A method of thermocompressive bonding of one or more electrical devices using individual heating elements and a resilient member to force the individual heating elements into compressive engagement with the electrical devices is provided. The individual heating elements may be Curie-point heating elements or conventional resistive heating elements. A method of thermocompressive bonding of one or more electrical devices using a transparent flexible platen and thermal radiation is also provided. In one embodiment, the thermal radiation is near infra-red thermal radiation and the transparent flexible platen is composed of silicone rubber. The bonding material may be an adhesive or a thermoplastic bonding material. A method of capacitively coupling a semiconductor chip to an electrical component with a pressure sensitive adhesive is also provided. The method includes compressing the chip by forcing a flexible platen of a bonding device into compressive engagement with the semiconductor chip.