The concept of multiscale modeling embodies the idea that a comprehensive description of a material will require an understanding over multiple time and length scales. A multiscale model requires that descriptions at all levels be consistent with each other, which can be particularly demanding for advanced materials and complex fluids. For crystalline materials, emerging modeling approaches have married smalland intermediate-scale descriptions in a highly effective manner, but challenges remain at long time and length scales. For soft materials, such as polymers or liquid crystals, modeling techniques have adopted a more or less systematic coarse-graining approach, in which atomic and molecular details are gradually blurred as one seeks to describe longer length scales. This approach presents its own brand of challenges. And, in spite of rapid advances, entire classes of materials, including amorphous glasses, foams, and gels, have resisted attempts to describe their structure and dynamics over long and relevant length and time scales. This issue of MRS Bulletin covers some areas of materials modeling in which enormous advances have been made, but which continue to raise intriguing questions and formidable challenges.wind of activity in the area of multiscale modeling and to scientific advances that even for the expert have been difficult to digest. For hard materials, available methods have matured to the point where increasingly comprehensive calculations can be performed to address subtle questions about relations between chemistry, structure, and material behavior. But among all the excitement, entire classes of materials have resisted attempts by modelers to reveal their secrets. In the particular case of soft materials (e.g., polymeric glasses and melts, biological macromolecules), widely used modeling approaches require enormous leaps of faith, and well-founded theoretical frameworks for the development of multiscale modeling strategies are only now beginning to emerge.For this issue of MRS Bulletin, we have identified five areas of materials modeling in which enormous advances have been made but which continue to raise intriguing questions and formidable challenges. These five areas are by no means comprehensive, and they represent only a thin slice of the materials modeling community. They do provide, however, a relatively broad overview of current thinking and emerging trends, and they offer a perspective on some of the developments that we might expect over the next decade.The methodology to be used for a particular problem depends on the length and time scales of interest (Figure 1). The concept of multiscale modeling embodies the idea that a comprehensive description of a material will require an understanding over multiple length and time scales. More subtle is the fact that a comprehensive, multiscale model requires that descriptions at all levels be consistent with each other. That requirement for consistency often demands that models for different processes or pieces of a problem be coup...