t r t s r t t ré r rr r t r
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- Δαυίδ Δασκαλόπουλος
- 6 χρόνια πριν
- Προβολές:
Transcript
1 t r t s 1 r t t ré r rr r r t r
2 s t èr s Prés t t Prés t t r t r Prés t t tr t é t s t t t s ér t s rs s t tér r s r s t é r q s s é t r 1 té s r s s rt t ét r t s t ss s s é r rt t éq é rt é r ét r t s s ét r t é ér t s s éq t s r è é q s 1 t s s é r rt t é r r t r t é t r t r t rts s s r r s s s é r t ré t tr t r r s s s rt r t r t t r s t r s t tér r2 q tér P tér s ér s r t r
3 Pr èr rt Prés t t Prés t t r t r r t r ù t é s tr 1 st té r r 1t t r t tr tr t r t q r ç s t t st t t str s s à s 1 tt té 1t st rt r r s r t q t èr à t q q s tés 1t s r r t s q té s t r s étr r r t r r été ss t s s r r t r t r t ss é été t é r r P t t Pr 3 r t r t rs t r ss t t s r ts s rt èr t tr r é rt t s r r s rs tr 1 ts s r s r ts ï s q st t t s rt s r r s t s r st é r é r t t 2st s s r st t t 1 t t rt P r s s ts ét s s tér ss s à 1 tr 1 t s r r t P s t r s r t s t s s t r s ts ré t t t t r t t s str t r 2 rt é s t r t r t t rsq s r s t r s s t s sté s é è st s ré r t r séq ê t q ré t t t t à t t r t s s s r r s Prés t t tr t é tr é s r 1 1 s t st s r s é é ts t s t s r ré t s t q é tr t s s 1 rt s s t s t s s t r ê s ét t q s rts r t r
4 1 è rt t s t t t s ér t s rs s t t st s r r s s t s rts t r s r t r é r r r r r t P t t tt t é èr s é ér t s ê t s t rs s rt r t s s t r t èr t s s rs s s tâ s r t r t t P r s s r s t r ss t s à s tér ét à é à été é tr t q r t t r s E t t P ss ν és s é s ét r r sé t tér 1 1 s r sq s r t t r st q P 1 r té s r t s r 1 r s tt à t r s s s t t r t r r t s r r é s é ét s r rs r 1 t q rt rt s t s t s t ss é t r è s t r st st r s s s st t é r r r t q t r é r t t P s t t s r s s s à t à q s èr à s r r s P s 2 s st t t t r é ér r r s t é ér r s s r t s s r ètr s r r s s s t s s rt tr t r r t t tr t r P t r r t é r t s s tr r r s s s rt s r tr t r t s r t t s r st r à r t r r s é t t t t t rt 1 rt s r t 2 1t r ss s s r s r r ts t r t r ts s r r t P t éq t tr r té t s ts 2 q s s s rt 2 rr s rt t r t s rt st 2 t r t s 1 s r t r
5 s r r t s ét ré r s à r r s s é t s s s t t s s rt t t s s s t s rés t tr s r é r t tr t r t s r t t r t r
6 r s t é r q s s é t r 1 té s r s s rt t 1 st t t s t r r t P r tt t t r s rts s r q s rts s t s rét sés r ré rt t t2 r étré r êtr t r t t r t r r s s s é t tr s 1 r è s q rr s t t rt 1 s rt 1 t2 s rt 1 s rt t t st tr r s s t r t é r é r q t êtr r t r r rt s t t rt èr t à q t r s t r r tr s ér r r r t é r t s ét r t s t ss s s é r s s r tr s è 1 st 2 d s é r st s s à ré rt t rt é q t 2 t ès q s tr s s s s t r s r ét r r s s t ss s s s s s s s ét t s ts 1 s r è s i z j = z. s ω 0 = 0 t ω 0 = 0. ù ω 1 = θ 1 z ω 2 = ( θ 1 + θ 2 ) z ω 3 = ( θ 1 + θ 2 + θ 3 ) z ω 4 = ( θ 1 + θ 2 + θ 3 + θ 4 ) z r é s t r è r t r
7 r é s t s rts s r s é r g(y) = a y y 0 l+y 0 t h(y) = b y 0 y l+y 0 rt t éq é rt é r r r s st s sé é r t st s s à rt t r r s st é r t st s s r s s à t t ré rt t r rts t 2 t ès q s tr s s s s t r s r é s t r è r ét s é étr r t s t t y0 e 3 h 0 (y) M A = y g 0 (y). y0 z dy = e 3 g 0 (y) y h 0 (y)dy l 0 0 l M A = ae 3 2 (y 0 +l) b ( 3 y0 y 0 l 2 y ) 0 3 +l 3 l+y ( ) a e3 M A = (y 0 +l) +b (2l y 0 ) 2 r t r
8 r ét s s rts s r s é r g(y) = h(y) = y0 l y0 l g 0 (y)dy = h 0 (y)dy = y0 l y0 l a y y 0 l+y 0 dy = a 2 (y 0 +l) b y 0 y l+y 0 dy = b 2 (y 0 +l) t 2 t ès é st té t s èr t é r t r s r r 1 2 t ès s é t q 1 r tr t 1 t σ xx = M A I Gz y s q g(y) = a 2 (y 0 +l) t h(y) = b 2 (y 0 +l) ét r t s s s rts ré t é èr t s s s s rt t s s ts ts t s st sé t t s tt s r r st r st t q C O4 ( F f(y) ) = 2d y0 l (y y 4 ) f(y) y0 z dy = 2d [ ( ) C O4 F f(y) = 2d (h+e) b y h+e ( ) y 2 y +l b 0 2 +l y ( ( ( ) C O4 F f(y) = 2d (h+e) b y 0 y ) l y 0 2 (y 0 +l) b a ( (h+e) ( ( ) 2 y0 b(h+e) C 4 = C O4 F f(y) = 2d 2(y 0 +l) + 5ay 0 ( 3 l (h+e) h(y) y g(y)dy b l+ a ( ) ] y0 l y 2 y 0 +l 2 y3 +a y2 3 2 l 3l 2y 0 6 (y 0 +l) y 0 2 +a y 0 2 6(y 0 +l) + (h+e)b(2y 0l+l 2 ) 2(y 0 +l) ) )) l 2 b 5l3 a 2(y 0 +l) 6(y 0 +l) +a l2 2 ) + 2l3 a 3y 0 l 2 a 6(y 0 +l) r t r
9 C 4 = b d (h+e) (l+y 0 ) a 5 y y 0 l 2 +2 l 3 d 3 (y 0 +l) M Oi ( O 4 ) = C 4 z + 0 C 1 = C 2 = C 3 = C 4 ét r t é ér t s é é ér t à é r t rt é r s r t é ér t s q st à r r s é t ét r r t s r ètr s trô s s θ i t x i s t t q q s r rr s s à (x 4,y 4,z 4 ) s t i t q q s t q i = θ j V 1 (P) = θ 1 x 1 y 1 Γ 1 (P) = θ 1 x 1 y 1 θ 2 1 x1 x 1 V 2 (P) = θ 1 l 1 y 1 + q 2 x 2 y 2 Γ 2 (P) = θ 1 l 1 y 1 θ 2 1 l1 x 1 + q 2 x 2 y 2 q 22 x 2 x 2 t t t st r P r étr s t r è i 2, V 2 (O 3 ) = q i l i y i Γ 2 (O 3 ) = q i l i y i q i2 l i x i i 3, V 3 (O 4 ) = q i l i y i Γ 3 (O 4 ) = q i l i y i q i2 l i x i V 4 (P) = V 3 (O 4 )+ q x 4 4 z y 4 z 4 V 4 (P) = V 3 (O 4 )+ q 4 ( y 4 x 4 +x 4 y 4 ) Γ 4 (P) = Γ 3 (O 4 )+ q 4 ( y 4 x 4 +x 4 y 4 ) y 4 q 42 y 4 x 4 q 42 x 4 t r t t s r s 1 s ré ér q 1 l 1 cosq 1 + q 2 l 2 cosq 2 + q 3 l 3 cosq 3 q 4 y 4 sinq 4 + q 4 x 4 cosq 4 V 4 (P) = q 1 l 1 sinq 1 + q 2 l 2 sinq 2 + q 3 l 3 sinq 3 + q 4 y 4 cosq 4 + q 4 x 4 sinq 4 0 Γ 4 (P) = ( q 1 l 1 cosq 1 + q 2 l 2 cosq 2 + q 3 l 3 cosq 3 q 4 y 4 sinq 4 + q 4 x 4 cosq 4 q 12 l 1 sinq 1 q 22 l 2 sinq 2 q 32 l 3 sinq 3 q 42 y 4 cosq 4 q 42 x 4 sinq ) 4 x+ ( q1 l 1 sinq 1 + q 2 l 2 sinq 2 + q 3 l 3 sinq 3 + q 4 y 4 cosq 4 + q 4 x 4 sinq 4 + q 12 l 1 cosq 1 + q 22 l 2 cosq 2 + q 32 l 3 cosq 3 q 42 y 4 sinq 4 + q 42 x 4 cosq ) 4 y 1 r t r
10 s éq t s r è é q s 1 t s s é r t tr é r t t tr t s tér é r u és é t s è rs q σ és tr t Γ 4 st é ér t s st à r s é t q t ss s u ré rs u 0 y z = 0 s t t q t ss s σ ré r t s2 étr q t div(σ) = ρ Γ 4 x x σ ±l y = 0 σ y z = 0 z ±d e y y 0, σ y x = g(y) x+h(y) y z t rt t σ = K ε y > y 0, σ e y z x = 0 ε t s r s é r t s r é ε E = 1 2 ( u+ T u ) t ù K st t s r é st té r r t t s ts é st q s é ts tér rt t é r s é t q t ss s u ré rs u 0 y z = 0 s t t q t ss s σ ré r t s2 étr q t div(σ) = ρ Γ 4 σ σ x ±l z e 2 y z y = 0 x = ( σ x y ±d M A I Gz y +g(y) z = 0 ) x+h(y) y t rt t σ = K ε r t r
11 r t r t é t st s éré s é r t s s r U ad = u ré r u 0 y = 0 z div(σ) = ρ Γ 4 v U ad, div(σ).v = ρ Γ 4.v v U ad, div(σ).v dx = ρ Γ 4.vdx v U ad, div(σ.v) dx σ : grad(v)dx = ρ Γ 4.vdx v U ad, σ.v.nds σ : grad(v)dx = ρ Γ 4.vdx ( ) v U ad, g(y).x+h(y).y.vds σ : ε(v)dx = ρ Γ 4.vdx x=e ( ) v U ad, K.ε(u) : ε(v)dx = g(y).x+h(y).y.vds ρ Γ 4.vdx x=e ù r t r t é t { r r u Uad t q v U ad A c (u,v) = L c (v) A c (u,v) = K.ε(u) : ε(v)dx ( ) t L c (v) = g(y).x+h(y).y.vds ρ Γ 4.vdx x=e r t r t rts τ ad τ ré rs t s2 étr q s x div(σ) = 0, σ ±l y = 0, z x σ y z = 0, σ ±d e y z x = 0 r t r
12 σ K.ε = 0 τ τ ad, K 1.σ : τ ε : τ = 0 τ τ ad, K 1.σ : τ dx = ε : τ dx r ε : τ dx = grad(u) : τ dx = div(τ.u)dx div(τ).udx = τ.u.nds = 0 q τ τ ad, K 1.σ : τ dx = 0 ù r t r t rts { r r σ τad t q τ τ ad A s (σ,τ) = L s (τ) A s (σ,τ) = K 1.σ : τ dx t L s (τ) = 0. s s r r s s s é r t r è s r s t s st q s s t très r ét q s s s r t r t é rè é r r t s s r tr r é r t t t t s 2 t ès s s tr s s t s t r P r é t t s s t r t r t s t t s t rs s s t s rs t s rét s t rt s r é éré t q ê s r r q t 1 té s s rts t t t t q s rt r t s s r st t s rs q s s t s s 1 s tr s ré t tr t r r s s s rt r t r t s é r à réé r t r é ér t r tt r s r t s r r s ts t r ss r s r s r é ss t t s t 1 t t s s ss s r t s r q 1 t t 1 2 rt s s ts à r t ré té st r t s r r è s s s t à s tt r rés é ss té é ér r tr t r r étré q t r tr s s s t r ts s t t ss rtés t r rs r r t ss s ss t r 1 s s s rt q s s 1 s t t s t s s rt q s tr 1 t s 2s s tr t r s r é ts s P é t s r t r
13 P t s s s rt t r r r tr t r r t s s rt é ér t t s t t s r s s s s tr t s s t P s t s t t t ss s t t t r 2 t ét q st à ss r t t trô r s s t t s t s s q ts trô r 2 trô s r r tr s s r é s s t s t t s r t r t é r s r é s s ts t t r r t r t s r s ts s r r s t s és é t s t s tr t s é t t ss r r t r r s t 2 trô t s t ss s t t t t ss s r s t ss t t t r s é st r s t t s r rt t t rt rt s à r r s st à ét t q ss s r t t s tr s s s r s s s é 1 t s s q t r s r é r s s q r t s r r r t s ts s rs s tr s r t t t s2stè s s st é à t s r s Ps r t r r s r t t s t t r t r t r s q t r s s s Ps t s rt tr 1 r t r
14 r t ss s s tr t r r t t t Slerp(q i,q f,t) = q i (q i q f ) t = qi [cos(tθ) sin(tθ) v] θ tr q t r t q i t q t r q f t v t r é r s rt r θ = r rés t t t r té s ss rts s s q s t 1 r t t s r s èr t r tr s s t s t r é R 3 r t r
15 r s t r t r
16 r s t
17 tér r2 q Advanced Polymer Alloys Alcryn 4070 BK Melt-Processible Rubber (discontinued) Categories: Polymer; Thermoplastic; Elastomer, TPE; Thermoplastic Elastomer, Melt-Processible Rubber Material Notes: Alcryn is a true thermoplastic elastomer, based on a partially cross-linked, chlorinated olefin interpolymer alloy. It is designed for the manufacture of rubber parts with high productivity on thermoplastic processing equipment series characteristics: moderate flow in general plastics processing; not recommended for injection molding; excellent for complex extrusions; black grades have excellent weather resistance. This material is no longer a commercial product Data provided by the manufacturer. Key Words: Chlorinated Olefin Interpolymer Alloy; Advanced Polymer Alloys; Thermoplastic Elastomer (TPE) Vendors: No vendors are listed for this material. Please click here if you are a supplier and would like information on how to add your listing to this material. Physical Properties Metric English Comments Density 1.25 g/cc lb/in³ ASTM D471 Viscosity cp cp at 300/s at 190 C; ASTM D3835 Mechanical Properties Metric English Comments Hardness, Shore A ASTM D2240 Tensile Strength, Yield 9.00 MPa 1310 psi ASTM D412 Elongation at Break 420 % 420 % ASTM D412 Tensile Modulus GPa ksi ASTM D412 Flexural Modulus GPa ksi In Torsion; ASTM D1043 Graves Tear Strength 39.0 kn/m 223 pli (Die C); ASTM D624 Taber Abrasion, mg/ CS-17 Wheel, 1000g load; ASTM D3389 Cycles Compression Set 20.0 % 20.0 % 22 hr at 24 C; ASTM D C F 22 hr at 100 C; ASTM D395 Thermal Properties Metric English Comments Brittleness Temperature C F ASTM D746 Clash Berg Stiffness C F 69 MPa; ASTM D1043 Temperature Processing Properties Metric English Comments Processing Temperature 166 C 331 F ASTM D3835 Some of the values displayed above may have been converted from their original units and/or rounded in order to display the information in a consistant format. Users requiring more precise data for scientific or engineering calculations can click on the property value to see the original value as well as raw conversions to equivalent units. We advise that you only use the original value or one of its raw conversions in your calculations to minimize rounding error. We also ask that you refer to MatWeb's disclaimer and terms of use regarding this information. Click here to view all the property values for this datasheet as they were originally entered into MatWeb.
18 tér P Product Data Sheet & General Processing Conditions RTP 2740 S-40A Saturated Styrenic Block Copolymer (TES/SEBS) General Purpose PROPERTIES & AVERAGE VALUES OF INJECTION MOLDED SPECIMENS PERMANENCE English SI Metric ASTM TEST Specific Gravity D 792 Molding Shrinkage 1/8 in (3.2 mm) section in/in % D 955 MECHANICAL Tensile Strength 750 psi 5 MPa D 412 Tensile Elongation % % D 412 Tensile 50 % 95.0 psi 0.7 MPa D 100 % psi 1.0 MPa D 300 % psi 2.7 MPa D 412 Tear Strength, Die C pli 21.0 N/mm D 624 Peel Strength *** 90 degrees, 20 in/min (500 mm/min) PP, Failure Type R > 35.0 pli > 6.1 N/mm ISO 813 PP (30% VLF), Failure Type R > 35.0 pli > 6.1 N/mm ISO 813 PP (50% VLF), Failure Type D 17.0 pli 3.0 N/mm ISO 813 Compression Set C (73 F), Method B, Type 2 12 % 12 % D C (158 F), Method B, Type 2 38 % 38 % D 395 Hardness Shore A, 10 s delay D 2240 THERMAL Ignition Resistance* Flammability** 1/16 in 1.5 mm D 635 PROPERTY NOTES Data herein is typical and not to be construed as specifications. Unless otherwise specified, all data listed is for natural or black colored materials. Pigments can affect properties. * This rating is not intended to reflect hazards of this or any other material under actual fire conditions. ** Values per RTP Company testing. *** Values per RTP Company testing. Failure types: R=overmold failure, D=interface failure, S=substrate failure. GENERAL PROCESSING FOR INJECTION MOLDING English SI Metric Injection Pressure psi MPa Melt Temperature F C Mold Temperature F C Drying F C Moisture Content 0.04 % 0.04 %
19 tér s ér s Silica Aerogels Silica Aerogels are generally known for being an extremely lightweight transparent solid (down to <0.05 g/cm3) with excellent thermal insulating properties, high temperature stability, very low dielectric constant, and extremely high surface area. Some initial applications have included atomic particle detectors and super insulation for aerospace applications and they were used to insulate the Mars rover. Silica Aerogel MSDS Our standard silica aerogel is formed into translucent monolithic blocks with carefully controlled densities. The standard density is nominally 0.1 g/cm3 with a surface area of about 800 m2/g. Densities from 0.01 to 0.30 g/cm3 are commonly available. As the silica Aerogel monolithic blocks are quite friable, we offer random pieces 0.2 to 2.0 cm for evaluation purposes. These are sold in standard packages of 10, 50, and 250 grams. Monolithic blocks up to 4" x 8" x 0.5" are standard. Specifications Properties Value Density 0.1 ( ) g/cm 3 Dielectric Constant 1.14 (18-40 Ghz) Surface Area, BET 800 m 2 /g Percent Solids % Mean Pore Diameter Primary Particle Diameter ~20 nm 2-5 nm Index of Refraction Thermal Tolerance to 500 C Poisson's Ratio 0.2 Young's Modulus Nm 2 Tensile Strength 16 kpa Fracture Toughness ~0.8 kpa*m 1/2 Compressive Modulus Coefficient of Thermal Expansion (CTE) Electrical Resistivity Thermal Conductivity in Air Thermal Conductivity in Vacuum Sound Velocity Through the Medium Color 0.3 MPa 2 C ohm-cm W/m/ K W/m/ K 100 m/sec translucent
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