高等材料力學

臺北科技大學 115-1 學期課程，課號 363949。

課程大綱

課程重要警示 (Critical Course Warning): 全英語授課 – 選課門檻提醒 (All English Instruction – Enrollment Threshold Warning): 本課程採全英語授課。若您的英語能力不足以流暢聽懂課程內容、參與討論，或僅為取得學分而無心學習者，請勿選修。 This course is conducted entirely in English. If your English proficiency is insufficient to fluently understand lectures and participate in discussions, or if you are enrolling merely to obtain credits without a genuine commitment to learning, DO NOT ENROLL in this course. 高等課程 – 難度與預期及格率 (Advanced Course – Difficulty & Anticipated Pass Rate): 此為高等進階課程，內容具相當難度，對學生的投入程度要求較高。本課程預期及格率設定於 60% 至 80% 之間，請確實評估自身學術能力、學習意願及時間投入。 This course, "Advanced Mechanics of Materials," delves into the sophisticated mechanical behavior of materials, with a primary focus on composite materials. 本課程「高等材料力學」旨在深入探討材料的精密力學行為，並重點專研複合材料。 While building upon fundamental mechanics of materials principles, the curriculum is specifically tailored to explore the unique characteristics of composites. 在既有材料力學基礎上，本課程將針對複合材料的獨特性質進行深入教學。 Topics include the introduction to constituent materials (fibers, matrices, and emerging sustainable components like biochar), micromechanics, macromechanical behavior of a lamina, classical lamination theory, stiffness and strength analysis, stress-strain transformations, fatigue failure, and damage mechanisms in composites. 內容包括組成材料介紹（纖維、基材，以及如生物炭等新興永續性組分）、微觀力學、單層板的宏觀力學行為、古典層板理論、勁度與強度分析、應力應變轉換、複合材料的疲勞破壞與損傷機制。 A significant emphasis will be placed on understanding and utilizing biochar-enhanced composites. 課程將特別強調對生物炭增強複合材料的理解與應用。 The course structure incorporates laboratory sessions for hands-on experience and online teaching weeks for flexible learning. 課程結構包含實驗課程以獲取實作經驗，及線上教學週以促進彈性學習。 The course will also investigate the application of advanced composite materials, including those incorporating biochar, particularly in areas like railway systems, sustainable construction, and lightweight structural design. 課程亦將探討高等複合材料的應用，包含那些整合生物炭的材料，尤其是在鐵道系統、永續建築及輕量化結構設計等領域。 課程重要事項 (Important Course Notes) Bilingual Instruction (雙語教學): This course will be conducted with materials and explanations provided in both English and Chinese to support diverse learning needs. 本課程將以中英文雙語提供教材與解說，以支持多元學習需求。 Language of Assessment (評量語言): Major assignments, presentations, and examinations are required to be completed in English. 主要作業、報告及考試需以英文完成。 Laboratory Requirement (實驗課程要求): This course includes several hands-on laboratory sessions. 本課程包含數次實作實驗課程。 Active participation and completion of lab-related tasks are mandatory. 學生必須積極參與並完成實驗相關任務。 Online Teaching Weeks (線上教學週): Specific weeks will be conducted online. 特定教學週將採線上教學。 Students are expected to engage with materials and activities as directed on the Microsoft Teams. 學生應依循Microsoft Teams之指示參與課程材料與活動。 Attendance Policy (出席規定): Students who are absent three (3) or more times (including labs and online sessions where applicable) during the semester will automatically receive a failing grade for the course. 一學期內缺席三（3）次（含以上，適用於實驗課與線上課程應參與部分）者，該課程成績以不及格計。(缺席三次不及格)

課程進度

Week 11 (第十一週 – 線上教學): Strength and Failure Theories for Composite Laminae / Stiffness of Off-Axis UD Composites 複合材料單層板之強度與破壞理論 / 非軸向單向性複合材料勁度 Introduction to the major failure criteria for a unidirectional lamina, including maximum stress, maximum strain, Tsai-Hill, and Tsai-Wu theories. Calculation of stiffness and compliance for off-axis (non-principal direction) UD composites, and prediction of first-ply failure. 介紹單向性單層板的主要破壞準則，包含最大應力、最大應變、Tsai-Hill 及 Tsai-Wu 理論。計算非軸向（非主方向）單向性複合材料的勁度與柔度，並預測首層破壞。 Competency Indicator: C406 能力指標: C406 Week 12 (第十二週): Failure Analysis and Design of Composite Laminates 複合材料層板之破壞分析與設計 Application of lamina failure criteria to multidirectional laminates. First-ply failure (FPF) and last-ply failure (LPF), progressive (ply-by-ply) failure analysis, and the introduction of safety factors and strength ratios for design. Brief discussion of how particulate fillers such as biochar affect laminate strength and damage progression. 將單層板破壞準則應用於多方向層板。首層破壞 (FPF) 與末層破壞 (LPF)、漸進式（逐層）破壞分析，並導入設計用之安全係數與強度比。簡要討論生物炭等顆粒型填充劑如何影響層板強度與損傷發展。 Competency Indicator: C406 (Continued) 能力指標: C406 (續) Week 13 (第十三週): (Lab Session / 實驗課) Lab #4: Strength & Failure Testing of Composites 實驗 #4：複合材料強度與破壞測試 Experimental determination of composite strength; tensile and/or flexural testing to failure, observation of failure modes (fiber breakage, matrix cracking, delamination). Comparison of measured strength with failure-theory predictions. 複合材料強度之實驗測定；進行拉伸與/或彎曲破壞試驗，觀察破壞模式（纖維斷裂、基材裂紋、層間剝離）。比較實測強度與破壞理論之預測值。 Competency Indicator: C406 (Practical Application / 實務應用) Week 14 (第十四週): Hygrothermal and Environmental Effects on Composites 複合材料之濕熱與環境效應 Effects of temperature and moisture on composite behavior. Hygrothermal stresses and strains, residual (curing) stresses in laminates, and coefficients of thermal/moisture expansion. Discussion of environmental durability and degradation, with attention to the moisture sensitivity of biochar-filled and bio-based composites. 溫度與濕度對複合材料行為之影響。濕熱應力與應變、層板中的殘留（固化）應力，以及熱膨脹/濕膨脹係數。探討環境耐久性與劣化，並特別關注含生物炭及生質基複合材料之吸濕敏感性。 Competency Indicator: C407 能力指標: C407 Week 15 (第十五週): (Online Teaching / 線上教學) Design of Laminated Composite Structures 層狀複合材料結構之設計 Design methodology for laminated composite structures. Selection of stacking sequence and ply orientation to meet stiffness and strength requirements, design for specific loading cases, and use of carpet plots / design charts. Introduction to weight and cost trade-offs. 層狀複合材料結構之設計方法。選擇疊層順序與纖維方向以滿足勁度與強度需求、針對特定負載條件之設計，以及地毯圖／設計圖表之運用。初步介紹重量與成本之取捨。 Competency Indicator: C407 (Continued) 能力指標: C407 (續) Week 16 (第十六週): Special Topics: Sustainable and Biochar-Reinforced Composites 專題：永續與生物炭增強複合材料 Emerging and sustainable composites. In-depth look at biochar-reinforced and bio-based composite materials: processing, property tuning, and applications. Introduction to life-cycle assessment (LCA), recyclability, and the role of sustainable fillers in reducing environmental impact. 新興與永續複合材料。深入探討生物炭增強與生質基複合材料：製程、性質調控與應用。介紹生命週期評估 (LCA)、可回收性，以及永續填充劑在降低環境衝擊上所扮演的角色。 Competency Indicator: C408 能力指標: C408 Week 17 (第十七週): Final Project Presentations & Discussion 期末專題報告與研討 Students present analysis, design, or experimental work integrating micromechanics, lamination theory, failure analysis, and sustainable-material consideration

評量方式

The final grade will be determined based on the following components: 課程總成績將依下列項目評定： Homework / Assignments (作業 / 功課): 20% (Potentially including biochar composite design/analysis tasks & Lab Reports) (可能包含生物炭複合材料設計/分析作業及實驗報告) • 課堂行為與印象分數 (Classroom Conduct & Impression Score): 20% To maintain a productive learning environment and ensure classroom discipline, all students are expected to actively engage with the course material and refrain from disruptive activities. 為維持良好學習環境及課堂紀律，所有學生應專注於課程內容，避〇從事干擾教學之行為。 Students found engaging in personal activities unrelated to the course content during class time (e.g., using mobile phones for social media, playing games, attending to private work) will, for that particular class session, receive a zero mark for any applicable impression or participation score component. 若於課堂時間從事與課程內容無關之個人事務（例如：使用手機聊天、玩遊戲、處理私人工作等），該堂課之印象分數或相關參與度評分將以零分計算。(課堂中老師不做提醒，直接評分) Midterm Exam (期中考試): 25% Final Exam (期末考試): 25% Attendance & Participation (出席率與課堂參與): 10% (Lab and Class / 實驗課與一般課堂)

教材

【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：是 R.M. Jones, Mechanics of Composite Materials, Taylor & Francis. Kaw, A.K., Mechanics of Composite Materials, CRC Press.