⥾ᅛࡵࡓ⣽⢏ศ㉁♟㉁◁ࡢᗈ⠊ᅖࡢࡦࡎࡳࣞ࣋ࣝ࡟࠾ࡅࡿኚᙧ࣭ᙉᗘ≉ᛶ

ᛂ⏝ຊᏛㄽᩥ㞟Vol.13 (2010ᖺ8᭶) ᅵᮌᏛ఍

⥾ᅛࡵࡓ⣽⢏ศ㉁♟㉁◁ࡢᗈ⠊ᅖࡢࡦࡎࡳࣞ࣋ࣝ࡟࠾ࡅࡿኚᙧ࣭ᙉᗘ≉ᛶ

Deformation and strength characteristics of compacted soil over a wide strain range

ᕝᑼᓧ୕*࣭୕ᾆࡳ࡞ࡳ**࣭㧗ᶫṇ࿴**࣭㫽ᒃᐉஅ***࣭ᕝཱྀ㈗அ****࣭⃅㇂ၨ*****

Shunzo KAWAJIRI㸪Minami MIURA㸪 Masakazu TAKAHASHI Nobuyuki TORII㸪 Takayuki KAWAGUCHI㸪 Satoru SHIBUYA

* ಟኈ㸦ᕤ㸧 ⚄ᡞ኱Ꮫ኱Ꮫ㝔༤ኈㄢ⛬ᚋᮇㄢ⛬ᕤᏛ◊✲⛉ᕷẸᕤᏛᑓᨷ㸦ࠛ657-8501⚄ᡞᕷℿ༊භ⏥ྎ⏫1̺1㸧

** ⚄ᡞ኱Ꮫ኱Ꮫ㝔༤ኈㄢ⛬๓ᮇㄢ⛬ᕤᏛ◊✲⛉ᕷẸᕤᏛᑓᨷ㸦ࠛ657-8501⚄ᡞᕷℿ༊භ⏥ྎ⏫1̺1㸧

***༤ኈ㸦ᕤ㸧 ⚄ᡞ኱Ꮫ኱Ꮫ㝔ຓᩍᕤᏛ◊✲⛉ᕷẸᕤᏛᑓᨷ㸦ࠛ657-8501⚄ᡞᕷℿ༊භ⏥ྎ⏫1̺1㸧

****༤ኈ㸦ᕤ㸧ภ㤋ᕤᴗ㧗➼ᑓ㛛Ꮫᰯ෸ᩍᤵ ⎔ቃ㒔ᕷᕤᏛ⛉㸦ࠛ042-8501ภ㤋ᕷᡞ಴⏫14̺1㸧

*****Ph.D㸪༤ኈ㸦ᕤ㸧⚄ᡞ኱Ꮫ኱Ꮫ㝔ᩍᤵᕤᏛ◊✲⛉ᕷẸᕤᏛᑓᨷ㸦ࠛ657-8501⚄ᡞᕷℿ༊භ⏥ྎ⏫1̺1㸧

An embankment failure often occurs in the events of earthquakes and/or rainfall attacks. In the stability and deformation analysis of embankment, it is important to manifest the effects of dry density, Ud , as well as the degree of compaction , Dc( = Ud / Udmax × 100), on stress - deformation characteristics of the fill material. However, the effects of Dc on the stress - deformation characteristics over a wide strain range are not well known for the well graded fill materials such as silty sand. In this study, the effects of compaction conditions in term of Dc on strength and deformation properties over a wide strain range were evaluated by using triaxial compression test on a silty sand. A fully digitized triaxial apparatus was employed for the testing. Note that the axial deformation was measured locally by using a pair of proximity transducer. A triaxial specimen was prepared using metal mould of 20cm high and 10cm in diameter, in which soil sample prepared with the water content at wopt was statistically compacted to Dc of 84, 90 and 98%.

Key Words :deformation and strength, degree of compaction, wide strain range

㸯㸬 ࡣࡌࡵ࡟

┒ᅵࡢࡼ࠺࡞⥾ᅛࡵᅵࢆᮦᩱ࡜ࡍࡿᅵᵓ㐀≀ࡢ᪋ᕤ

࡟ࡣ㸪⥾ᅛࡵᗘDc㸦= ┒ᅵࡢ஝⇱ᐦᗘU_df / ᐊෆ⥾ᅛࡵ

ヨ㦂࡟ࡼࡿ᭱኱஝⇱ᐦᗘUdmax㸧ࡀᇶ‽࡜࡞ࡗ࡚࠸ࡿ㸬

౛࠼ࡤἙᕝሐ㜵࡟࠾ࡅࡿ᪋ᕤ⟶⌮࡛ࡣ Dcࡢୗ㝈್࡜

ࡋ࡚㸪JIS A 1210㸦✺ᅛࡵ࡟ࡼࡿᅵࡢ⥾ᅛࡵヨ㦂᪉ἲ㸧 ࡢ᭱኱஝⇱ᐦᗘࡢ80%௨ୖ㸦Dc = 80%㸧ࡢ஝⇱ᐦᗘࢆ

つᐃࡋ࡚࠸ࡿ ¹⁾㸬ࡋ࠿ࡋ㸪DcࡣUdf ࡜Udmax࠿ࡽ⟬ฟࡉ

ࢀ࡚࠸ࡿࡓࡵ㸪ࡑࡢ್ࡢ኱ᑠࡀ┒ᅵࡢኚᙧ࣭ᙉᗘ≉ᛶ

࡜┤⤖ࡋ࡚࠸࡞࠸㸬ࡍ࡞ࢃࡕ㸪⌧≧࡛ࡣ┒ᅵ᪋ᕤ࡟౑

⏝ࡍࡿᆅ┙ᮦᩱࡢኚᙧ࣭ᙉᗘ≉ᛶࡀ㝧࡞ᙧ࡛タィ࡟཯

ᫎࡉࢀ࡚࠸ࡿ࡜ࡣゝ࠸㞴࠸㸬Dcࡀ኱ࡁࡃ࡞ࢀࡤ┒ᅵᮦ

ᩱࡢ㏱Ỉᛶࡸࡏࢇ᩿ᙉᗘ࡞࡝ࡢᕤᏛⓗᛶ㉁ࡀྥୖࡍࡿ

ࡇ࡜ࡣᐜ᫆࡟᝿ീࡀ࡛ࡁࡿ㸬ࡋ࠿ࡋ㸪⌧ᅾࡢタィ࣭᪋

ᕤ⟶⌮య⣔࡛ࡣ Dcࡢቑຍ࡟ࡼࡿ┒ᅵᮦᩱࡢᕤᏛⓗᛶ

㉁ࡢྥୖࢆᐃ㔞ⓗ࡟ホ౯ࡋ࡚཯ᫎࡍࡿ஦౛ࡣ⛥࡛࠶ࡿ㸬 ࡘࡲࡾ㸪Dcࡢቑຍ࡟క࠺┒ᅵᮦᩱࡢᕤᏛⓗᛶ㉁ࡢᨵ ၿࢆ᫂ࡽ࠿࡟ࡋ࡚ᐃ㔞໬ࡍࡿࡇ࡜ࡣ㸪ࡇࢀࡲ࡛పࡃタ ᐃࡉࢀࡓရ㉁⟶⌮್ࢆ㧗ࡃタᐃ࡛ࡁࡿࡇ࡜࡟࡞ࡿ㸬Ⰻ

ࡃ⥾ᅛࡵࡓ┒ᅵᮦᩱࡢᕤᏛⓗᛶ㉁ࢆṇᙜ࡟ホ౯ࡍࡿࡇ

࡜࡛ࡼࡾ⤒῭ⓗ࡞タィࡀྍ⬟࡜࡞ࡾ㸪ᅵᵓ㐀≀࡛࠶ࡗ

࡚ࡶࣞ࣋ࣝIIᆅ㟈࡟⪏࠼࠺ࡿタィ࣭᪋ᕤࡀྍ⬟࡜࡞ࡿ㸬 ௨ୖࡢࡼ࠺࡞ほⅬ࠿ࡽ㏆ᖺ㸪⥾ᅛࡵᅵࡢኚᙧ࣭ᙉᗘ

≉ᛶ࡟ཬࡰࡍ⥾ᅛࡵ᫬ࡢ஝⇱ᐦᗘࡸྵỈẚ ²⁾㸪౪ヨయ ࢧ࢖ࢬࡢᙳ㡪 ³⁾࡟ࡘ࠸࡚ࡢ◊✲ࡀ⾜ࢃࢀ࡚࠸ࡿ㸬ࡋ࠿

ࡋ㸪ᮏ◊✲࡛⏝࠸ࡓࡼ࠺࡞⣽⢏ศࢆከࡃྵࡴᆅ┙ᮦᩱ

ࢆᑐ㇟࡜ࡋࡓヨ㦂⤖ᯝࡣᑡ࡞࠸㸬ࡲࡓ㸪⥾ᅛࡵᅵࡢᚤ ᑠࡦࡎࡳ࡛ࣞ࣋ࣝࡢኚᙧಀᩘ࡜㠀᤼Ỉࡏࢇ᩿ᙉᗘ࡟ࡘ

࠸࡚ࡢሗ࿌౛ࡣᑡ࡞ࡃ㸪ࡇࢀࡽࡢ㛵㐃ᛶࢆ᳨ウࡍࡿࡇ

࡜ࡣ௒ᚋ㸪᪤Ꮡ┒ᅵࡢ⌧≧ᢕᥱࡸኚᙧண ࣭◚ቯᙉᗘ ᥎ᐃ࡟ᐤ୚ࡍࡿྍ⬟ᛶࡀ࠶ࡾ㸪ࡑࡢព⩏ࡣ኱ࡁ࠸㸬᭱

㏆㸪┒ᅵࡢ⥾ᅛࡵ≧ἣࡢᢕᥱࡸ⮬↛ሁ✚ᆅ┙ࡢ⌧≧ホ ౯ࡢࡓࡵ࡟⾲㠃Ἴ᥈ᰝࢆ౑⏝ࡍࡿ஦౛ࡀቑ࠼࡚࠸ࡿ

4),5),6),7)㸬⾲㠃Ἴ᥈ᰝࡣᑐ㇟ᆅ┙ࡢ S Ἴ㏿ᗘᵓ㐀ࢆ㠀◚

ቯ࡛ᚓࡿࡇ࡜ࡀ࡛ࡁࡿ㸬ࡇࡢSἼ㏿ᗘ㸦Vs㸧ᵓ㐀࡜ᐦ ᗘ᳨ᒙࡸ RI ヨ㦂ࡼࡾᚓࡿࡇ࡜ࡀ࡛ࡁࡿ‵₶ᐦᗘU_t࠿

ࡽᚤᑠࡦࡎࡳࣞ࣋ࣝ࡟࠾ࡅࡿᆅ┙ࡢ๛ᛶ㸦ࡏࢇ᩿ᙎᛶ ಀᩘG = U_t㺃(Vs)²㸧ࡢศᕸࢆᚓࡿࡇ࡜ࡀ࡛ࡁࡿ㸬ࡋ࠿ࡋ㸪 ᚓࡽࢀࡓG࠿ࡽ┒ᅵࡢኚᙧண ࡸ◚ቯᙉᗘ᥎ᐃࢆ⾜࠺

応用力学論文集 Vol.13, pp.355-362  （2010年8月） 土木学会

࡟ࡣ㸪ཎ఩⨨࡛࡝ࡢࡼ࠺࡞ᛂຊࡸࡦࡎࡳ≧ែࢆ཯ᫎࡋ

࡚࠸ࡿ࠿ཎ఩⨨ࡢ」㞧࡞ᛂຊ࡜ࡦࡎࡳᒚṔࢆ෌⌧ࡋࡓ ᐊෆヨ㦂ࡼࡗ࡚☜ㄆࡍࡿᚲせࡀ࠶ࡿ㸬

ࡑࡇ࡛ᮏ◊✲࡛ࡣ㸪Ἑᕝሐ㜵ࡢᨵಟ⌧ሙ࡛᥇ྲྀࡉࢀ

ࡓ⣽⢏ศࢆྵࢇࡔ◁♟ࢆᑐ㇟࡟㸪Ἑᕝሐ㜵ࡢᾐ㏱᫬ࡢ

෇ᘼࡍ࡭ࡾ࡟ᑐࡍࡿᏳᐃゎᯒ࡟ࡣCUヨ㦂࠿ࡽᚓࡽࢀ

ࡓᙉᗘᐃᩘࢆ౑⏝ࡍࡿ ⁸⁾ࡇ࡜࡜㸪⣽⢏ศࡢᙳ㡪࡟ࡼࡗ

࡚◚ቯ᫬࡟ࡣ㠀᤼Ỉ᮲௳ୗ࡟࠶ࡿ࡜⪃࠼࡚㸪㠀᤼Ỉࡏ

ࢇ᩿᫬ࡢᗈ⠊ᅖࡢࡦࡎࡳ࡟࠾ࡅࡿኚᙧᣲືࢆ ᐃࡋࡓ㸬 ࡑࡋ࡚㸪ᚤᑠࡦࡎࡳࣞ࣋ࣝ࠿ࡽ◚ቯ࡟⮳ࡿࡲ࡛ࡢኚ ᙧ࣭ᙉᗘ≉ᛶ࡟ཬࡰࡍ⥾ᅛࡵຠᯝ࡜ᣊ᮰ᅽࡢᙳ㡪࡟ࡘ

࠸࡚㆟ㄽࡋ࡚࠸ࡿ㸬 㸰. ヨᩱ࠾ࡼࡧヨ㦂ᴫせ

㸰㸬㸯 ヨᩱ࠾ࡼࡧ౪ヨయ

ᅗ㸫㸯ࡣヨ㦂࡟⏝࠸ࡓヨᩱࡢ⢏ᗘ᭤⥺࡛࠶ࡾ㸪ヨᩱ

ࡣᾷᕝࡢሐ㜵ᙉ໬ᕤ஦࡛౑⏝ࡉࢀ࡚࠸ࡿ⣽⢏ศ㉁♟㉁

◁㸦SFG㸧㸦Us = 2.65 g/cm³㸪wL = 33.9%㸪wP = 20.8%㸧

࡛࠶ࡿ㸬ヨᩱࡣ౪ヨయࡢࢧ࢖ࢬ㸦┤ᚄ10cm×㧗ࡉ20cm㸧

ࢆ⪃៖ࡋ࡚㸪Dmax = 19mm࡟⢏ᗘㄪᩚࡋࡓ㸬ᅗ㸫㸰ࡣ

JIS A 1210࡟つᐃࡉࢀࡿAἲ࠾ࡼࡧBἲ࡟‽ࡌ࡚ᐇ᪋

ࡋࡓ⥾ᅛࡵヨ㦂⤖ᯝ࡛࠶ࡿ㸬ࡇࡇ࡛㸪Aἲࡣ࣮ࣔࣝࢻ ෆᚄ10cm㸪⥾ᅛࡵᅇᩘ25ᅇ㸪チᐜ᭱኱⢏ᚄ19mm࡜ つᐃࡉࢀ࡚࠸ࡿ㸬୍᪉㸪Bἲࡣ࣮ࣔࣝࢻෆᚄ15cm㸪⥾

ᅛࡵᅇᩘ55ᅇ㸪チᐜ᭱኱⢏ᚄ37.5mm࡜つᐃࡉࢀ࡚࠸

ࡿ㸬ලయⓗ࡟ࡣ㸪A-bἲ࡛ࡣDmax = 19mm࡟⢏ᗘㄪᩚ

ࡋࡓヨᩱࢆ⏝࠸࡚㸪B-c ἲ࡛ࡣཎ⢏ᗘࡢヨᩱࢆ⏝࠸࡚

ࡑࢀࡒࢀ⥾ᅛࡵヨ㦂ࢆᐇ᪋ࡋ࡚࠸ࡿࡇ࡜࡟࡞ࡿ㸬⥾ᅛ

ࡵ࢚ࢿࣝࢠ࣮ࡣA㸪Bἲ࡟ࡼࡽࡎEc = 550kJ/m³࡛࠶ࡿ㸬 ᮏヨ㦂࡟⏝࠸ࡓヨᩱࡢ⥾ᅛࡵ᭤⥺ࡣ㸪஝⇱ഃ࡛ⱝᖸࡢ

஋㞳ࡀ࠶ࡿࡶࡢࡢA-bἲ࡜B-cἲࡢ㐪࠸࡟ࡼࡿ᭱኱஝

⇱ᐦᗘU_dmax࠾ࡼࡧ᭱㐺ྵỈẚwoptࡢ㐪࠸ࡣᑠࡉ࠸㸬ࡇ

ࢀࡣDmax = 19mm࡟⢏ᗘㄪᩚࡋࡓヨᩱ࡜ཎ⢏ᗘ࡜ࡢ⢏

ᗘศᕸࡢ㐪࠸ࡢᙳ㡪ࡀ࠶ࡲࡾ཯ᫎࡉࢀࡎ㸪ྠ୍ࡢ⥾ᅛ

ࡵ࢚ࢿࣝࢠ࣮࡛⥾ᅛࡵࡽࢀࡓࡓࡵ㸪ྠ⛬ᗘࡢU_dmax࠾ࡼ

ࡧwoptࡀᚓࡽࢀࡓ࡜⪃࠼ࡽࢀࡿ㸬௨ୖࡢ⤖ᯝࢆ຺᱌ࡋ

࡚ᮏ◊✲࡛ࡣ㸪ཎ⢏ᗘࡢヨ㦂⤖ᯝ࡛࠶ࡿBἲࡼࡾᚓࡽ

ࢀࡓUdmax࠾ࡼࡧwoptࢆ᥇⏝ࡋ࡚౪ヨయࢆస〇ࡋࡓ㸬 ౪ヨయࡣ⮬↛஝⇱≧ែ࡟࠶ࡿヨᩱ࡟⵨␃Ỉࢆຍ࠼㸪

୍ᵝ࡟ΰྜࡋ࡚wopt࡟࡞ࡿࡼ࠺࡟ྵỈẚㄪᩚࢆ⾜ࡗࡓ㸬

ࡑࡢᚋ㸪ᡤᐃࡢD㸦Uc d㸧ࡀᚓࡽࢀࡿ㔞ࡢヨᩱࢆ┤ᚄ10cm

࠾ࡼࡧ㧗ࡉ20cm ࡢ౪ヨయస〇⏝ࡢ஧ࡘ๭ࢀ࣮ࣔࣝࢻ

࡟5ᒙ࡟ศࡅධࢀ㸪㍕Ⲵࣇ࣮࣒ࣞ࡟Ἔᅽࢪࣕࢵ࢟ࢆྲྀ

ࡾ௜ࡅࡓ⿦⨨ࢆ⏝࠸࡚㟼ⓗ࡟⥾ᅛࡵࡓ㸬࡞࠾㸪ᮏ◊✲

࡛ࡣDcࡢ㐪࠸ࡀኚᙧ࣭ᙉᗘ≉ᛶ࡟୚࠼ࡿᙳ㡪ࢆᢕᥱࡍ

ࡿࡇ࡜ࢆ┠ⓗ࡜ࡋ࡚࠸ࡿࡓࡵ㸪࣐࣮ࣛࣥࢆ⏝࠸ࡓ✺ࡁ ᅛࡵ࡟ࡼࡿ౪ヨయࡢస〇᪉ἲࡼࡾࡶṇ☜࠿ࡘ⡆౽࡟

Dc㸦U_d㸧ࡢࢥࣥࢺ࣮ࣟࣝࡀྍ⬟࡛࠶ࡿ㟼ⓗ⥾ᅛࡵ࡟ࡼ

ࡿ౪ヨయࡢస〇᪉ἲࢆ᥇⏝ࡋࡓ㸬ࡓࡔࡋ㸪࣐࣮ࣛࣥࢆ

⏝࠸ࡓ✺ࡁᅛࡵ࡟ࡼࡿືⓗ࡞⥾ᅛࡵ࡟ࡼࡿ౪ヨయ࡜㟼

ⓗ࡞⥾ᅛࡵ࡟ࡼࡿ౪ヨయ࡛ࡣຊᏛᣲືࡀ␗࡞ࡿࡇ࡜ࡀ ண᝿ࡉࢀࡿ⁹⁾㸬

㸰㸬㸰 ヨ㦂⿦⨨

ᮏ◊✲࡟࠾ࡅࡿࡍ࡭࡚ࡢヨ㦂ࡣ㧗⢭ᗘࢹࢪࢱࣝࢧ࣮

࣮࣎ࣔࢱࢆ㍕Ⲵ⿦⨨࡜ࡋࡓ୕㍈ヨ㦂⿦⨨ࢆ⏝࠸࡚ᐇ᪋

ࡋ㸪ࢹ࣮ࢱࡢ཰㞟࠾ࡼࡧไᚚࡣࣃ࣮ࢯࢼࣝࢥࣥࣆ࣮ࣗ

ࢱ࡟ࡼࡗ࡚⮬ື໬ࡉࢀ࡚࠸ࡿ¹⁰⁾㸬౪ヨయࢧ࢖ࢬࡣ㸪♟

ᮦ➼ࡶྵࢇࡔ┒ᅵᮦᩱࢆᑐ㇟࡜ࡋ࡚࠸ࡿࡓࡵ㸪┤ᚄ ᅗ㸫㸯 ヨ㦂࡟⏝࠸ࡓヨᩱࡢ⢏ᚄຍ✚᭤⥺

0.01 1 100

0 20 40 60 80 100

⢏ᚄ(mm)

㏻㐣ⓒศ⋡ (%)

ᾷᕝ ཎ⢏ᗘ

19mm௨ୗඛ࡜࠺⢏ᚄ

U'_c= 1.7 U_c = 185

ᅗ㸫㸱 ᮏ◊✲࡛⏝࠸ࡓᒁᡤࡦࡎࡳ ᐃࢩࢫࢸ࣒

䝨䝕䝇䝍䝹 䝫䞊䝷䝇䝇䝖䞊䞁

஧㔜⟶䝡䝳䞊䝺䝑䝖 䛻᥋⥆

㛫㝽Ỉᅽu_w

䜻䝱䝑䝥

䝫䞊䝷䝇䝇䝖䞊䞁

⫼ᅽu_b

㠀᥋ゐኚ఩ィ

㔪 䝍䞊䝀䝑䝖 ౪ヨయ

0 4 8 12 16 20 24

1.60 1.70 1.80 1.90 2.00 2.10

ྵỈẚ,w(%)

஝⇱ᐦᗘ, Ud (g/cm3 )

: Aíbἲ

(U_d = 1.953g/cm³, w_opt = 11.8%) ᾷᕝ

ࢮࣟ

✵Ẽ 㛫㝽

᭤⥺

: Bícἲ

(U_d = 1.959g/cm³, w_opt = 11.3%)

ᅗ㸫㸰 ヨ㦂࡟⏝࠸ࡓヨᩱࡢ⥾ᅛࡵ᭤⥺

10cm㸪㧗ࡉ20cm࡛࠶ࡿ㸬㍕Ⲵ⿦⨨࡟ࡣ㧗⢭ᗘࢹࢪࢱ

ࣝࢧ࣮࣮࣎ࣔࢱࡀྲྀࡾ௜ࡅࡽࢀ࡚࠸ࡿ㸬ࡇࡢ࣮ࣔࢱ࣮

࡟ࡣᡤᐃࡢ㍕Ⲵ㏿ᗘࢆᚓࡿࡓࡵ࡟㸪ῶ㏿ᶵࡀྲྀࡾ௜ࡅ

ࡽࢀ࡚࠾ࡾ㸪࣮࣎ࣝࢫࣉࣛ࢖ࣥࢿࢪࢆ⏝࠸ࡿࡇ࡜࡛㸪

࣮ࣔࢱ࣮ࡢᅇ㌿㐠ືࢆࢫ࣒࣮ࢬ࡞㍈᪉ྥࡢୖୗ㐠ື࡟

㌿᥮ࡋ࡚࠸ࡿ㸬ࡲࡓ㸪࣮ࣔࢱ࣮ࡢᅇ㌿ᩘ㸪ῶ㏿ẚ㸪࣎

࣮ࣝࢿࢪࡢ࣮ࣜࢻ㛗࠿ࡽィ⟬ࡉࢀࡓኚ఩ࡣࢺࢵࣉ࢟ࣕ

ࢵࣉࡢኚ఩࡜୍⮴ࡍࡿࡇ࡜ࢆ☜ㄆࡋ࡚࠸ࡿ㸬ᅗ㸫㸱ࡣ ᮏヨ㦂ࢩࢫࢸ࣒࡛᥇⏝ࡋࡓᒁᡤ㍈ࡦࡎࡳࡢ ᐃࢩࢫࢸ

࣒࡛࠶ࡿ㸬౪ヨయ➃㒊࡜ࢺࢵࣉ࢟ࣕࢵࣉࡸ࣌ࢹࢫࢱࣝ

࡜ࡢ᥋ゐᦶ᧿ࡸ࣋ࢹ࢕ࣥࢢ࢚࣮ࣛࡢᙳ㡪¹¹⁾ࢆ⪃៖ࡋ࡚㸪 ౪ヨయഃ㠃࡟౪ヨయ୰ኸ㒊࠿ࡽྠ⛬ᗘࡢ఩⨨࡜࡞ࡿࡼ

࠺࡟ࢱ࣮ࢤࢵࢺࢆタ⨨ࡋ㸪ࡑࢀࡽࡢኚ఩ࢆ㠀᥋ゐᆺኚ

఩ィ࡛ィ ࡍࡿࡇ࡜࡟ࡼࡗ࡚ᒁᡤࡦࡎࡳ(Ha)localࢆ ᐃ ࡋࡓ㸬࣮ࣔࢱ࣮ࡢᅇ㌿㔞࠿ࡽィ⟬ࡋࡓ㍈ࡦࡎࡳ(H_a)motor

ࢆ⏝࠸ࡓ㝿࡟ᚓࡽࢀࡓࣖࣥࢢ⋡ࡣࡇࢀࡲ࡛ࡢ◊✲ᡂᯝ

12)ࡼࡾ࠿࡞ࡾᑠࡉ࠸್࡜࡞ࡗࡓࡀ㸪(H_a)localࢆ⏝࠸ࡓሙ

ྜࡢࣖࣥࢢ⋡ࡣࡇࢀࡲ࡛ࡢ◊✲ᡂᯝ࡜ྠ⛬ᗘ࡛࠶ࡗࡓ

10)㸬ࡼࡗ࡚㸪ᮏᩥ࡟࠾ࡅࡿ⧞㏉ࡋ㍕Ⲵ࠾ࡼࡧ༢ㄪ㍕Ⲵ

᫬ࡢࣖࣥࢢ⋡ࡣq ~ (Ha)local㛵ಀࢆ⏝࠸࡚⟬ฟࡋ࡚࠸ࡿ㸬

㸰㸬㸱 ヨ㦂᪉ἲ࣭᮲௳

࣓ࣥࣈࣞࣥࢆ⿦╔ࡋࡓ౪ヨయࢆ୕㍈ࢭࣝෆ࡟タ⨨ᚋ㸪

஧㔜㈇ᅽἲ࡜⫼ᅽ㸦200kPa㸧ࢆే⏝ࡍࡿࡇ࡜࡛㣬࿴໬

ࢆᅗࡗ࡚࠸ࡿ㸬࡞࠾㸪B್ࡣࡍ࡭࡚ࡢヨ㦂࡛0.96௨ୖ

࡛࠶ࡿ㸬ࡲࡓ㸪㣬࿴࡟ࡼࡿయ✚ኚ໬ࡣDc = 85%ࡢ౪ヨ య࡟ࡘ࠸࡚ࡣ0.1%⛬ᗘࡢయ✚཰⦰ࡀ࠶ࡾ㸪Dc = 100%

ࡢ౪ヨయ࡟ࡘ࠸࡚ࡣ 0.2%⛬ᗘࡢయ✚⭾ᙇࡀ࠶ࡗࡓ㸬

Dc = 90%ࡢ౪ヨయ࡟ࡘ࠸࡚ࡣయ✚ኚ໬ࡀᴟࡵ࡚ᑠࡉ࠿

ࡗࡓ㸬

⾲㸫㸯ࡣヨ㦂᮲௳ࡢࡲ࡜ࡵ࡛࠶ࡿ㸬B್ࢆ☜ㄆᚋ࡟

ࡑࢀࡒࢀࡢ Dc ࡢ౪ヨయ࡟ᑐࡋ࡚㸪㍈ᛂຊቑຍ㏿ᗘ

1kPa/min ࡛ᡤᐃࡢ᭷ຠᣊ᮰ᅽࡲ࡛➼᪉ᅽᐦࢆᐇ᪋ࡋ㸪

ᡤᐃࡢ᭷ຠᣊ᮰ᅽ୍࡛᫬㛫⛬ᗘ᤼Ỉࢡ࣮ࣜࣉࡉࡏࡓ㸬 ࡑࡢᚋ㸪ࢭࣝᅽV_c୍ᐃࡢࡲࡲ㠀᤼Ỉ≧ែ࡛H_a = 15%ࡲ

࡛㍈ࡦࡎࡳ㏿ᗘdHa / dt = 0.05%/minࡢ༢ㄪ㍕Ⲵࢆ⾜ࡗ ࡓ㸬ࡲࡓ㸪ࡍ࡭࡚ࡢヨ㦂࡛ᅽᐦ⤊஢ᚋ㸦༢ㄪ㍕Ⲵ๓㸧

࡟㍕Ⲵ࣮ࣔࢻࡢ㐪࠸ࡀࣖࣥࢢ⋡࡟୚࠼ࡿᙳ㡪ࢆ᳨ウࡍ

ࡿࡓࡵ㸪⧞㏉ࡋ㍕Ⲵヨ㦂ࢆᐇ᪋ࡋࡓ㸬ලయⓗ࡟ࡣ㸪ࡲ

ࡎ㠀᤼Ỉ᮲௳ୗ࡛ࡢ⧞㏉ࡋ㍕Ⲵヨ㦂ࢆᐇ᪋ࡋ࡚㸪୍᪦

㐣๫㛫㝽Ỉᅽࢆᾘᩓࡉࡏࡓᚋ㸪᤼Ỉ᮲௳ୗ࡛ࡢ⧞㏉ࡋ

㍕Ⲵヨ㦂ࢆᐇ᪋ࡋࡓ㸬ࡑࡢ㝿㸪⧞㏉ࡋ㍕Ⲵ᫬࡟࠾ࡅࡿ

∦᣺ᖜ㍈ࡦࡎࡳࡣ(Ha)SA = 0.005%࡜ࡋ㸪㠀᤼Ỉ⧞㏉ࡋ㍕

Ⲵࡣ㍕Ⲵ㏿ᗘdH_a / dt = 0.2 %/min㸪⧞㏉ࡋᅇᩘNcyc = 5㸪

᤼Ỉ⧞㏉ࡋ㍕Ⲵࡣ㍕Ⲵ㏿ᗘdHa / dt = 0.02 %/min㸪⧞㏉

ᅗ㸫㸲 య✚ࡦࡎࡳ ~ ⤒㐣᫬㛫㛵ಀ 㸦a)Dc = 85%㸪b)Dc = 90%㸪c)Dc = 98%㸧

E_max 1

'q

'H_a 1

E_sec 1

E_eq

H_a)_SA

q

H_a

ᅗ㸫㸴 ᮏ◊✲࡟࠾ࡅࡿࣖࣥࢢ⋡ࡢᐃ⩏

ᅗ㸫㸳 య✚ࡦࡎࡳ ~ ⥾ᅛࡵᗘ㛵ಀ 6

4 2 0

6 4 2 0

0 50 100 150 200 250

6 4 2 0

: p' = 50 kPa : p' = 100 kPa

⤒㐣᫬㛫 , t (min) య✚ࡦࡎࡳ, Hv (%)

: p' = 150 kPa a) D_c = 85 %

dVa / dt = 1.0 (kPa/min)

b) D_c = 90 %

c) D_c = 98 % య✚ࡦࡎࡳ, Hv (%)య✚ࡦࡎࡳ, Hv (%)

, , , , , ,

80 85 90 95 100 105

6 4 2 0

: p' = 50 kPa : p' = 100 kPa

⥾ᅛࡵᗘ , D_c (%) య✚ࡦࡎࡳ, Hv (%)

: p' = 150 kPa

⾲㸫㸯 ヨ㦂᮲௳ࡢࡲ࡜ࡵ

┠ᶆ⥾ᅛࡵᗘ Dc (%)

஝⇱ᐦᗘ Ud (g/cm³)

᭷ຠᣊ᮰ᅽ p'(kPa) 85 1.665 90 1.763 98 1.920

50㸪 100㸪 150

ࡋᅇᩘNcyc = 2࡜ࡋࡓ㸬࡞࠾㸪(H_a)SA ࡣ࠶ࡃࡲ࡛ࡶඛ㏙

ࡋࡓ(Ha)motor࡟ᇶ࡙࠸࡚タᐃࡉࢀࡓ್࡛࠶ࡿࡓࡵ㸪ᐇ㝿

ࡢ(H_a)localࡣ(H_a)motor࡜ẚ㍑ࡍࡿ࡜4 ~ 5๭⛬ᗘᑠࡉࡃ࡞ࡿ㸬

ࡲࡓ㸪ᮏ◊✲࡛ࡣᚤᑠࡦࡎࡳࣞ࣋ࣝ࡟࠾ࡅࡿኚᙧ࣭ᙉ ᗘ≉ᛶࡢṇ☜࡞ᢕᥱࢆ┠ⓗ࡜ࡋ࡚࠸ࡿࡓࡵ౪ヨయୖୗ

➃㠃࡟ࢁ⣬࡞࡝ࡣ୍ษᩜ࠸࡚࠸࡞࠸㸬 㸱.ヨ㦂⤖ᯝ࠾ࡼࡧ⪃ᐹ

㸱㸬㸯 ᅽᐦ㔞࡟ཬࡰࡍ⥾ᅛࡵᗘ࠾ࡼࡧ᭷ຠᣊ᮰ᅽࡢ ᙳ㡪

ᅗ㸫㸲a)㸪b)㸪c)ࡣࡑࢀࡒࢀDc = 85%㸪90%㸪98%࡛

⥾ᅛࡵࡓ౪ヨయࡢ➼᪉ᅽᐦ᫬ࡢయ✚ࡦࡎࡳHv࡜⤒㐣᫬

㛫tࡢ㛵ಀ࡛࠶ࡿ㸬ࡑࢀࡒࢀࡢ౪ヨయ࡛᭷ຠᣊ᮰ᅽp' ࡀ኱ࡁࡃ࡞ࡿ࡯࡝Hvࡀ኱ࡁࡃ࡞ࡿࡇ࡜ࡀࢃ࠿ࡿ㸬ࡲࡓ㸪 Dcࡀ኱ࡁࡃ࡞ࡿ࡜ p' ࡢቑຍ࡟ᑐࡍࡿHvࡢቑຍࡀⴭࡋ ࡃᑠࡉࡃ࡞ࡗ࡚࠸ࡿࡇ࡜ࡀࢃ࠿ࡿ㸬ᅗ㸫㸳ࡣᅽᐦ⤊஢

᫬ࡢయ✚ࡦࡎࡳHv࡜Dcࡢ㛵ಀ࡛࠶ࡿ㸬p' = 150kPaࡢ⤖

ᯝ࡟╔┠ࡍࡿ࡜㸪Dc = 85%࡜Dc = 98%࡛ࡢH_vࡣ⣙4ಸ

⛬ᗘࡢ㐪࠸ࡀ࠶ࡿ㸬ࡇࢀࡽࡢ⤖ᯝࡣ㸪Ⰻࡃ⥾ᅛࡵࡿ㸦Dc

ࢆቑຍࡉࡏࡿ㸧ࡇ࡜࡟ࡼࡗ࡚᪋ᕤ᫬ࡢ┒ᅵࡢኚᙧࢆⴭ ࡋࡃᢚไ࡛ࡁࡿࡇ࡜ࢆ♧၀ࡋ࡚࠸ࡿ㸬

㸱㸬㸰 ᚤᑠࡦࡎࡳ㡿ᇦࡢኚᙧಀᩘ࡟ཬࡰࡍ⥾ᅛࡵᗘ

࠾ࡼࡧ᭷ຠᣊ᮰ᅽࡢᙳ㡪

ᅵᵓ㐀≀ࡢኚᙧࡸኚ఩ࡀၥ㢟࡜࡞ࡿ㝿࡟ᆅ┙ෆ࡛Ⓨ

⏕ࡍࡿࡦࡎࡳࡣ1%௨ୗ㸦◳㉁ᆅ┙࡛ࡣ0.1%௨ୗ㸧࡛

࠶ࡿ¹²⁾ࡇ࡜࠿ࡽ㸪ᅵᵓ㐀≀ࡢ⢭☜࡞ኚ఩࣭ኚᙧண ࡟ ࡣᆅ┙ᮦᩱࡢᚤᑠࡦࡎࡳ㹼ᑠࡦࡎࡳ㡿ᇦࡢኚᙧ≉ᛶࢆ

ᢕᥱࡍࡿᚲせࡀ࠶ࡿ㸬

ᮏ◊✲࡛ࡣᚤᑠ ~ ᑠࡦࡎࡳ㡿ᇦ࡛ࡢ ᐃࡋࡓࣖࣥ

ࢢ⋡ࢆᅗ㸫㸴ࡢࡼ࠺࡟ᐃ⩏ࡋࡓ㸬᭱኱ࣖࣥࢢ⋡Emaxࡣ ༢ㄪ㍕Ⲵ᫬ࡢ೫ᕪᛂຊq ~ ㍈ࡦࡎࡳH_a㛵ಀ࡟࠾ࡅࡿH_a d 0.001%ࡲ࡛ࡢq ~ H_a㛵ಀࢆ⥺ᙧ㏆ఝࡋࡓ࡜ࡁࡢഴࡁ

࡜ࡋࡓ㸬➼౯ࣖࣥࢢ⋡Eeqࡣ(Ha)SA = 0.005%࡜ࡋࡓ⧞㏉

ࡋ㍕Ⲵヨ㦂࠿ࡽᚓࡽࢀࡓq ~ H_a㛵ಀࡢ㡬Ⅼࢆ⤖ࡪഴࡁ

࡜ࡋࡓ㸬๭⥺ࣖࣥࢢ⋡Esecࡣ༢ㄪ㍕Ⲵࢆ⾜ࡗࡓ㝿ࡢq ~ H_a㛵ಀ࡟࠾ࡅࡿ'q / 'H_a࡜ࡋࡓ㸬࡞࠾㸪ᚓࡽࢀࡓࡑࢀࡒ

ࢀࡢࣖࣥࢢ⋡ࡣ㠀᤼Ỉ᮲௳ୗ࡛ࡢࣖࣥࢢ⋡࡛࠶ࡾ㸪ࣖ

ࣥࢢ⋡ࢆ⟬ฟࡋࡓࡦࡎࡳ㡿ᇦ࡟ࡘ࠸࡚ࡣ ᐃࡍࡿࡦࡎ

ࡳ࠾ࡼࡧ㍈ᛂຊࡢศゎ⬟㸪᥇ྲྀྍ⬟࡞ࢹ࣮ࢱᩘ㸪ࡑࡋ

࡚༑ศ࡞⥺ᙧᛶࢆ᭷ࡋ࡚࠸ࡿࡇ࡜ࢆ⪃៖ࡋ࡚Ỵᐃࡋ࡚

࠸ࡿ㸬

ᅗ㸫㸵a)㸪b)㸪c)ࡣࡑࢀࡒࢀDc = 85%㸪90%㸪98%ࡢ ౪ヨయ࡟ᑐࡍࡿEmaxࢆẚ㍑ࡋ࡚࠸ࡿ㸬q ~ H_a㛵ಀࡢഴ ࡁ࡛⾲ࡍࡇ࡜ࡀ࡛ࡁࡿEmaxࡣDc࠾ࡼࡧp'࡜࡜ࡶ࡟኱

ࡁࡃ࡞ࡗ࡚࠸ࡿ㸬ᅗ㸫㸶ࡣDc࡜p'ࡢቑຍ࡟ᑐࡍࡿEmax

ࡢኚ໬ࢆ⾲ࡋ࡚࠸ࡿ㸬 Dc࠾ࡼࡧp'ࡢቑຍ࡜࡜ࡶ࡟Emax

ࡣቑຍࡋ࡚࠸ࡿ㸬ᅗ୰ࡢᘧ࡟♧ࡋࡓᣦᩘࡣEmaxࡢp'ࡢ ᅗ㸫㸵 ␗࡞ࡿD_c࠾ࡼࡧp'࡟࠾ࡅࡿq ~ H_a㛵ಀ

㸦a)D_c = 85%㸪b)D_c = 90%㸪c)D_c = 98%㸧 0

5 10 15

0 5 10 15

0 0.001 0.002 0.003 0.004 0.005 0

5 10 15

㸸p' = 50 kPa 㸸p' = 100 kPa

㍈ࡦࡎࡳ , (H_a)_local (%) ೫ᕪᛂຊ, q(V'v-V'h) (kPa)

E_max = 223MPa

147MPa Ha = 0.001(%)

㸸p' = 150 kPa

ᾷᕝ㸦ᅽᐦ㠀᤼Ỉ୕㍈ᅽ⦰ヨ㦂㸧 dHa / dt = 0.05 (%/min)

a) D_c = 85 %

181MPa

b) D_c = 90 %

Ha = 0.001(%)

c) D_c = 98 %

Ha = 0.001(%)

E_max = 268MPa

164MPa 221MPa

E_max = 439MPa

249MPa 331MPa ,

, , , , ,

ᅗ㸫㸷 ➼᪉ᅽᐦ᫬࡟࠾ࡅࡿEmaxࡢኚ໬

㸦a) e ~ ln p' 㛵ಀ㸪b) e ~ ln Emax 㛵ಀ㸧 ᅗ㸫㸶 Emax ~ p' 㛵ಀ

200 400

20 70100 200 0.30

0.40 0.50 0.60

㛫㝽ẚ, e

ࣖࣥࢢ⋡, E_max (MPa)

᭷ຠᣊ᮰ຊ, p' (kPa)

ᾷᕝ : D_c = 85 %

a) b)

: D_c = 90 % : D_c = 98 % -0.038

-0.029

-0.019 1 1 1

-0.10 1

-0.067 1 -0.038

1

20 40 60 80 100 200

50 100 200 700 1000

ࣖࣥࢢ⋡, Emax (MPa)

᭷ຠᣊ᮰ᅽຊ, p' (kPa)

ᾷᕝ : D_c = 85 % (E_max/p_a = 34(p'/p_a) ^0.40)

: D_c = 90 % (E_max/p_a = 44(p'/p_a) ^0.44) : D_c = 98 % (E_max/p_a = 34(p'/p_a) ^0.47)

౫Ꮡᛶࢆ♧ࡋ࡚࠸ࡿ¹⁴⁾ࡀ㸪ࡑࡢ್ࡀ0.40 ~ 0.47ࡢ⊃࠸

⠊ᅖ࡟࠶ࡿࡇ࡜࠿ࡽEmaxࡢp' ౫ᏑᛶࡣDc࡟ࡣ኱ࡁࡃ ᙳ㡪ࡉࢀ࡞࠸࡜ゝ࠼ࡿ㸬࡞࠾㸪ᘧ୰ࡢpaࡣ↓ḟඖ໬ࡍ

ࡿࡓࡵࡢᇶ‽ᛂຊ࡛࠶ࡿ㸬

ᅗ㸫㸷a)ࡣ୍㐃ࡢヨ㦂࠿ࡽᚓࡽࢀࡓ㛫㝽ẚe ~ ln p'㛵

ಀ㸪ᅗ㸫㸷b)ࡣ㛫㝽ẚe ~ ln Emax㛵ಀ࡛࠶ࡿ㸬୧ᅗ࠿ࡽ

ࡇࢀࡽࡢ㛵ಀࡣᙉ࠸┦㛵ࡀ࠶ࡿࡇ࡜ࢃ࠿ࡿ㸬ࡋ࠿ࡋ㸪

⥾ᅛࡵ᫬ࡢ஝⇱ᐦᗘࡢ㐪࠸㸦Dcࡢ㐪࠸㸧࡛e ~ ln p'㛵 ಀ࠾ࡼࡧe ~ ln Emax㛵ಀࡢഴࡁࡀ␗࡞ࡗ࡚࠸ࡿ㸬ࡇࢀ

ࡣ㸪⥾ᅛࡵ᫬ࡢ஝⇱ᐦᗘࡢ㐪࠸࡟ࡼࡗ࡚ᅽᐦ≉ᛶࡀ኱

ࡁࡃ␗࡞ࡾ㸪ࡑࢀ࡟క࠺Emaxࡢቑῶࡢ⛬ᗘࡶ␗࡞ࡿࡇ

࡜ࢆ♧၀ࡋ࡚࠸ࡿ㸬

ᕝཱྀࡽ¹⁵⁾ࡣ㸪෌ᵓᡂࡋࡓNSF⢓ᅵ࠾ࡼࡧ஘ࡉ࡞࠸⢓

ᛶᅵ࡟ᑐࡋ࡚➼᪉ᛂຊ≧ែ࡛ᅽᐦ࠾ࡼࡧ⭾ᙇᒚṔࢆ୚

࠼㸪ṇつ࣭㐣ᅽᐦ≧ែ࡟࠾࠸࡚e ~ ln p' 㛵ಀࡣe ~ ln Emax㛵ಀ࡜ྠᵝ࡟ࡑࢀࡒࢀ⥺ᙧ㛵ಀ࡟࠶ࡿࡇ࡜ࢆ♧ࡋ

࡚࠸ࡿ㸬ࡑࡋ࡚㸪ࡇࡢ୧⪅ࡢ┦㛵㛵ಀ࡟╔┠ࡋ࡚ࡢኚ ᙧಀᩘࡢᐃᘧ໬ࢆ⾜ࡗ࡚࠸ࡿ㸬ࡲࡓ㸪⢓ᛶᅵࡢሙྜࡣ ኚᙧಀᩘࡢᨭ㓄ᅉᏊ࡜࡞ࡿe࡜p'ࡢ㛫࡟୍⩏ⓗ࡞ᚑᒓ 㛵ಀࡀ࠶ࡿ࡜ࡋ࡚㸪ᅽᐦ࡟క࠺ኚᙧಀᩘࡢቑῶࡀ㸪p' ࡀቑῶࡍࡿࡇ࡜࡛⏕ࡌࡿeࡢኚ໬࡟኱ࡁࡃᨭ㓄ࡉࢀࡿ

࡜௬ᐃࡍࡿࡇ࡜࡛㸪ኚᙧಀᩘࡢᐃᘧ໬࡟㝿ࡋ࡚eࢆ⏝

࠸ࡎ࡟p'ࢆ㛵ᩘ࡜ࡋ࡚⾲⌧ࡍࡿࡇ࡜࡟ᡂຌࡋ࡚࠸ࡿ㸬

ᮏ ヨ㦂⤖ᯝ࡛ࡣඛ࡟♧ࡋࡓࡼ࠺࡟⥾ᅛࡵ᫬ࡢU_d 㸦Dc㸧ࡢ㐪࠸࡟ࡼࡗ࡚ᅽᐦ≉ᛶ࠾ࡼࡧEmaxࡢቑຍഴྥ

ࡀ኱ࡁࡃ␗࡞ࡿࡓࡵU_d㸦ࡶࡋࡃࡣ e㸧ࢆࣃ࣓࣮ࣛࢱ࡜

ࡋࡓᐃᘧ໬ࡀᚲせ࡜࡞ࡿࡀ㸪e ~ ln p' 㛵ಀ࡜e ~ ln Emax

㛵ಀࡢ┦㛵㛵ಀࡣᙉ࠸ࡇ࡜࠿ࡽᕝཱྀࡽ¹⁵⁾࡜ྠᵝࡢ࢔ࣉ

࣮ࣟࢳ࡛ࡢᐃᘧ໬ࡀᮇᚅ࡛ࡁࡿ㸬ࡋ࠿ࡋ㸪ᮏヨ㦂⤖ᯝ ࡢࡳ࠿ࡽ࡛ࡣᐃᘧ໬࡟㝿ࡋ࡚ࡢ㐣ᅽᐦᒚṔࡸᛂຊẚࡢ ᙳ㡪࡞࡝ࡢᚲせ஦㡯ࡀ୙㊊ࡋ࡚࠸ࡿࡓࡵᐃᘧ໬࡟㛵ࡋ

࡚ࡣ௒ᚋࡢヨ㦂⤖ᯝࡢ⵳✚ࢆᚅࡗ࡚ሗ࿌ࡍࡿ㸬

㸱㸬㸱 ኚᙧಀᩘࡢࡦࡎࡳ౫Ꮡᛶ࡜㍕Ⲵ࣮ࣔࢻࡢ㐪࠸

࡟ࡼࡿ᳨ウ

ᅗ㸫㸯㸮a)㸪b)㸪c)ࡣࡑࢀࡒࢀDc = 85%㸪90%㸪98%

࡟ᑐࡍࡿᚤᑠࡦࡎࡳ~ᑠࡦࡎࡳ㡿ᇦࡲ࡛ࡢEsec ~ H_a㛵ಀ

ࢆ♧ࡋ࡚࠸ࡿ㸬ᅗ୰࡟ࡣᅗ㸫㸵࡛⟬ฟࡋࡓEmaxࡢ್ࡶ

♧ࡋ࡚࠸ࡿ㸬ࡍ࡭࡚ࡢヨ㦂⤖ᯝ࡟࠾࠸࡚ Esecࡣࡦࡎࡳ

࡟ᑐࡍࡿᙉ࠸㠀⥺ᙧᛶࡀ࠶ࡿࡇ࡜ࢆ☜ㄆ࡛ࡁࡿ㸬ࡲࡓ㸪 ࢹ࣮ࢱ࡟ࡤࡽࡘࡁࡀ㸪඲యࡢഴྥ࡜ࡋ࡚Dc = 98%࡛ࡣ ᙎᛶయ࡜ࡋ࡚ᢅ࠼ࡿࡦࡎࡳ㡿ᇦࡀDc = 85㸪90%࡜ẚ㍑

ࡋ࡚኱ࡁ࠸࡜ゝ࠼ࡿ㸬

ᅗ㸫㸯㸯ࡣEsecࢆEmax࡛ṇつ໬ࡋࡓEsec / Emax࡜Haࡢ 㛵ಀࢆ♧ࡋ࡚࠸ࡿ㸬ᅗ㸫㸯㸮࡛ᙎᛶయ࡜ࡋ࡚ᢅ࠼ࡿࡦ ࡎࡳ㡿ᇦࡀDc࡟ࡼࡗ࡚␗࡞ࡿࡇ࡜ࢆ♧ࡋࡓࡀDcࡢ㐪

࠸࡟ࡼࡗ࡚ᙎᛶయ࡜ࡋ࡚ᢅ࠼ࡿࡦࡎࡳ㡿ᇦࡢ⤯ᑐ್ࡢ ᕪࡀᑠࡉ࠸ࡓࡵ㸪ᮏ◊✲࡛⏝࠸ࡓヨᩱ࡟㛵ࡋ࡚ࡣ Dc

࠾ࡼࡧ p' ࡟ࡼࡽࡎ Emaxࢆ⏝࠸ࡿࡇ࡜࡛ᴫࡡṇつ໬࡛

ࡁࡿ㸬୍᪉㸪ࡇࢀࡲ࡛ࡢ◊✲ᡂᯝ࠿ࡽ࠾࠾ࡼࡑࡢഴྥ

࡜ࡋ࡚ࡁࢀ࠸࡞◁ࡸ⢓ᛶᅵ࡛ࡣHa = 0.1%⛬ᗘ௜㏆࡛

ᅗ㸫㸯㸮 Esec~ Ha㛵ಀ

㸦a)Dc = 85%㸪b)Dc = 90%㸪c)Dc = 98%㸧 0

100 200 300

0 100 200 300 400

0.00010 0.001 0.01 0.1

200 400 600

㸸p' = 50 kPa 㸸p' = 100 kPa

㍈ࡦࡎࡳ , (H_a)_local (%)

๭⥺ࣖࣥࢢ⋡, Esec (MPa)

E_max = 223MPa 181MPa 147MPa

ᅽᐦ᤼Ỉ୕㍈ᅽ⦰ヨ㦂 ᾷᕝ

E_max = 268MPa 221MPa 164MPa

㸸p' = 150 kPa ,,

, ,, ,

E_max = 439MPa 331MPa 249MPa

D_c =85%

D_c =90%

D_c =98%

ᅗ㸫㸯㸰 ༢ㄪ࠾ࡼࡧ⧞㏉ࡋ㍕Ⲵࡢq ~ Ha㛵ಀࡢẚ㍑

ᅗ㸫㸯㸯 E_sec / E_max~ H_a㛵ಀ

0.001 0.01 0.1

0.0 0.5 1.0 1.5

: p' = 50 kPa : p' = 100 kPa

㍈ࡦࡎࡳ , (H_a)_local (%) Esec / Emax

ᾷᕝ

: p' = 150 kPa ,

, ,

, , , D_c =85% 90% 98%

E_sec / E_max = 0.61

E_sec / E_max = 0.21

-0.005 0 0.005 0.01

-5 0 5 10 15

೫ᕪᛂຊ, q(V'v-V'h) (kPa)

㍈ࡦࡎࡳ , (H_a)_local (%) D_c = 90 % p' = 150 kPa ༢ㄪ㍕Ⲵ

E_max = 268MPa

⧞㏉ࡋ㍕Ⲵ E_eq = 250MPa ᾷᕝ

Esec / Emax = 0.5⛬ᗘ࡟࡞ࡿࡇ࡜ࡀሗ࿌ࡉࢀ࡚࠸ࡿ¹⁶⁾㸬 ࡋ࠿ࡋ㸪ᮏヨ㦂⤖ᯝࡣH_a = 0.1%⛬ᗘ௜㏆࡛Esec / Emax = 0.21࡛࠶ࡾ㸪Ha = 0.01%⛬ᗘ௜㏆࡛ࡣEsec / Emax = 0.61

࡜࡞ࡗࡓ㸬ࡍ࡞ࢃࡕ㸪ᮏ◊✲࡛⏝࠸ࡓヨᩱࡢᚤᑠ ~ ᑠ ࡦࡎࡳ㡿ᇦ࡛ࡢኚᙧ≉ᛶࡣ㸪ࡇࢀࡲ࡛࡟ሗ࿌ࡉࢀ࡚࠸

ࡿヨᩱࡢ⤖ᯝ࡜ẚ࡭࡚⬤ᛶⓗ࡛࠶ࡿ࡜࠸࠼ࡿ㸬௒ᚋ㸪

≀ᛶࡀ␗࡞ࡿヨᩱ࡟ᑐࡋ࡚ྠᵝ࡞ヨ㦂ࢆᐇ᪋ࡋ࡚㸪ヨ

ᩱࡢ୍ḟⓗᛶ㉁ࡀᚤᑠࡦࡎࡳ~ᑠࡦࡎࡳ㡿ᇦ࡛ࡢኚᙧ ಀᩘࡢࡦࡎࡳ౫Ꮡᛶ࡟ཬࡰࡍᙳ㡪࡟ࡘ࠸࡚ࡢ᳨ウࡀᚲ せ࡛࠶ࡿ࡜⪃࠼࡚࠸ࡿ㸬

㏆ᖺ㸪ᚤᑠࡦࡎࡳ࡛ࣞ࣋ࣝࡢኚᙧಀᩘ㸦ࡏࢇ᩿ᙎᛶ ಀᩘGࡸࣖࣥࢢ⋡E㸧ࡣ༢ㄪ㍕Ⲵ࡜⧞㏉ࡋ㍕Ⲵࡢ㐪࠸

ࡸ㸪㍕Ⲵ࿘Ἴᩘ㸪ࡦࡎࡳ㏿ᗘࡢ㐪࠸࡞࡝ࡢ㍕Ⲵ࣮ࣔࢻ

࡟ࡼࡽ࡞࠸ࡇ࡜ࡀሗ࿌ࡉࢀ࡚࠸ࡿ^{17), 18)}㸬ࡋ࠿ࡋ㸪ࡇࢀ

ࡽࡢ◊✲ᡂᯝࡣࡁࢀ࠸࡞◁ࡸ⢓ᛶᅵࢆᑐ㇟࡜ࡋࡓࡶࡢ ࡀከࡃ㸪ᮏ◊✲࡛⏝࠸ࡓࡼ࠺࡞ᖜᗈ࠸⢏ᗘศᕸࢆᣢࡘ

୰㛫ᅵࡢࡼ࠺࡞ᆅ┙ᮦᩱࡢ◊✲ᡂᯝࡣᑡ࡞࠸㸬ᅗ㸫㸯 㸰ࡣ⧞㏉ࡋ㍕Ⲵ࡜༢ㄪ㍕Ⲵ࡛ࡢヨ㦂⤖ᯝࡢ௦⾲౛࡛࠶

ࡾ㸪㍕Ⲵ࣮ࣔࢻࡢ㐪࠸࡟ࡼࡿࣖࣥࢢ⋡ࡢ㐪࠸ࢆẚ㍑ࡋ

࡚࠸ࡿ㸬Eeqࡣ Emax࡜ẚ㍑ࡋ࡚ࢃࡎ࠿࡟ᑠࡉ࠸㸬ࡋ࠿

ᅗ㸫㸯㸲 ᭷ຠᛂຊ⤒㊰

㸦a)Dc = 85%㸪b)Dc = 90%㸪c)Dc = 98%

0 50 100 150 200

0 50 100 150 200

㸸p' = 50 kPa 㸸p' = 100 kPa

ᖹᆒ᭷ຠᛂຊ, p' (=(V'_v+2V'_h)/3) (kPa) ೫ᕪᛂຊ, q(V'v-V'h) (kPa)

㸸p' = 150 kPa

ᾷᕝ㸦ᅽᐦ㠀᤼Ỉ୕㍈ᅽ⦰ヨ㦂㸧

M = 1.39 1

a) D_c = 85 %

0 50 100 150 200 250 300 350 0

50 100 150 200 250 300 350

㸸p' = 50 kPa 㸸p' = 100 kPa

ᖹᆒ᭷ຠᛂຊ, p' (=(V'_v+2V'_h)/3) (kPa) ೫ᕪᛂຊ, q(V'v-V'h) (kPa)

㸸p' = 150 kPa

ᾷᕝ㸦ᅽᐦ㠀᤼Ỉ୕㍈ᅽ⦰ヨ㦂㸧

M = 1.46 1

b) D_c = 90 %

0 200 400 600

0 200 400 600

㸸p' = 50 kPa 㸸p' = 100 kPa

ᖹᆒ᭷ຠᛂຊ, p' (=(V'_v+2V'_h)/3) (kPa) ೫ᕪᛂຊ, q(V'v-V'h) (kPa)

㸸p' = 150 kPa ᾷᕝ㸦ᅽᐦ㠀᤼Ỉ୕㍈ᅽ⦰ヨ㦂㸧

M = 1.64 1

c) D_c = 98 % ᅗ㸫㸯㸱 q࠾ࡼࡧ'uw~ Ha㛵ಀ

㸦a)Dc = 85%㸪b)Dc = 90%㸪c)Dc = 98%

0 50 100 150

0 5 10 15

0 100 200

㸸p' = 50 kPa 㸸p' = 100 kPa

㍈ࡦࡎࡳ , Ha (%) ೫ᕪᛂຊ, q(V'v-V'h) (kPa)

㸸p' = 150 kPa ᾷᕝ㸦ᅽᐦ㠀᤼Ỉ୕㍈ᅽ⦰ヨ㦂㸧

㐣๫㛫㝽Ỉᅽ , 'uw (kPa)

dHa / dt = 0.05 (%/min)

a) D_c = 85 %

0 50 100 150 200

0 5 10 15

0 100 200

㸸p' = 50 kPa 㸸p' = 100 kPa

㍈ࡦࡎࡳ , H_a (%) ೫ᕪᛂຊ, q(V'v-V'h) (kPa)

㸸p' = 150 kPa ᾷᕝ㸦ᅽᐦ㠀᤼Ỉ୕㍈ᅽ⦰ヨ㦂㸧

㐣๫㛫㝽Ỉᅽ , 'uw (kPa)

dHa / dt = 0.05 (%/min)

b) D_c = 90 %

0 200 400 600 800

0 5 10 15

-100-50100500

㸸p' = 50 kPa 㸸p' = 100 kPa

㍈ࡦࡎࡳ , H_a (%) ೫ᕪᛂຊ, q(V'v-V'h) (kPa)

㸸p' = 150 kPa ᾷᕝ㸦ᅽᐦ㠀᤼Ỉ୕㍈ᅽ⦰ヨ㦂㸧

㐣๫㛫㝽Ỉᅽ , 'uw (kPa)

dHa / dt = 0.05 (%/min)

c) D_c = 95 %

ࡋ㸪Emaxࡣᅗ㸫㸵࡛♧ࡋࡓࡼ࠺࡟Ha d 0.001%࡛ࡢヨ㦂⤖

ᯝ࠿ࡽ⟬ฟࡋ࡚࠾ࡾ㸪୍᪉࡛ Eeqࢆồࡵࡿࡓࡵࡢ⧞㏉

ࡋ㍕Ⲵ᫬ࡢ(H_a)SA,local = 0. 002%ࡣᙎᛶ㡿ᇦࢆࢃࡎ࠿࡟㉸

࠼࡚࠸ࡿࡓࡵ㐣ᑠホ౯ࡉࢀ࡚࠸ࡿ࡜ゎ㔘ࡍࡿ࡜㸪ᮏ◊

✲࡛⏝࠸ࡓヨᩱࡣࡇࢀࡲ࡛ከࡃࡢ◊✲࡛ᑐ㇟࡜࡞ࡗ࡚

࠸ࡓࡁࢀ࠸࡞◁ࡸ⢓ᛶᅵ࡜ྠᵝ࡟ᚤᑠࡦࡎࡳ㡿ᇦ࡛ࡢ ኚᙧ≉ᛶ࡛࠶ࡿEmax࡜Eeqࡣ㍕Ⲵ࣮ࣔࢻ࡟ࡼࡽࡎ➼ࡋ

࠸࡜⪃࠼ࡽࢀࡿ㸬

㸱㸬㸲 㠀᤼Ỉࡏࢇ᩿ᙉᗘ࡟ཬࡰࡍ⥾ᅛࡵᗘ࠾ࡼࡧ᭷

ຠᣊ᮰ᅽࡢᙳ㡪

ᅗ㸫㸯㸱a)㸪b)㸪c)࠾ࡼࡧᅗ㸫㸯㸲a)㸪b)㸪c)ࡣࡑࢀࡒ

ࢀDc = 85%㸪90%㸪98%ࡢ౪ヨయ࡟ᑐࡋ࡚ᐇ᪋ࡋࡓ㠀

᤼Ỉ᮲௳ୗ࡛ࡢ༢ㄪ㍕Ⲵ᫬࡟࠾ࡅࡿq, 'u_w ~ H_a㛵ಀ࡜

᭷ຠᛂຊ⤒㊰࡛࠶ࡿ㸬

ᅗ㸫㸯㸱a)㸪b)㸪c)ࡢq, 'u_w ~ H_a㛵ಀࢆࡳࡿ࡜㸪Dc = 98%

ࡢ౪ヨయ࡛ࡣHa = 2%⛬ᗘࡲ࡛ࡣᛴ⃭࡟೫ᕪᛂຊࡣቑ ຍࡋࡓࡀࡑࢀ௨㝆ࡣቑຍࡀṆࡲࡾ㸪᫂☜࡞ࣆ࣮ࢡࡣ☜

ㄆ࡛ࡁ࡞࠸㸬ࡲࡓ㸪㐣๫㛫㝽Ỉᅽࡣࡏࢇ᩿ࡢึᮇẁ㝵

࡛ࡣṇࡢ㐣๫㛫㝽ỈᅽࡀⓎ⏕ࡍࡿࡀ㸪ࡑࡢᚋࡣ㈇ࡢ㐣

๫㛫㝽ỈᅽࡀⓎ⏕ࡋ㸪ࡑࡢᚋࡣቑຍࡋ⥆ࡅࡓ㸬Dc = 90㸪 85%ࡢ౪ヨయ࡛ࡣ㸪ࡏࢇ᩿ࡢึᮇẁ㝵࡛ࣆ࣮ࢡᙉᗘࢆ

♧ࡋ㸪ࡑࡢᚋࡣῶᑡࡋ࡚ṧ␃≧ែ࡟⮳ࡗ࡚࠸ࡿ㸬㐣๫

㛫㝽Ỉᅽ࡟㛵ࡋ࡚ࡋ࡚ࡣ㸪ࡏࢇ᩿ึᮇ࠿ࡽቑຍࡋ⥆ࡅ

࡚࠸ࡿ㸬

ᅗ㸫㸯㸲a)㸪b)㸪c)ࡢ᭷ຠᛂຊ⤒㊰ࢆࡳࡿ࡜㸪Dc = 98%

ࡢ౪ヨయࡣࡏࢇ᩿ึᮇࡢึᮇẁ㝵࡛ࡣṇࡢ㐣๫㛫㝽Ỉ ᅽࡢⓎ⏕࡟ࡼࡗ࡚ᖹᆒ᭷ຠᛂຊࡀῶᑡࡍࡿࡶࡢࡢ㸪ࡍ ࡄ࡟ṇࡢࢲ࢖ࣞ࢖ࢱࣥࢩ࣮࡟ࡼࡗ࡚㈇ࡢ㐣๫㛫㝽Ỉᅽ ࡀⓎ⏕ࡋ࡚ᖹᆒ᭷ຠᛂຊࡀቑຍࡋ㸪೫ᕪᛂຊࡶቑຍࡋ

࡚࠸ࡿࡇ࡜ࡀࢃ࠿ࡿ㸬ࡇࢀࡣᐦワࡵ◁࠶ࡿ࠸ࡣ㐣ᅽᐦ

≧ែࡢ⢓ᛶᅵࡢ඾ᆺⓗ࡞ᣲື࡛࠶ࡿ㸬୍᪉㸪Dc = 90㸪 85%ࡢ౪ヨయ࡛ࡣ㸪ࡏࢇ᩿ึᮇ࠿ࡽṇࡢ㐣๫㛫㝽Ỉᅽ

ࡀୖ᪼ࡍࡿࡇ࡜࡟ࡼࡗ࡚ᖹᆒ᭷ຠᛂຊࡣῶᑡࡋ⥆ࡅ࡚

◚ቯ࡟⮳ࡿ㸬ࡇࢀࡣࡺࡿワࡵ◁࠶ࡿ࠸ࡣṇつᅽᐦ≧ែ

࡟࠶ࡿ⢓ᛶᅵࡢ඾ᆺⓗ࡞ᣲື࡛࠶ࡿ㸬ࡲࡓ㸪◚ቯ᫬ࡢ ᛂຊẚM( = q / p' )ࡣDcࡢቑຍ࡜࡜ࡶ࡟኱ࡁࡃ࡞ࡿ㸬

ࡉࡽ࡟ὀ┠ࡍ࡭ࡁⅬࡣDc = 98%ࡢ౪ヨయ࡜Dc = 90㸪 85%ࡢ౪ヨయ࡟࠾ࡅࡿࣆ࣮ࢡ᫬ࡶࡋࡃࡣࡏࢇ᩿⤊஢᫬

ࡢqmaxࡢ㐪࠸࡛࠶ࡿ㸬㠀᤼Ỉ༢ㄪ㍕Ⲵヨ㦂࡛ࡣᚓࡽࢀ

ࡓqmaxࢆ1/2ಸࡍࡿࡇ࡜࡛㠀᤼Ỉࡏࢇ᩿ᙉᗘsuࢆᚓࡿ

ࡇ࡜ࡀ࡛ࡁࡿ㸬p' = 150kPaࡢሙྜ࡛ suࢆẚ㍑ࡍࡿ࡜

Dc = 98%࡛ࡣsu = 262kPa࡛࠶ࡾ㸪Dc = 90㸪85%࡛ࡣࡑ

ࢀࡒࢀsu = 64kPa㸪39kPa࡜࡞ࡿ㸬suࡣDcࢆኚ໬ࡉࡏ

ࡿࡔࡅ࡛᭱኱࡛7ಸ⛬ᗘࡶ኱ࡁࡃ࡞ࡿ㸬

ᅗ㸫㸯㸳ࡣEmax࠾ࡼࡧsuࢆᅽᐦ⤊஢᫬ࡢ᭷ຠᣊ᮰ᅽ p'0࡛㝖ࡋࡓᙉᗘቑຍ⋡su / p'0࡜Dcࡢ㛵ಀ࡛࠶ࡿ㸬Emax

࠾ࡼࡧsu/p'0ࡣDc࡜࡜ࡶ࡟ቑຍࡍࡿࡇ࡜ࡀࢃ࠿ࡿ㸬Emax

ࡣ᭷ຠᣊ᮰ᅽ࡟ࡼࡿᙳ㡪ࡀࡣࡗࡁࡾ࡜⌧ࢀ࡚࠸ࡿ㸬ࡋ

࠿ࡋ㸪୍⯡࡟su / p'0ࡣp' ࡟ᑐࡋ୍࡚ᐃ್࡛࠶ࡿࡓࡵᮏ

◊✲࡛⏝࠸ࡓヨᩱ࡟࠾ࡅࡿsu / p'0ࡣp' ࡟࠶ࡲࡾᙳ㡪ࡏ ࡎ࡟su / p'0࡜Dc࡟ࡣ୍⩏ⓗ࡞㛵ಀࡀ࠶ࡿ㸬ࡇࢀࡣDc

ࢆ⏝࠸ࡿࡇ࡜࡛su / p'0ࢆ࠾࠾ࡼࡑ᥎ᐃ࡛ࡁࡿࡇ࡜ࢆ♧

၀ࡋ࡚࠸ࡿ㸬ࡲࡓ㸪EmaxࡣDc࡟ᑐࡋ࡚⥺ᙧⓗ࡟ቑຍࡍ

ࡿഴྥ࡟࠶ࡿࡀ㸪su/p'0ࡣ Dc࡟ᑐࡋ࡚ᣦᩘⓗ࡟ቑຍࡍ

ࡿഴྥ࡟࠶ࡿ㸬௒ᚋ㸪≀ᛶࡀ␗࡞ࡿᆅ┙ᮦᩱ࡟ࡘ࠸࡚

ࡶྠᵝ࡞㛵ಀᛶࡀ࠶ࡿ࠿᳨ウࡍࡿᚲせࡀ࠶ࡿ㸬

㸲.ࡲ࡜ࡵ

ᮏ◊✲࡛ᚓࡽࢀࡓ▱ぢࢆ௨ୗࡢࡲ࡜ࡵࡿ㸪

1) ⥾ᅛࡵᗘࡀ኱ࡁࡃ࡞ࡿ࡜➼᪉ᅽᐦ⤊஢᫬ࡢయ✚ࡦ ࡎࡳࡣⴭࡋࡃᑠࡉࡃ࡞ࡿ㸬ࡇࡢࡇ࡜ࡣⰋࡃ⥾ᅛࡵ

ࡿࡇ࡜ࡀ┒ᅵࡢỿୗᢚไ࡟ຠᯝⓗ࡛࠶ࡿࡇ࡜♧ࡋ

࡚࠸ࡿ㸬

2) 㛫㝽ẚ ~ ᅽᐦᛂຊ㛵ಀ࡜㛫㝽ẚ ~ ࣖࣥࢢ⋡Emax

㛵ಀ࡟ࡣᙉ࠸┦㛵ࡀ࠶ࡗࡓ㸬ࡋ࠿ࡋ㸪⥾ᅛࡵᗘࡢ 㐪࠸࡟ࡼࡗ࡚ഴྥࡀ␗࡞ࡗࡓ㸬

3) ㍈ࡦࡎࡳH_a = 0.001%࡛ࡢᚤᑠࡦࡎࡳ㡿ᇦ࠿ࡽᚓࡽ

ࢀࡿEmaxࡣ⥾ᅛࡵᗘ࠾ࡼࡧ᭷ຠᣊ᮰ᅽࡢቑຍ࡜࡜

ࡶ࡟኱ࡁࡃ࡞ࡿࡀ㸪⥾ᅛࡵᗘࡢ㐪࠸࡟ࡼࡿEmaxࡢ

᭷ຠᣊ᮰ᅽࡢ౫Ꮡᛶࡣᑠࡉ࠸㸬ࡲࡓ㸪⢏ᗘศᕸࡀ ᗈ࠸⥾ᅛࡵᅵ࡟ᑐࡋ࡚ࡶ㍕Ⲵ࣮ࣔࢻ࡟ᙳ㡪ࡉࢀ࡞

࠸┿ࡢࣖࣥࢢ⋡㸦ᙎᛶಀᩘ㸧ࡀ ᐃࡉࢀࡓ㸬 4) Esecࡣᙉ࠸ࡦࡎࡳ౫Ꮡᛶࢆ᭷ࡋ࡚࠸ࡿࡀ㸪Emax࡛ṇ

つ໬ࡍࡿࡇ࡜࡛⥾ᅛࡵᗘ࠾ࡼࡧ᭷ຠᣊ᮰ᅽ࡟ࡼࡽ

࡞࠸Esec / Emax ~ H_a㛵ಀࢆ♧ࡋࡓ㸬

5) ⥾ᅛࡵᗘࡀ኱ࡁࡃ࡞ࡿ࡜㠀᤼Ỉࡏࢇ᩿ᙉᗘ࠾ࡼࡧ su/p'0ࡀⴭࡋࡃ኱ࡁࡃ࡞ࡿ㸬ࡇࡢࡇ࡜ࡣ᪋ᕤ᫬ࡢ⥾

ᅛࡵᗘࡢୗ㝈್ࢆ㧗ࡵ࡟タᐃࡋ࡚㸪ࡑࡢ⥾ᅛࡵᗘ

࡟ᛂࡌࡓᙉᗘᐃᩘࢆ⏝࠸ࡿࡇ࡜࡛ࡼࡾ⤒῭ⓗ࡞タ ィࡀྍ⬟࡛࠶ࡿࡇ࡜ࢆ♧၀ࡋ࡚࠸ࡿ㸬

6) ᮏ◊✲࡛౑⏝ࡋࡓヨᩱ࡛ࡣ su/p'0࡜⥾ᅛࡵᗘ࡟ࡣ

᭷ຠᣊ᮰ᅽࡢᙳ㡪ࢆཷࡅࡎ࡟୍⩏ⓗ࡞㛵ಀ࡟࠶ࡗ ࡓ㸬

ᅗ㸫㸯㸳 E_max࠾ࡼࡧs_u / p'₀ ~ D_c㛵ಀ 0

100 200 300 400 500 600

80 85 90 95 100 105

0 1 2 3 4 5

ࣖࣥࢢ⋡, Emax (MPa)

⥾ᅛࡵᗘ, D_{c (%)} ᾷᕝ

p' = 50kPa

ᙉᗘቑຍ⋡, su / p'0

p' = 100kPa p' = 150kPa

ㅰ㎡㸸ᮏ◊✲ࡢ୍㒊ࡣᅜᅵ஺㏻┬ࡢᘓタᢏ⾡◊✲㛤Ⓨ

ຓᡂไᗘ㸦◊✲㛤Ⓨㄢ㢟ྡ㸸㧗ရ㉁┒ᅵࢆಖドࡍࡿ᪋

ᕤ⟶⌮ᢏ⾡࡟㛵ࡍࡿ◊✲㸪◊✲௦⾲⪅ྡ㸸ᮾி⌮⛉኱

Ꮫᩍᤵ 㱟ᒸᩥኵ㸧ࡢ⿵ຓ࡟ࡼࡗ࡚⾜ࢃࢀࡓࡶࡢ࡛࠶ࡿ㸬

ࡲࡓ㸪ヨ㦂⤖ᯝ࡟ࡘ࠸࡚⚄ᡞ኱Ꮫ኱Ꮫ㝔 ຍ⸨ṇྖ෸ᩍ

ᤵ࠿ࡽ㈗㔜࡞ࡈពぢࢆ㡬࠸ࡓ㸬ᮎ➹࡞ࡀࡽ㸪グࡋ࡚῝

⏒࡞ࡿㅰពࢆ⾲ࡍ㸬

ཧ⪃ᩥ⊩

1) 㸦㈈㸧ᅜᅵᢏ⾡◊✲ࢭࣥࢱ࣮㸸Ἑᕝᅵᕤ࣐ࢽࣗ࢔

ࣝ㸪2009㸬

2) ᖹᕝ኱㈗㸪ᕝཎᅬ⨾ᖾ㸪㱟ᒸᩥኵ㸸◁♟┒ᅵᮦࡢ ኚᙧᙉᗘ≉ᛶ࡟୚࠼ࡿ⥾ᅛࡵ᮲௳ࡢᙳ㡪㸪ᅵᮌᏛ

఍ㄽᩥ㞟C㸪Vol. 64㸪No. 2㸪pp.253-266㸪2008㸬 3) ౛࠼ࡤ㸪ᑠ㧗⊛ྖ㸪ᯈᶫ୍㞝㸪ᮤᆂኴ㸪୰ᓥᗣ௓㸪

ᓊ㈼࿃㸪ኳ㔝␃ᐇ㸪ᆤ⏣㑥἞㸪ຍ⸨㞞ஓ㸸୕㍈ヨ 㦂࡟ࡼࡿἙᕝሐ㜵♟ࡲࡌࡾ◁ࡢᙉᗘホ౯㸪➨43ᅇ ᆅ┙ᕤᏛ◊✲Ⓨ⾲఍CD-ROM㸪pp.373-374㸪2008㸬 4) ᯘᏹ୍㸪㕥ᮌᬕᙪ㸸஧ḟඖ⾲㠃Ἴ᥈ᰝࡢᆅ┙ㄪᰝ

࡬ࡢ㐺⏝㸪➨38ᅇᆅ┙ᕤᏛ◊✲Ⓨ⾲఍㸪pp.33-34㸪 2003㸬

5) ୰ᒣᩥஓ㸪ᯘᏹ୍㸪▼⏣❶ྖ㸸㧗┒ᅵࡢSἼ㏿ᗘ ᵓ㐀ᢕᥱ࡬ࡢ⾲㠃Ἴ᥈ᰝࡢ㐺⏝㸪➨36ᅇᆅ┙ᕤᏛ

◊✲Ⓨ⾲఍㸪pp.143-144㸪2003.

6) ⃅㇂ၨ㸪Ώ㒊せ୍㸪⏣୰ᨻ඾㸪ᒣୗ⪽㸪ᯘᏹ୍㸪 ⲮྖὈᩗ㸸㑇㊧ࡢಖᏲ࣭ಖ඲ࡢࡓࡵࡢᆅ┙ㄪᰝἲ㸸 Pisaࡢᩳሪࢆ౛࡜ࡋ࡚(<ᑠ≉㞟>⥔ᣢ࣭⟶⌮࠾ࡼࡧ

᭦᪂ࡢࡓࡵࡢィ ࣭ゎᯒᢏ⾡ : ᆅ୰ᵓ㐀≀࣭㑇㊧

ࢆᑐ㇟࡜ࡋ࡚)㸪ᅵ࡜ᇶ♏㸪Vol.52㸪No.6㸪pp.35-37㸪 2004.

7) ᕝᑼᓧ୕㸪⃅㇂ၨ㸪ᕝཱྀ㈗அ㸪㫽ᒃᐉஅ㸸⌧ሙㄪ ᰝ࠾ࡼࡧᐊෆヨ㦂࡟ࡼࡿ◁ୣᩳ㠃ࡢᏳᐃᛶࡢホ౯㸪 ᆅ┙ᕤᏛࢪ࣮ࣕࢼࣝ㸪Vol.4㸪No.3㸪pp.233-244㸪 2009㸬

8) 㸦㈈㸧ᅜᅵᢏ⾡◊✲ࢭࣥࢱ࣮㸸Ἑᕝሐ㜵ࡢᵓ㐀᳨

ウࡢᡭᘬࡁ㸪2002.

9) ἙཎⲮ୍㑻㸪ᐊ㐩ᮁ㸪῝ᕝⰋ୍㸪ᕷཎ୍ஓ㸸ᅽ⦰

ᅽຊ࡟ࡼࡿ◁㉁ᅵࡢ୍ḟඖ㟼ⓗ࣭ືⓗ⥾ᅛࡵᗘࡢ ẚ㍑㸪ᅵᮌᏛ఍ᖺḟᏛ⾡ㅮ₇఍ㅮ₇ᴫせ㞟➨3㒊 (B)㸪Vol.50㸪pp.860-861㸪1995㸬

10) ቃⰾᶞ㸪ᕝᑼᓧ୕㸪⃅㇂ၨ㸪ຍ⸨ṇྖ㸪ᕝཱྀ㈗அ㸸

࣋ࣥࢲ࣮࢚࣓ࣞࣥࢺ࠾ࡼࡧ⧞㏉ࡋ୕㍈ヨ㦂ࡼࡿ୙

㣬࿴ᆅ┙ᮦᩱࡢኚᙧ≉ᛶࡢ ᐃ㸦ࡑࡢ 1㸸ヨ㦂⿦

⨨ࡢᴫせ㸧㸪➨44ᅇᆅ┙ᕤᏛ◊✲Ⓨ⾲఍CD-ROM㸪 pp.665-666㸪2009㸬

11) 㱟ᒸᩥኵ㸪ᮌᖭ⾜ᏹ㸸࣋ࢹ࢕ࣥࢢ࢚࣮ࣛ㸪ᅵ࡜ᇶ

♏㸪42-9 (440)㸪pp.231-233㸪1994㸬

12) ౛࠼ࡤ㸪Hoque, E. and Tatsuoka, F . : Anisotropy in elastic deformation of granular materials, Soils and Foundations, Vol.38, No.1, pp.163-179, 1998.

13) Atkinson㸪J. H. : Rankin Lecture : Non-linear soil stiffness in routine design, Géotechnique, Vol.50, No.5, pp.487-508, 2000.

14) ౛࠼ࡤ㸪⃅㇂ၨ㸪ᑠ㧗⊛ྖ㸪㱟ᒸᩥኵ㸸ᆅ┙ᮦᩱ

ࡢᑠࡦࡎࡳ࡛ࡢ㠀⥺ᙧᛶ࡜ᆅ┙ኚᙧၥ㢟࡬ࡢ㐺⏝

2㸬ᆅ┙ᮦᩱࡢኚᙧ≉ᛶ㸦ࡑࡢ1㸧㸪ᅵ࡜ᇶ♏㸪Vol.45㸪 No.4㸪pp59-64㸪1997㸬

15) ᕝཱྀ㈗அ㸪୕⏣ᆅ฼அ㸪⃅㇂ၨ㸸⦎ࡾ㏉ࡋ㣬࿴⢓

ᅵࡢᑠࡦࡎࡳᇦ࡟࠾ࡅࡿኚᙧಀᩘࡢᐃᘧ໬㸪ᅵᮌ Ꮫ఍ㄽᩥ㞟㸪No.638/III-49㸪1999㸬

16) ౛࠼ࡤ㸪ᮤᚨᘓ㸪⃅㇂ၨ㸪୕⏣ᆅ฼அ㸸኱㜰‴ᾏ ᗏ⢓ᅵࡢຊᏛ≉ᛶ࡜ᖺ௦ຠᯝ㸪ᅵᮌᏛ఍ㄽᩥ㞟㸪 No.736/Ϫ-63㸪pp.273-285㸪2003㸬

17) Shibuya, S., Mitachi, T., Fukuda, F. and Degoshi, T. : Strain rate effects on shear modulus and damping of normally consolidated clay, Geotechnical Testing Journal, Vol.18, No.3, pp.365-375, 1995.

18) Tatsuoka, F. and Shibuya, S. : Deformation Characteristics of soils and rocks from field and laboratory tests, Proceedings of the Ninth Asian Regional Conference on Soil Mechanics and Foundations Engineering, Vol.2, pp.101-177, 1991.

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