535.737.81 - Multiscale Modeling and Simulation of Mechanical Systems

Mechanical Engineering
Summer 2024


This course provides a comprehensive understanding of the principles, methodologies, and applications of multiple length and time-scale techniques for designing complex engineering systems. Through a combination of lectures, discussion, case studies and hands-on applications, students will learn how to apply a variety of microscopic and macroscopic modeling techniques such as finite element method, molecular dynamics, ab-initio and related data-driven skills that are necessary to tackle real-world challenges in engineering and technology.

Expanded Course Description




Introduction to Multiscale Modeling

1.     Overview of multiscale phenomena in mechanical systems

05/28 to 06/04

Challenges and opportunities

Introduction to Materials

2.     Classes of materials:


Perfect/Defect materials

06/04 to 06/11

Material dependent mechanical response,

Effect of defects: vacancies, surfaces, grain boundaries, dislocations, voids

Atomic scale techniques

3.     Quantum mechanics and density functional theory

06/11 to 06/18

Mechanical properties of materials: Elastic constants, modulus of elasticity, Poisson’s ratio

4.     Interatomic potentials, force fields, molecular dynamics with Classical/Newtonian mechanics

06/18 to 06/25

Types of FFs, Stress-strain curves, temperature dependent properties

Mesoscale techniques

5.     Introduction to coarse-graining techniques

06/25 to 07/02

Crystal plasticity models and


6.     Phase field simulations and microstructural evaluation

07/02 to 07/09

Allen-Cahn and related models

Continuum scale techniques

7.     Continuum mechanics and finite element methods

07/09 to 07/16

Galerkin method and partial differential equation solutions for various applications

8.     Modeling of composite materials and structures

07/16 to 07/23

Lower scale parameter feedback to FEM

Multiscale coupling techniques

9.     Bridging different scales and case studies

07/23 to 07/30

Concurrent and hierarchical approaches, Various industries using multiscale modeling

Advanced Topics

10.  Machine learning in multiscale modeling

07/30 to 08/06

Forward vs Inverse design, Machine learning vs Deep learning, Universal models such as large language models

11.  Uncertainty quantification and sensitivity analysis

08/06 to 08/13

Various sources of uncertainties and their importance

Group discussion and Final exam

08/13 to 08/22



Default placeholder image. No profile image found for Kamal Choudhary.

Kamal Choudhary

Course Structure

The course materials are divided into modules which can be accessed by clicking Modules on the course menu. A module will have several sections including the overview, content, readings, discussions, and assignments. You are encouraged to preview all sections of the module before starting. Most modules run for a period of seven (7) days, exceptions are noted in the Course Outline. You should regularly check the Calendar and Announcements for assignment due dates.

Course Topics

Course Goals

By the end of the course, students should be able to:

  1. Understand the fundamental concepts of multiscale modeling and simulation.
  2. Apply different multiscale modeling techniques to mechanical systems.
  3. Develop and implement simulation models for various mechanical properties.
  4. Analyze and interpret simulation results for engineering applications.


There is no required textbook for this course.

Student Coursework Requirements

Preparation and Participation (Module Discussion): 20%

Assignments: 30%

Midterm Exam: 25 %

Final Exam: 25%

Preparation and participation are evaluated on: Timeliness (50 %) and Critical thinking (50 %).

Grading Policy

EP uses a +/- grading system (see “Grading System”, Graduate Programs catalog, p. 10).

Score RangeLetter Grade
100-97= A+
96-93= A
92-90= A−
89-87= B+
86-83= B
82-80= B−
79-77= C+
76-73= C
72-70= C−
69-67= D+
66-63= D
<63= F

Academic Policies

Deadlines for Adding, Dropping and Withdrawing from Courses

Students may add a course up to one week after the start of the term for that particular course. Students may drop courses according to the drop deadlines outlined in the EP academic calendar (https://ep.jhu.edu/student-services/academic-calendar/). Between the 6th week of the class and prior to the final withdrawal deadline, a student may withdraw from a course with a W on their academic record. A record of the course will remain on the academic record with a W appearing in the grade column to indicate that the student registered and withdrew from the course.

Academic Misconduct Policy

All students are required to read, know, and comply with the Johns Hopkins University Krieger School of Arts and Sciences (KSAS) / Whiting School of Engineering (WSE) Procedures for Handling Allegations of Misconduct by Full-Time and Part-Time Graduate Students.

This policy prohibits academic misconduct, including but not limited to the following: cheating or facilitating cheating; plagiarism; reuse of assignments; unauthorized collaboration; alteration of graded assignments; and unfair competition. Course materials (old assignments, texts, or examinations, etc.) should not be shared unless authorized by the course instructor. Any questions related to this policy should be directed to EP’s academic integrity officer at ep-academic-integrity@jhu.edu.

Students with Disabilities - Accommodations and Accessibility

Johns Hopkins University values diversity and inclusion. We are committed to providing welcoming, equitable, and accessible educational experiences for all students. Students with disabilities (including those with psychological conditions, medical conditions and temporary disabilities) can request accommodations for this course by providing an Accommodation Letter issued by Student Disability Services (SDS). Please request accommodations for this course as early as possible to provide time for effective communication and arrangements.

For further information or to start the process of requesting accommodations, please contact Student Disability Services at Engineering for Professionals, ep-disability-svcs@jhu.edu.

Student Conduct Code

The fundamental purpose of the JHU regulation of student conduct is to promote and to protect the health, safety, welfare, property, and rights of all members of the University community as well as to promote the orderly operation of the University and to safeguard its property and facilities. As members of the University community, students accept certain responsibilities which support the educational mission and create an environment in which all students are afforded the same opportunity to succeed academically. 

For a full description of the code please visit the following website: https://studentaffairs.jhu.edu/policies-guidelines/student-code/

Classroom Climate

JHU is committed to creating a classroom environment that values the diversity of experiences and perspectives that all students bring. Everyone has the right to be treated with dignity and respect. Fostering an inclusive climate is important. Research and experience show that students who interact with peers who are different from themselves learn new things and experience tangible educational outcomes. At no time in this learning process should someone be singled out or treated unequally on the basis of any seen or unseen part of their identity. 
If you have concerns in this course about harassment, discrimination, or any unequal treatment, or if you seek accommodations or resources, please reach out to the course instructor directly. Reporting will never impact your course grade. You may also share concerns with your program chair, the Assistant Dean for Diversity and Inclusion, or the Office of Institutional Equity. In handling reports, people will protect your privacy as much as possible, but faculty and staff are required to officially report information for some cases (e.g. sexual harassment).

Course Auditing

When a student enrolls in an EP course with “audit” status, the student must reach an understanding with the instructor as to what is required to earn the “audit.” If the student does not meet those expectations, the instructor must notify the EP Registration Team [EP-Registration@exchange.johnshopkins.edu] in order for the student to be retroactively dropped or withdrawn from the course (depending on when the "audit" was requested and in accordance with EP registration deadlines). All lecture content will remain accessible to auditing students, but access to all other course material is left to the discretion of the instructor.