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    ๋น„๋“ฑ๋ฐฉ์„ฑ ์žฌ๋ฃŒ์— ๋Œ€ํ•œ ์ž๊ฐ€ ํ•™์Šต ๋ฐ์ดํ„ฐ ๊ธฐ๋ฐ˜์˜ ํ•ญ๋ณต ์กฐ๊ฑด

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    ํ•™์œ„๋…ผ๋ฌธ(์„์‚ฌ)--์„œ์šธ๋Œ€ํ•™๊ต ๋Œ€ํ•™์› :๊ณต๊ณผ๋Œ€ํ•™ ๊ธฐ๊ณ„ํ•ญ๊ณต๊ณตํ•™๋ถ€,2019. 8. ์œค๊ตฐ์ง„.Yield criteria have been one of the essential theories for structural analysis to prevent undesirable material behaviors. Although the theories have been developed with high accuracy, many anisotropic parameters are necessary to complete anisotropic yield equations. Many experimental tests are required to obtain them due to uncertainty of anisotropic materials. The major purpose of this thesis is to propose a new methodology that can identify anisotropic yield criterion of uncharacterized new materials. The new methodology creates new yield criteria by means of two subsequent steps: 1) self-learning inverse finite element (SELIFE) simulations with minimal experimental measurements and 2) data-driven mechanics approach. SELIFE can self-learn stress-strain time histories of any material behavior based on boundary reaction forces, displacements and/or internal displacements from experiments. Self-learning capability of material behavior in the SELIFE analysis is enabled through adaptive progressive training of artificial neural network (ANN)-based material constitutive models. From the self-learned stress-strain data, sufficient initial yield stresses were extracted in comprehensive stress increment directions. This is called data-processing step. Following the data-processing, symbolic regression via genetic programming is performed to derive a new data-driven anisotropic yield criterion. For an example, Hills anisotropic yield criterion is used, which is assumed as unknown. A biaxial specimen was modeled subjected to four displacement boundary conditions to get sufficient initial yield stress data. Finally, the biaxial simulation was conducted with the data-driven yield criterion in ABAQUS for verification. Through SELIFE simulation and data-driven mechanics approach, a new anisotropic yield criterion was obtained and compared with reference yield criteria.ํ•ญ๋ณต ๊ธฐ์ค€์€ ์›ํ•˜์ง€ ์•Š์€ ๋ฌผ์งˆ์  ๊ฑฐ๋™์„ ๋ง‰๊ธฐ ์œ„ํ•œ ๊ตฌ์กฐ ๋ถ„์„์— ํ•„์ˆ˜์ ์ธ ์ด๋ก  ์ค‘ ํ•˜๋‚˜์ด๋‹ค. ๋น„๋ก ์ด ์ด๋ก ๋“ค์ด ๋†’์€ ์ •ํ™•๋„๋กœ ๊ฐœ๋ฐœ๋˜์—ˆ์ง€๋งŒ, ๋น„๋“ฑ๋ฐฉ์„ฑ ํ•ญ๋ณต ๊ธฐ์ค€์‹์„ ์™„์„ฑํ•˜๊ธฐ ์œ„ํ•ด์„œ๋Š” ๋งŽ์€ ๋น„๋“ฑ๋ฐฉ์„ฑ ๋ณ€์ˆ˜๊ฐ€ ํ•„์š”ํ•˜๋‹ค. ๊ทธ๋ฆฌ๊ณ  ๋น„๋“ฑ๋ฐฉ์„ฑ ๋ฌผ์งˆ์˜ ๋ถˆํ™•์‹ค์„ฑ์œผ๋กœ ์ธํ•ด ๋งŽ์€ ์‹คํ—˜ ํ…Œ์ŠคํŠธ๊ฐ€ ํ•„์š”ํ•˜๋‹ค. ๋ณธ ๋…ผ๋ฌธ์˜ ์ฃผ์š” ๋ชฉ์ ์€ ํŠน์ง• ์—†๋Š” ์ƒˆ๋กœ์šด ๋ฌผ์„ฑ์˜ ๋น„๋“ฑ๋ฐฉ์„ฑ ํ•ญ๋ณต ๊ธฐ์ค€์„ ์‹๋ณ„ํ•  ์ˆ˜ ์žˆ๋Š” ์ƒˆ๋กœ์šด ๋ฐฉ๋ฒ•๋ก ์„ ์ œ์•ˆํ•˜๋Š” ๊ฒƒ์ด๋‹ค. ์ƒˆ๋กœ์šด ๋ฐฉ๋ฒ•๋ก ์€ 1) ์ตœ์†Œํ•œ์˜ ์‹คํ—˜ ์ธก์ •์„ ํ†ตํ•œ ์ž๊ธฐ ํ•™์Šต ์œ ํ•œ ์š”์†Œ SELIFE ์‹œ๋ฎฌ๋ ˆ์ด์…˜๊ณผ 2) ๋ฐ์ดํ„ฐ ๊ธฐ๋ฐ˜ ์—ญํ•™ ์ ‘๊ทผ์˜ ๋‘ ๊ฐ€์ง€ ๋‹จ๊ณ„๋ฅผ ํ†ตํ•ด ์ƒˆ๋กœ์šด ํ•ญ๋ณต ๊ธฐ์ค€์„ ์ƒ์„ฑํ•œ๋‹ค. SELIFE๋Š” ๊ฒฝ๊ณ„ ํž˜ ์กฐ๊ฑด, ๊ฒฝ๊ณ„ ๋ณ€์œ„ ์กฐ๊ฑด ๋ฐ/๋˜๋Š” ์‹คํ—˜์œผ๋กœ๋ถ€ํ„ฐ ๋‚ด๋ถ€ ๋ณ€์œ„์— ๊ธฐ์ดˆํ•œ ๋ชจ๋“  ๋ฌผ์งˆ ๊ฑฐ๋™์˜ ์‘๋ ฅ-๋ณ€ํ˜• ์‹œ๊ฐ„ ์ด๋ ฅ์„ ์Šค์Šค๋กœ ํ•™์Šตํ•  ์ˆ˜ ์žˆ๋‹ค. SELIFE ๋ถ„์„์—์„œ ๋ฌผ์งˆ ๊ฑฐ๋™์˜ ์ž๊ธฐ ํ•™์Šต ๋Šฅ๋ ฅ์€ ์ธ๊ณต์‹ ๊ฒฝ๋ง ๊ธฐ๋ฐ˜ ๋ฌผ์งˆ ๊ตฌ์„ฑ ๋ชจ๋ธ์˜ ์ ์‘์  ์ง„ํ–‰์  ํ›ˆ๋ จ์„ ํ†ตํ•ด ํ™œ์„ฑํ™”๋œ๋‹ค. ์ž์ฒด ํ•™์Šต๋œ ์‘๋ ฅ-๋ณ€ํ˜•๋ฅ  ๋ฐ์ดํ„ฐ๋กœ๋ถ€ํ„ฐ, ์ถฉ๋ถ„ํ•œ ์ดˆ๊ธฐ ํ•ญ๋ณต ์‘๋ ฅ์„ ํฌ๊ด„์ ์ธ ์‘๋ ฅ ์ฆ๊ฐ€ ๋ฐฉํ–ฅ์œผ๋กœ ์ถ”์ถœํ–ˆ๋‹ค. ์ด๊ฒƒ์„ ๋ฐ์ดํ„ฐ ์ฒ˜๋ฆฌ ๋‹จ๊ณ„๋ผ๊ณ  ํ•œ๋‹ค. ๋ฐ์ดํ„ฐ ์ฒ˜๋ฆฌ ์ดํ›„์—๋Š” ์ƒˆ๋กœ์šด ๋ฐ์ดํ„ฐ ๊ธฐ๋ฐ˜ ๋น„๋“ฑ๋ฐฉ์„ฑ ํ•ญ๋ณต ๊ธฐ์ค€์„ ๋„์ถœํ•˜๊ธฐ ์œ„ํ•ด ์œ ์ „์ž ํ”„๋กœ๊ทธ๋ž˜๋ฐ์„ ํ†ตํ•œ ์‹ฌ๋ณผ๋ฆญ ํšŒ๊ท€ ๋ถ„์„์„ ์ˆ˜ํ–‰ํ•œ๋‹ค. ์˜ˆ๋ฅผ ๋“ค์–ด, Hill์˜ ๋น„๋“ฑ๋ฐฉ์„ฑ ํ•ญ๋ณต ๊ธฐ์ค€์‹์ด ์‚ฌ์šฉ๋˜๋Š”๋ฐ, ์ด ๊ธฐ์ค€์‹์€ ์•Œ๋ ค์ง€์ง€ ์•Š์€ ๊ฒƒ์œผ๋กœ ๊ฐ€์ •ํ•œ๋‹ค. ์ถฉ๋ถ„ํ•˜๊ณ  ๋‹ค์–‘ํ•œ ์ดˆ๊ธฐ ํ•ญ๋ณต ์‘๋ ฅ ๋ฐ์ดํ„ฐ๋ฅผ ์–ป๊ธฐ ์œ„ํ•ด ์ด์ถ• ์‹œํŽธ์— 4๊ฐœ์˜ ๋ณ€์œ„ ๊ฒฝ๊ณ„ ์กฐ๊ฑด์„ ์ ์šฉํ•˜์—ฌ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ํ•˜์˜€๋‹ค. ๋งˆ์ง€๋ง‰์œผ๋กœ, ABAQUS์— ๋ฐ์ดํ„ฐ ๊ธฐ๋ฐ˜ ํ•ญ๋ณต ๊ธฐ์ค€์‹์„ ์‚ฌ์šฉํ•˜์—ฌ ์ด์ถ• ์‹œ๋ฎฌ๋ ˆ์ด์…˜์ด ์‹คํ–‰๋˜์—ˆ๋‹ค. SELIFE ์‹œ๋ฎฌ๋ ˆ์ด์…˜๊ณผ ๋ฐ์ดํ„ฐ ๊ธฐ๋ฐ˜ ์—ญํ•™ ์ ‘๊ทผ๋ฒ•์„ ํ†ตํ•ด ์ƒˆ๋กœ์šด ๋น„๋“ฑ๋ฐฉ์„ฑ ํ•ญ๋ณต ๊ธฐ์ค€์‹์„ ์–ป์–ด ๊ธฐ์ค€ ํ•ญ๋ณต ๊ธฐ์ค€์‹๊ณผ ๋น„๊ตํ–ˆ๋‹ค.1. Introduction 1.1. Background and Motivation 1.2. Objectives and Thesis Overview 2. Data-Driven Mechanics and Artificial Neural Network Material Models 2.1. Data-Driven Mechanics 2.2. Artificial Neural Network Materials Models 3. Self-Learning Inverse Finite Element (SELIFE) Simulation 3.1. ANN-Based Material Constitutive Model for Anisotropic Materials 3.2. Auto-Adaptive Training of ANN-Based Model 4. Self-Learning Data-Driven Mechanics 4.1. Data-Processing Algorithm 4.2. Symbolic Regression by Genetic Programming 5. Verification of SELIFE and Self-Learning Data-Driven Yield Criterion 5.1. Verification of SELIFE from the Uniaxial Tensile Experimental Measurements 5.2. Experimental Reference Simulations with Anisotropic Material 5.3. ANN Architecture and Self-Learning Parameters 5.4. Results from SELIFE Simulation with Tension-Tension Displacement Boundary Condition 5.5. Data-Processing 5.6. Data Preparation for Genetic Programming 5.7. Self-Learning Data-Driven Anisotropic Yield Criterion from the Reference Simulations 5.8. Self-Learning Data-Driven Anisotropic Yield Criterion from SELIFE Simulations 5.9. Verification of the GP Driven Yield Criterion 6. Conclusion and Future Works 6.1. Conclusion 6.2. Future Works 7. ReferenceMaste

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    ํ•™์œ„๋…ผ๋ฌธ(์„์‚ฌ)--์„œ์šธ๋Œ€ํ•™๊ต ํ™˜๊ฒฝ๋Œ€ํ•™์› :ํ™˜๊ฒฝ๊ณ„ํšํ•™๊ณผ,2001.Maste

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    ์ฃผํƒ์ •์ฑ…์€ ์ €์†Œ๋“์ธต์˜ ์ฃผ๊ฑฐ์•ˆ์ •์„ ๋„๋ชจํ•˜๋Š”๋ฐ ์ผ์ฐจ์ ์ธ ๋ชฉํ‘œ๋ฅผ ๋งž์ถœ ํ•„์š”๊ฐ€ ์žˆ๋‹ค. ์ด๋Ÿฌํ•œ ๊ด€์ ์—์„œ ์ด ๊ธ€์—์„œ๋Š” ๊ธฐ์„ฑ๋„์‹œ ๋‚ด ์ €์†Œ๋“์ธต์˜ ์ฃผ๊ฑฐ์•ˆ์ •์„ ์œ„ํ•œ ๊ณต๊ณต์ž„๋Œ€์ฃผํƒ ํ™•์ถฉ์„ ์œ„ํ•ด ์ƒˆ๋กœ์šด ์žฌ์›์กฐ๋‹ฌ ๊ธฐ๋ฒ•๊ณผ ํ† ์ง€์ด์šฉ๊ธฐ๋ฒ•์ธ ๋ฏผ๊ฐ„์ž๋ณธํ™œ์šฉ๊ธฐ๋ฒ•(PFI, Private Finance Initiative)๊ณผ ๊ณ„์ธตํ˜ผํ•ฉํ˜• ์šฉ๋„์ง€์—ญ์ œ(Inclusionary Zoning)์˜ ํ™œ์šฉ๋ฐฉ์•ˆ์„ ๋ชจ์ƒ‰ํ•˜๊ณ ์ž ํ•œ๋‹ค. ํ˜„์žฌ ์ €์†Œ๋“์ธต์„ ์œ„ํ•œ ๊ตญ๋ฏผ์ž„๋Œ€์ฃผํƒ ๊ฑด์„ค๊ณ„ํš์ด ๋ฐœํ‘œ๋˜์–ด ์ถ”์ง„ ์ค‘์ด๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ๊ตญ๋ฏผ์ž„๋Œ€์ฃผํƒ์ •์ฑ…์€ ์ •์ฑ…์˜ ํšจ๊ณผ์„ฑ ์ธก๋ฉด์—์„œ ํฌ๊ฒŒ ์„ธ ๊ฐ€์ง€ ๋ฌธ์ œ์ ์„ ๊ฐ€์ง€๊ณ  ์žˆ๋‹ค. ์ฒซ์งธ, ์ฃผํƒ์ด ์ •์ž‘ ํ•„์š”ํ•œ ์ง€์—ญ์— ๊ณต๊ธ‰๋˜๊ธฐ๋ณด๋‹ค๋Š” ํƒ์ง€ ํ™•๋ณด๊ฐ€ ๊ฐ€๋Šฅํ•œ ์ง€์—ญ์— ์šฐ์„ ์ ์œผ๋กœ ๊ณต๊ธ‰๋จ์œผ๋กœ์จ, ์†Œ์š”์ง€์—ญ๊ณผ ๊ณต๊ธ‰์ง€์—ญ๊ฐ„ ๋ถˆ์ผ์น˜๊ฐ€ ์ผ์–ด๋‚˜๋Š” ์ . ๋‘˜์งธ, ์ •๋ถ€์žฌ์ •ํˆฌ์ž์˜ ์ œ์•ฝ์œผ๋กœ ์ธํ•ด ์ตœ์ €์†Œ๋“์ธต์€ ๊ณต๊ณต์ž„๋Œ€์ฃผํƒ์— ์ž…์ฃผํ•˜๊ธฐ ์–ด๋ ต๋‹ค๋Š” ์ . ์…‹์งธ, ๋Œ€๊ทœ๋ชจ ์ž„๋Œ€์ฃผํƒ์ด ๊ณต๊ธ‰๊ณผ ๊ด€๋ฆฌ๊ฐ€ ํ†ตํ•ฉ์ ์œผ๋กœ ์ด๋ฃจ์–ด์ง€์ง€ ์•Š์€ ์ƒํƒœ์—์„œ ์ž„๋Œ€์ฃผํƒ๊ณต๊ธ‰ ์ดํ›„์˜ ๊ฑด๋ฌผ ๊ด€๋ฆฌ ๋ฐ ์ž…์ฃผ์ž ๊ด€๋ฆฌ๊ณ„ํš์ด ๋ฏธํกํ•˜์—ฌ ์ž„๋Œ€์ฃผํƒ์˜ ํšจ์œจ์  ํ™œ์šฉ์ด ์œ„ํ˜‘๋ฐ›๊ณ  ์žˆ๋‹ค๋Š” ์ ์ด๋‹ค
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