߆ ࠄޔᧄ⺰ᢥߢߪޔታോߢߩ೑↪ߩߒ ߿ߔߐࠍ⠨ᘦߒޔ࿑10(a)ߩ࿶ኒᓟߩ 㑆㓗Ყ㧔ߖࠎᢿ೨ߩ㑆㓗Ყ㧕ߢߩ⹏ ଔࠍⴕ߁ߎߣߣߒߚޕ  ⴫4 ߦ␜ߔ࿑ 10(a)߆ࠄᓧࠄࠇߚㄭૃᑼߦᓥߞߡޔ㑆㓗Ყ 0.45㨪0.85 ߩ㗔ၞߢᒝᐲ․ᕈࠍ▚಴ߒߚ⚿ᨐࠍ⴫ 5 ߅ࠃ߮ ࿑ 11 ߦ␜ߔޕߘߒߡޔ᳞߼ࠄࠇߚ᦭ല☼⌕ജ ceޔ᦭ലౝ ㇱ៺ᡂⷺǾeߣ㑆㓗Ყe ߩ㑐ଥࠍ࿑ 12ޔ13 ߦ␜ߔޕ㑆㓗Ყ ߩ▸࿐ߪ⹜㛎࠺࡯࠲ࠃࠅ᳿ቯߒߚޕ  ࿑ 12ޔ13 ࠃࠅ㑆㓗ᲧߩჇടߦ઻޿᦭ല☼⌕ജޔ᦭ലౝ ㇱ៺ᡂⷺ߇ᷫዋߒߡ޿ࠆߎߣ߇ࠊ߆ࠆޕㆊ෰ߩ⎇ⓥߢ᦭ല ☼⌕ജ ce߇㑆㓗Ყߩ㑐ᢙߢ⴫⃻ߢ߈ࠆߎߣ߇ႎ๔ߐࠇߡ ߅ࠅ4)ޔ5)ޔ߹ߚޔ᦭ലౝㇱ៺ᡂⷺߪ㑆㓗Ყߦኻߒߡ৻ቯ୯ ߣߺߥߒߡ໧㗴ߥ޿ߎߣ 6)ޔ౎ᧁ 7)ߩ⎇ⓥߢߪ᦭ലౝㇱ៺ ᡂⷺߪోߡߩ⁁ᘒߢหߓߢ޽ࠆߣߩታ㛎⚿ᨐ߇ႎ๔ߐࠇ ߡ޿ࠆޕ੹࿁ߩ⚿ᨐߦ߅޿ߡ߽ޔ᦭ല☼⌕ജߪ㑆㓗Ყe ߩ 㑐ᢙߢ⴫ࠊߖࠆߣ⠨߃ࠄࠇࠆޕ ߹ߚޔ᦭ലౝㇱ៺ᡂⷺߪޔ㑆㓗ᲧߩჇടߦኻߒߡࠊߕ߆ ߦᷫዋߒߡ޿ࠆޕߎࠇߪޔHvorslev ⎕უⷙḰߦ߆߆ࠊࠆㆊ ෰ߩ⎇ⓥႎ๔߇޿ ߕࠇ߽㘻๺࿯ࠍኻ ⽎ߣߒߡ߅ࠅޔᧄ ⎇ⓥߢⴕߞߚਇ㘻 ๺࿯ࠍኻ⽎ߣߒߚ ⹜㛎ߣ⇣ߥࠅޔ฽ ᳓⁁ᘒ߇⇣ߥࠆࠤ ࡯ࠬߩ⚿ᨐ߽฽ࠎ ߢ޿ࠆᓇ㗀߇޽ࠆ ߽ ߩ ߣ ⠨ ߃ ࠄ ࠇ ࠆޕߒ߆ߒޔౝㇱ ៺ᡂⷺࠍ↪޿ࠆ㓙 ߦߪޔtanǾ ߣߒߡ ↪޿ࠆߚ߼ޔ੹࿁ ߩ୯߽߶߷৻ቯ୯ ߣߒߡޔขࠅᛒߞߡ߽໧㗴ߪߥ޿߽ߩߣ⠨߃ࠄࠇࠆޕ ⴫4 ߖࠎᢿᔕജߣ㑆㓗Ყߩ㑐ଥ 㧔ᦨዊੑਸ਼ᴺߦࠃࠆㄭૃᑼ㧕 ࿑ 10(a) ࿑ 10 (b) ı100 IJ = 52.6×e-0.62 IJ = 51.9×e-0.62 ı150 IJ = 69.6×e-0.57 IJ = 68.2×e-0.56 ı200 IJ = 89.8×e-0.5 IJ = 85.2×e-0.59 * IJ 䋺䈞䉖ᢿᔕജ䇮e 䋺㑆㓗Ყ ⴫5 ᒝᐲ․ᕈߩ▚಴ 㑆㓗Ყ ᦭ല☼⌕ജ ᦭ലౝㇱ៺ᡂⷺ e ı100 ı150 ı100 ce (kPa) Ǿe (deg.) 0.45 86.2 109.4 133.9 38.3 25.5 0.5 80.8 103.0 127.0 34.3 24.8 0.6 72.2 92.9 115.9 28.0 23.6 0.7 65.6 85.2 107.3 23.4 22.7 0.8 60.4 78.9 100.4 19.9 21.8 0.85 58.2 76.3 97.4 18.4 21.4 ฦ᜔᧤࿶ਅߢߩߖࠎᢿᔕജIJ ޓ(kPa) 㪇 㪈㪇 㪉㪇 㪊㪇 㪋㪇 㪌㪇 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪇㪅㪐 㪈 ᦭ല☼⌕ജ ᦭ല☼⌕ജ 䇭 㪺㪼 㩿㫂 㪧㪸㪀 㑆㓗Ყ䇭㪼 㪇 㪈㪇 㪉㪇 㪊㪇 㪋㪇 㪌㪇 㪇㪅㪊 㪇㪅㪋 㪇㪅㪌 㪇㪅㪍 㪇㪅㪎 㪇㪅㪏 㪇㪅㪐 㪈 ᦭ലౝㇱ៺ᡂⷺ ᦭ലౝㇱ៺ᡂ ⷺ䇭 㱢㪼 㩿㫦 㪀 㑆㓗Ყ䇭㪼 ࿑12 ᦭ല☼⌕ജ ceߣ㑆㓗Ყ㑐ଥ ࿑13 ᦭ലౝㇱ៺ᡂⷺǾeߣ㑆㓗Ყ㑐ଥ ࿑11  Hvorslev ߩ⎕უⷙḰ 㪇 㪌㪇 㪈㪇㪇 㪈㪌㪇 㪉㪇㪇 㪇 㪌㪇 㪈㪇㪇 㪈㪌㪇 㪉㪇㪇 㪉㪌㪇 㪼㪔㪇㪅㪋㪌 㪼㪔㪇㪅㪌 㪼㪔㪇㪅㪍 㪼㪔㪇㪅㪎 㪼㪔㪇㪅㪏 㪼㪔㪇㪅㪏㪌 ⎕უⷙḰ✢㩿㪼㪔㪇㪅㪋㪌㪀 ⎕უⷙḰ✢㩿㪼㪔㪇㪅㪌㪀 ⎕უⷙḰ✢㩿㪼㪔㪇㪅㪍㪀 ⎕უⷙḰ✢㩿㪼㪔㪇㪅㪎㪀 ⎕უⷙḰ✢㩿㪼㪔㪇㪅㪏㪀 ⎕უⷙḰ✢㩿㪼㪔㪇㪅㪏㪌㪀 䈞䉖 ᢿᔕജ 䇭 㱠 㩷㩿㫂㪧 㪸㪀 ု⋥ᔕജ䇭㱟㩷㩿㫂㪧㪸㪀

(8)

㧢㧚ᒝᐲቯᢙ⹏ଔߦߟ޿ߡߩ੹ᓟߩ⺖㗴ߣዷᦸ   ᓥ᧪ޔ቟ቯ⸘▚ߦ↪޿ࠄࠇߡ޿ࠆᒝᐲቯᢙߪޔ⹜㛎᧦ઙ㧔ឃ᳓᧦ઙ㧕߿࿶ኒ⁁ᘒߦࠃࠆ⹜㛎⚿ᨐ߇⇣ߥࠅޔ ⃻႐ߩߤߩࠃ߁ߥ⁁ᘒࠍ⴫⃻ߒߡ޿ࠆ߆ޔㆡ↪ߦᒰߚߞߡᷙੂߔࠆ႐㕙߇ᄙߊߺࠄࠇߚޕ  Hvorslev ⷙḰߦࠃࠆᒝᐲቯᢙߪޔ⎕უᤨߩ㑆㓗Ყߩ㑐ᢙߣ޿ࠊࠇޔ᦭ല៺ᡂⷺ Ǿeߪ৻ߟߩ࿯ߦߟ޿ߡታ ↪਄৻ቯߣ⷗ߥߒߡᏅߒߟ߆߃ߥߊޔߘߎߦ⥋ࠆᔕജ߿㑆㓗Ყߩ⁁ᘒߦߪή㑐ଥߢ޽ࠆޕ  ੹࿁ߩታ㛎⊛⎇ⓥߢߪޔㅢᏱ᜔᧤࿶ߩ᧦ઙߢޔೋᦼ᧦ઙࠍᄌ߃ߡᢙᄙߊߩታ㛎ࠍⴕ޿ޔ࿑10 ߦ␜ߒߚࠃ߁ ߦ࿶ኒᓟߩ㑆㓗Ყޔ⎕უᤨߩ㑆㓗Ყߣߖࠎᢿᒝߐߩ㑐ଥࠍ᳞߼ߚޕߘߩᚑᨐߣߒߡޔ࿑11㨪13 ߦ␜ߔࠃ߁ߦ 㑆㓗Ყߩ⇣ߥࠆ⹜ᢱߩ⎕უⷙḰ✢ߩ൨㈩㧔ߔߥࠊߜޔ᦭ലౝㇱ៺ᡂⷺǾe㧕ߪޔ㑆㓗Ყߦነࠄߕ߶߷৻ቯ୯ࠍ ␜ߒߡ޿ࠆ߽ߩߣ್ᢿߢ߈ߚޕ߹ߚޔHvorslev ⷙḰߩᒝᐲቯᢙࠍ⎕უᤨߩ㑆㓗Ყߢߥߊޔታ↪਄ޔቶౝ⹜㛎 ߩ࿶ኒ⚳ੌᤨޔߔߥࠊߜߖࠎᢿ㐿ᆎ೨ߩ㑆㓗Ყߢ࠺࡯࠲ࠍᢛℂߒߚ߇ޔታ↪਄ߩ໧㗴ߪή޿ߣࠊ߆ߞߚޕ੹ ࿁ߩታ㛎ߩታᣉᢙߪޔታ↪⊛ߦߪᢙ߇ᄙ޿߇ޔᢙࠍᷫࠄߒߡലᨐ⊛ߦǾeࠍ᳞߼ࠆߎߣߪน⢻ߢ޽ࠆޕ ߖࠎᢿ⹜㛎ߦࠃࠅ᦭ലౝㇱ៺ᡂⷺǾe߇᳞߹ࠆߎߣߢᰴߩࠃ߁ߥ೑ὐ߇᜼ߍࠄࠇࠆޕ߹ߕߪޔ⃻࿾ᢳ㕙ߦ߅ ߌࠆ㑆㓗Ყ߇ࠊ߆ࠇ߫ޔ࿑11 ߆ࠄޔ࿯߆߱ࠅ࿶㧔ု⋥ᔕജޔ߹ߚߪ᜔᧤࿶㧕ߦᔕߓߚ⎕უᤨߩߖࠎᢿᔕജ IJf ߇ផቯߢ߈ޔߐࠄߦ᦭ലౝㇱ៺ᡂⷺǾe߇᳞߹ߞߡ޿ࠆߎߣߢޔ⎕უⷙḰ✢߇ឬߌޔߘߩಾ ߢ޽ࠆ᦭ല☼⌕ ജce߇᳞߼ࠄࠇࠆޕ߹ߚޔ⃻࿾ߦ߅ߌࠆ⃻᦭ߩߖࠎᢿᒝᐲࠍޔ଀߃߫ޔࠨ࠙ࡦ࠺ࠖࡦࠣ⹜㛎ߦࠃࠅ᳞߼ޔߘ ߩ୯ࠍceߣߔࠇ߫ޔቶౝ⹜㛎߆ࠄ᳞߼ࠄࠇߚǾeߢ⎕უⷙḰ✢ࠍឬߊߎߣ߇น⢻ߣߥࠆޕએ਄ߩߎߣ߆ࠄޔ ቶౝ࿯⾰⹜㛎⚿ᨐ߆ࠄ᦭ലౝㇱ៺ᡂⷺǾeࠍ᳞߼ߡ߅ߊߎߣߢޔ⃻࿾ߩ࿾⋚ౝߩ⁁ᴫߦහߒߚߖࠎᢿᒝᐲቯᢙ ࠍ᳿ቯߢ߈ࠆ߽ߩߣ⠨߃ࠄࠇࠆޕ  㧚߅ࠊࠅߦ  ᕆ௑ᢳ㕙ߩ቟ቯ⸘▚ߢߪޔߘߩᒝᐲቯᢙࠍ޿߆ߦㆡಾߦ੍᷹ߔࠆ߆߇㐳޿㑆ߩ⺖㗴ߢ޽ߞߚޕ╩⠪ࠄߩࠣ ࡞࡯ࡊߪቶౝ⹜㛎ߢޔ޿߆ߦวℂ⊛ߦታ↪ߢ߈ࠆ୯ࠍ᳞߼ࠆ߆ߩታ㛎⊛ߥၮ␆⎇ⓥߦขࠅ⚵ࠎߢ߈ߚޕ  ᒝᐲ․ᕈߦࠨ࡚ࠢࠪࡦ߇ᄢ߈ߊᓇ㗀ߔࠆߎߣޔ㘻๺ᐲ߇޽ࠆ৻ቯ୯ࠍ⿥߃ࠆߣߘߩᓇ㗀߇ήߊߥࠆߥߤޔ ᒝᐲ⊒⃻ߩࡔࠞ࠾࠭ࡓߪ߆ߥࠅ⸃᣿ߢ߈ߚޕߒ߆ߒޔ቟ቯ⸘▚ߦ↪޿ࠆᒝᐲቯᢙcޔǾ ߦߟ޿ߡߪޔߘߩว ℂ⊛ߥ᳿ቯᣇᴺߦߟ޿ߡᧂ⸃᳿ߢ޽ߞߚޕ ᕆ௑ᢳ㕙ߩ፣უߪ⴫ጀㇱಽߢ↢ߓޔߘߩ⴫ጀߩߖࠎᢿ⹜㛎ߦ↪޿ࠆਇᡬੂߩ⹜ᢱߩណข߇ਇน⢻ߥ⁁ᴫߢޔ ੂߒߚណข⹜ᢱ߆ࠄวℂ⊛ߢታ↪น⢻ߥᒝᐲቯᢙࠍ޿߆ߦ᳿߼ࠆ߆߇⺖㗴ߢ޽ߞߚޕᒝᐲቯᢙߪޔHvorslev ߩ⎕უⷙḰߦࠃࠆ⠨߃߇วℂ⊛ߢޔߎࠇࠍታ↪࡟ࡌ࡞ߦㆡ↪ߢ߈ࠇ߫᦭ലߢ޽ࠆߎߣ߆ࠄޔᓥ᧪ߩታ㛎ߦട ߃ᣂߚߥታ㛎ࠍⴕߞߡޔHvorslev ߩ⎕უⷙḰߦࠃࠆᒝᐲቯᢙߩ᳿ቯࠍ⹜ߺޔߘߩታ↪น⢻ᕈ߇᣿ࠄ߆ߦߥߞ ߚޕ ߎߩࠃ߁ߥ৻ㅪߩၮ␆⊛ߥ⎇ⓥ߇ޔᢥൻ⽷߇⢛ᓟߦᕆ௑ᢳ㕙ࠍ߽ߟ႐วߩ፣უෂ㒾ᐲ੍᷹ߣߘߩ቟ోኻ╷ ߦᄢ޿ߦᓎ┙ߜޔᐢߊ࿖᳃ߩ቟ోߦߟߥ߇ࠆߣ⠨߃ࠄࠇࠆޕ੹ᓟޔឭ᩺ᚻᴺߩታ↪ൻࠍ⋡ᜰߒߚ⎇ⓥߦขࠅ ⚵ࠎߢ޿߈ߚ޿ޕ ෳ⠨ᢥ₂ 1) ᷓᎹ⦟৻㧘㈬൬৻ᚑ㧘ᵻ↰ାੳ㧘቟Ꮉ㇚ᄦ㧘ખ⍫㗅ሶ㧘⍹↰ఝሶ㧘㉿⷗⍮ᤘ㧘㑐⋡ቄ੫㧦ᱧผ⊛ᑪㅧ‛ᓟ⢛ᢳ㕙ߩ ቟ቯᕈ⹏ଔߩߚ߼ߩᒝᐲቯᢙߦ㑐ߔࠆၮ␆⊛⎇ⓥ㧘ᱧผㇺᏒ㒐ἴ⺰ᢥ㓸㧘Vol.1㧘pp.183-190㧘2007㧚

2) Hvorslev, M.J.: Physical Components of the Shear Strength of Saturated Clays, Proc. Res. Conf. on Shear Strength of Cohesive Soils, 1960. 3) ጊญᨰ᮸㧦࿯⾰ജቇ㧘ᛛႎၴ㧘p.168㧘1976㧚 4) ᦨ਄ᱞ㓶㧦࿯⾰ജቇ㧘ᛛႎၴ㧘pp.526-530㧘1969㧚 5) 㧔␠㧕࿯⾰Ꮏቇળ㧦࿯⾰Ꮏቇࡂࡦ࠼ࡉ࠶ࠢ㧔1982 ᐕ 㧕㧘╙ 6 ┨ ࿯ߩߖࠎᢿ㧘pp.205㨪206㧘1982㧚 6) ጊญᨰ᮸㧦࿯⾰ജቇ㧘ᛛႎၴ㧘pp.177-178㧘1976㧚 7) ౎ᧁೣ↵㧦቟ቯ⸃ᨆߩߚ߼ߩᒝᐲቯᢙ㧘࿾ߔߴࠅߩ࿾⋚Ꮏቇ⊛⻉໧㗴ߦ㑐ߔࠆࠪࡦࡐࠫ࠙ࡓ⺰ᢥ㓸㧘pp.19㨪24㧘1996㧚

参照

関連したドキュメント

Keywords: Convex order ; Fréchet distribution ; Median ; Mittag-Leffler distribution ; Mittag- Leffler function ; Stable distribution ; Stochastic order.. AMS MSC 2010: Primary 60E05

Therefore, with the weak form of the positive mass theorem, the strict inequality of Theorem 2 is satisfied by locally conformally flat manifolds and by manifolds of dimensions 3, 4

In particular, we consider a reverse Lee decomposition for the deformation gra- dient and we choose an appropriate state space in which one of the variables, characterizing the

Inside this class, we identify a new subclass of Liouvillian integrable systems, under suitable conditions such Liouvillian integrable systems can have at most one limit cycle, and

Inverse problem to determine the order of a fractional derivative and a kernel of the lower order term from measurements of states over the time is posed.. Existence, uniqueness

Using a clear and straightforward approach, we have obtained and proved inter- esting new binary digit extraction BBP-type formulas for polylogarithm constants.. Some known results

②防災協定の締結促進 ■課題

Amount of Remuneration, etc. The Company does not pay to Directors who concurrently serve as Executive Officer the remuneration paid to Directors. Therefore, “Number of Persons”