CN103698217B - Drucker-Prager ground softening intensity parametric measurement method - Google Patents

Drucker-Prager ground softening intensity parametric measurement method Download PDF

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CN103698217B
CN103698217B CN201410004402.9A CN201410004402A CN103698217B CN 103698217 B CN103698217 B CN 103698217B CN 201410004402 A CN201410004402 A CN 201410004402A CN 103698217 B CN103698217 B CN 103698217B
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axial
group
stress
test
drucker
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CN103698217A (en
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姚再兴
李绍臣
李宏艳
艾畅
王俊
张建平
丁鑫品
刘学
李伟
周杰
马明
曹芳智
张学超
周游
刘玉凤
赵汝辉
王维
刘博文
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China Coal Research Institute CCRI
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China Coal Research Institute CCRI
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Abstract

Drucker-Prager ground softening intensity parametric measurement method, comprises the steps: (1) processing test specimen; (2) axial compression stress-axial compressive strain curve is obtained; (3) fair curve; (4) mean value of elastic modulus E is tried to achieve (5) the deviator of stress second invariant J of each group is obtained 21, J 22until J 2Nwith stress first invariant I 11, I 12until I 1N; (6) the Drucker-Prager criterion of strength just softening intensity parameter alpha of described pre-mensuration rock-soil material is obtained 0and k 0; (7) axial Plastic Compression strain increment corresponding to each group test data sheet point is tried to achieve in calculating; (8) interpolation obtains each branch in each group of test corresponding axial compression stress σ i; (9) each branch is obtained corresponding intensive parameter α iand k i; (10) axial Plastic Compression strain increment κ and the funtcional relationship between softening intensity parameter alpha and k is obtained.Assay method provided by the invention adapts to higher Structural Design requirement, and security is high and cost is low.

Description

Drucker-Prager ground softening intensity parametric measurement method
Technical field
The present invention relates to a kind of parametric measurement method, particularly a kind of Drucker-Prager ground softening intensity parametric measurement method.
Background technology
The plastic soften of ground is the essential attribute that ground destroys, it shows as ground the reducing of yield surface in destructive process, Drucker-Prager criterion of strength can react this destruction characteristic of rock-soil material comparatively really, but Drucker-Prager ground softening intensity parametric measurement is difficult, at present, in engineering reality, engineering technical personnel can only consider ground as perfectl plastic material, namely use Mohr-Coulomb criterion of strength as the failure criteria of rock-soil material, this can not meet higher engineering analysis precision, due to higher precision cannot be met, therefore, use in engineering reality and only easily cause major safety risks through the structure of ideal plasticity analyzing and processing, in practice, for ensureing safe enough, often need the intensity for increasing structure and use more material, and then increase construction costs cost.
In sum, a kind of effective Drucker-Prager ground softening intensity parametric measurement method is not also had at present.
Summary of the invention
Being difficult to determine to cause geotechnical structure potential safety hazard or the too high technical matters of cost to solve ground breakdown strength in Geotechnical Engineering, the invention provides reliably feasible Drucker-Prager ground softening intensity parametric measurement method.
The technical solution used in the present invention is as follows:
Drucker-Prager ground softening intensity parametric measurement method, comprises the following steps:
(1) rock-soil material measuring Drucker-Prager ground softening intensity parameter is in advance processed into cylindric test specimen, Specimen Shape, size are identical, and be divided into N group, N is not less than 2, described test specimen of often organizing all adopts the test of normal triaxial confined pressure to test, and confined pressure scope is 0.1 ~ 20MPa;
(2) test test specimen grouping, test confined pressure is different, is obtained the axial compression stress-axial compressive strain curve of each group by test;
(3) point on each hysteretic loop on the described axial compression stress-axial compressive strain curve often organized is screened, only retain the point on coenvelope line, weed out all the other points, obtain the axial compression stress-axial compressive strain curve revised;
(4) get the straight-line segment of the axial compression stress-axial compressive strain curve ascent stage of described correction, try to achieve the elastic modulus of described test wherein, Δ σ and Δ ε is the strain increment and stress increment that straight-line segment is corresponding, and tries to achieve the mean value of the elastic modulus E that each group of experiment calculation obtains
(5) corresponding according to the distal point of the trial curve straight-line segment of each group stress value calculates the deviator of stress second invariant J of each group 21, J 22until J 2Nwith stress first invariant I 11, I 12until I 1N;
(6) deviator of stress second invariant step (5) obtained and stress first invariant substitute into Drucker-Prager pare-debris flow body in, utilize least square method to obtain the Drucker-Prager criterion of strength just softening intensity parameter alpha of the rock-soil material of described pre-mensuration Drucker-Prager ground softening intensity parameter 0and k 0;
(7) basis calculate and try to achieve axial Plastic Compression strain increment corresponding to each group test data sheet point, κ jfor the axial Plastic Compression strain increment of a jth measuring point, σ jand ε jfor axial compression stress and the axial compressive strain of a jth measuring point, when j is 1, described measuring point is yield point, described axial Plastic Compression strain increment κ j-1be 0;
(8) relatively more each group tests one minimum in the described axial Plastic Compression strain increment that described in last, measuring point is corresponding, is denoted as κ m, each group of described axial Plastic Compression strain increment of test from 0 to κ mbe divided into impartial M part, each branch in each group test namely axial Plastic Compression strain increment is time, corresponding axial compression stress σ ithe axial compression stress interpolation corresponding by adjacent two described measuring point obtains, i=0,1, Λ M;
(9) each branch is tested according to obtained each group corresponding axial compression stress σ icalculate the deviator of stress second invariant J that each group of test is corresponding 2iwith stress first invariant I 1i, then basis each branch is calculated by least square method corresponding intensive parameter α iand k i;
(10) to each group with carry out Function Fitting, thus obtain axial Plastic Compression strain increment κ and the funtcional relationship between softening intensity parameter alpha and k.
At above-mentioned Drucker-Prager ground softening intensity parametric measurement method, N is the confined pressure of 2, first group is 0.1MPa, and the confined pressure of second group is 2MPa.
At above-mentioned Drucker-Prager ground softening intensity parametric measurement method, the height of described cylindric test specimen is 10cm, and diameter is 5cm.
At above-mentioned Drucker-Prager ground softening intensity parametric measurement method, it is characterized in that: each branch described corresponding axial compression stress σ irealized by linear interpolation, namely pass through
calculate, wherein, σ jand σ j-1it is each branch in described each group of test the axial compression stress that former and later two measuring point are corresponding, κ j-1axial Plastic Compression strain increment corresponding to front measuring point.
Technique scheme of the present invention has the following advantages compared to existing technology:
1. Drucker-Prager ground softening intensity parametric measurement method provided by the invention, owing to having taken into full account the nonlinear relationship between intensive parameter α and k and axial Plastic Compression strain increment, therefore, the present invention can reflect the actual value of intensive parameter more accurately, thus more science instructs engineering practice reliably, under ensureing the prerequisite of engineering structure safety, save construction costs greatly.
Embodiment
For making the object, technical solutions and advantages of the present invention clearly, below embodiment of the present invention is described further in detail.
Described Drucker-Prager ground softening intensity parametric measurement method, comprises the following steps:
(1) rock-soil material measuring Drucker-Prager ground softening intensity parameter is in advance processed into cylindric test specimen, described Specimen Shape, size are identical, be divided into two groups, described test specimen of often organizing all adopts the test of normal triaxial confined pressure to test, and often group test confined pressure scope is 0.1 ~ 20MPa;
(2) test test specimen grouping, two groups of test confined pressures are different, and first group of confined pressure is 0.1MPa, and second group of confined pressure is 2MPa, is obtained the axial compression stress-axial compressive strain curve of each group by test;
(3) point on each hysteretic loop on described every suite line is screened, only retain the point on coenvelope line, weed out all the other points, obtain the axial compression stress-axial compressive strain curve revised;
(4) get the straight-line segment of the axial compression stress-axial compressive strain curve ascent stage of described correction, try to achieve the elastic modulus of described two groups of tests wherein, Δ σ and Δ ε is the strain increment and stress increment that straight-line segment is corresponding, and tries to achieve the mean value of the elastic modulus E that two groups of experiment calculations obtain ;
(5) corresponding according to the distal point of the trial curve straight-line segment of each group stress value calculates the deviator of stress second invariant J of each group 21, J 22with stress first invariant I 11, I 12;
(6) deviator of stress second invariant step (5) obtained and stress first invariant substitute into Drucker-Prager pare-debris flow body in, utilize least square method to obtain the Drucker-Prager criterion of strength just softening intensity parameter alpha of the rock-soil material of described pre-mensuration Drucker-Prager ground softening intensity parameter 0and k 0;
(7) basis calculate and try to achieve axial Plastic Compression strain increment corresponding to each group test data sheet point, κ jfor the axial Plastic Compression strain increment of a jth measuring point, σ jand ε jfor axial compression stress and the axial compressive strain of a jth measuring point, when j is 1, described measuring point is yield point, described axial Plastic Compression strain increment κ j-1be 0;
(8) relatively more each group tests one minimum in the described axial Plastic Compression strain increment that described in last, measuring point is corresponding, is denoted as κ m, two groups of described axial Plastic Compression strain increments of test from 0 to κ mbe divided into impartial M part, each branch in each group test namely axial Plastic Compression strain increment is time, corresponding axial compression stress σ ithe axial compression stress interpolation corresponding by adjacent two described measuring point obtains, i=0,1, Λ M;
(9) each branch is tested according to obtained each group corresponding axial compression stress σ icalculate the deviator of stress second invariant J that each group of test is corresponding 2iwith stress first invariant I 1i, then basis each branch is calculated by least square method corresponding intensive parameter α iand k i;
(10) to each group with carry out Function Fitting, thus obtain axial Plastic Compression strain increment κ and the funtcional relationship between softening intensity parameter alpha and k.
In the present embodiment, the height of described cylindric test specimen is 10cm, and diameter is 5cm.
In the present embodiment, each branch described corresponding axial compression stress σ irealized by linear interpolation, namely pass through
calculate, wherein, σ jand σ j-1it is each branch in described each group of test the axial compression stress that former and later two measuring point are corresponding, κ j-1axial Plastic Compression strain increment corresponding to front measuring point.
Obviously, above-described embodiment is only for clearly example being described, and the restriction not to embodiment.For those of ordinary skill in the field, can also make other changes in different forms on the basis of the above description.Here exhaustive without the need to also giving all embodiments.And thus the apparent change of extending out or variation be still among protection scope of the present invention.

Claims (4)

1.Drucker-Prager ground softening intensity parametric measurement method, is characterized in that: comprise the following steps:
(1) rock-soil material measuring Drucker-Prager ground softening intensity parameter is in advance processed into cylindric test specimen, described Specimen Shape, size are identical, and be divided into N group, N is not less than 2, often organizing test specimen all adopts the test of normal triaxial confined pressure to test, and confined pressure scope is 0.1 ~ 20MPa;
(2) test test specimen grouping, test confined pressure is different, is obtained the axial compression stress-axial compressive strain curve of each group by test;
(3) point on each hysteretic loop on the axial compression stress often organized-axial compressive strain curve is screened, only retain the point on coenvelope line, weed out all the other points, obtain the axial compression stress-axial compressive strain curve revised;
(4) get the straight-line segment of the axial compression stress-axial compressive strain curve ascent stage of described correction, try to achieve the elastic modulus of each group of test wherein, Δ σ and Δ ε is the strain increment and stress increment that straight-line segment is corresponding, and tries to achieve the mean value of the elastic modulus E that each group of experiment calculation obtains
(5) corresponding according to the distal point of the trial curve straight-line segment of each group stress value calculates the deviator of stress second invariant J of each group 21, J 22until J 2Nwith stress first invariant and I 11, I 12until I 1N;
(6) deviator of stress second invariant step (5) obtained and stress first invariant substitute into Drucker-Prager pare-debris flow body in, utilize least square method to obtain the Drucker-Prager criterion of strength just softening intensity parameter alpha of the rock-soil material of described pre-mensuration Drucker-Prager ground softening intensity parameter 0and k 0;
(7) basis calculate and try to achieve axial Plastic Compression strain increment corresponding to each group test data sheet point, κ jfor the axial Plastic Compression strain increment of a jth measuring point, σ jand ε jfor axial compression stress and the axial compressive strain of a jth measuring point, when j is 1, described measuring point is yield point, described axial Plastic Compression strain increment κ j-1be 0;
(8) relatively more each group tests one minimum in the described axial Plastic Compression strain increment that described in last, measuring point is corresponding, is denoted as κ m, each group of described axial Plastic Compression strain increment of test from 0 to κ mbe divided into impartial M part, each branch in each group test namely axial Plastic Compression strain increment is time, corresponding axial compression stress σ ithe axial compression stress interpolation corresponding by adjacent two described measuring point obtains, i=0, and 1 ... M;
(9) each branch is tested according to obtained each group corresponding axial compression stress σ icalculate the deviator of stress second invariant J that each group of test is corresponding 2iwith stress first invariant I 1i, then basis each branch is calculated by least square method corresponding intensive parameter α iand k i;
(10) to each group with carry out Function Fitting, thus obtain axial Plastic Compression strain increment κ and the funtcional relationship between softening intensity parameter alpha and k.
2. Drucker-Prager ground softening intensity parametric measurement method according to claim 1, is characterized in that: N is the confined pressure of 2, first group is 0.1MPa, and the confined pressure of second group is 2MPa.
3. Drucker-Prager ground softening intensity parametric measurement method according to claim 2, is characterized in that: the height of described cylindric test specimen is 10cm, and diameter is 5cm.
4. Drucker-Prager ground softening intensity parametric measurement method according to claim 3, is characterized in that: each branch described corresponding axial compression stress σ irealized by linear interpolation, namely pass through
calculate, wherein, σ jand σ j-1it is each branch in described each group of test the axial compression stress that former and later two measuring point are corresponding, κ j-1axial Plastic Compression strain increment corresponding to front measuring point.
CN201410004402.9A 2014-01-07 2014-01-07 Drucker-Prager ground softening intensity parametric measurement method Expired - Fee Related CN103698217B (en)

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CN102306225A (en) * 2011-09-27 2012-01-04 上海大学 Method for simulating construction course and tunnel deformation influence value of multiline overlapping tunnel

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CN102306225A (en) * 2011-09-27 2012-01-04 上海大学 Method for simulating construction course and tunnel deformation influence value of multiline overlapping tunnel

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